Valley filter and valley valve in graphene

Abstract

It is known that the lowest propagating mode in a narrow ballistic ribbon of graphene may lack the twofold valley degeneracy of higher modes. Depending on the crystallographic orientation of the ribbon axis, the lowest mode mixes both valleys or lies predominantly in a single valley (chosen by the direction of propagation). We show, using a tight-binding model calculation, that a nonequilibrium valley polarization can be realized in a sheet of graphene, upon injection of current through a ballistic point contact with zigzag edges. The polarity can be inverted by local application of a gate voltage to the point contact region. Two valley filters in series may function as an electrostatically controlled ``valley valve'', representing a zero-magnetic-field counterpart to the familiar spin valve.

RevTeX, 4 pages, 5 figures

References in corpus (14)

• Electric Field Effect in Atomically Thin Carbon Films
• Chiral tunneling and the Klein paradox in graphene
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Electronic States of Graphene Nanoribbons
• Weak localisation magnetoresistance and valley symmetry in graphene
• Strong suppression of weak (anti)localization in graphene
• Quantum-limited shot noise in graphene
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Conductance quantization in mesoscopic graphene
• Quantum dots in graphene
• Quantum Point Contacts
• Recipes for spin-based quantum computing
• Quantized conductance in an AlAs 2D electron system quantum point contact

Cited by in corpus (627)

• The electronic properties of graphene
• Berry Phase Effects on Electronic Properties
• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Control of valley polarization in monolayer MoS2 by optical helicity
• Valley polarization in MoS2 monolayers by optical pumping
• Electronic transport in two dimensional graphene
• MoS_2 as an ideal material for valleytronics: valley-selective circular dichroism and valley Hall effect
• Chaotic Dirac billiard in graphene quantum dots
• Valley contrasting physics in graphene: magnetic moment and topological transport
• New Perspectives for Rashba Spin-Orbit Coupling
• Excitons in atomically thin transition metal dichalcogenides
• The Valley Hall Effect in MoS2 Transistors
• Vapor Phase Growth and Grain Boundary Structure of Molybdenum Disulfide Atomic Layers
• Production, properties and potential of graphene
• Substrate-induced bandgap in graphene on hexagonal boron nitride
• Optical Generation of Excitonic Valley Coherence in Monolayer WSe2
• Carrier transport in 2D graphene layers
• Valley Dependent Optoelectronics from Inversion Symmetry Breaking
• Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides
• Observation of topological valley transport of sound in sonic crystals
• Magnetic Control of Valley Pseudospin in Monolayer WSe2
• Detecting Topological Currents in Graphene Superlattices
• All-Si Valley-Hall Photonic Topological Insulator
• Concepts of Ferrovalley Material and Anomalous Valley Hall Effect
• Electrical Tuning of Valley Magnetic Moment via Symmetry Control
• Topological origin of subgap conductance in insulating bilayer graphene
• Two-dimensional Dirac fermions in a topological insulator: transport in the quantum limit
• Assessment of the Thermal Conductivity of BN-C Nanostructures
• Graphene Antidot Lattices - Designed Defects and Spin Qubits
• Topological confinement in bilayer graphene
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Polycrystalline graphene and other two-dimensional materials
• Graphene valley filter using a line defect
• Visualization of unidirectional optical waveguide using topological photonic crystals made of dielectric material
• Multifunctional Antiferromagnetic Materials with Giant Piezomagnetism and Noncollinear Spin Current
• Electrical control of the valley Hall effect in bilayer MoS2 transistors
• Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
• Role of Symmetry in the Transport Properties of Graphene Nanoribbons under Bias
• Electronic properties of graphene-based bilayer systems
• Gated Silicene as a tunable source of nearly 100% spin-polarized electrons
• Robust optical emission polarization in MoS2 monolayers through selective valley excitation
• Direct Observation of Valley-polarized Topological Edge States in Designer Surface Plasmon Crystals
• Valley Vortex States in Sonic Crystals
• Valley dynamics probed through charged and neutral exciton emission in monolayer WSe2
• Edge states in Graphene: from gapped flat band to gapless chiral modes
• Modeling disorder in graphene
• High frequency electric field induced nonlinear effects in graphene (review)
• Giant and tunable valley degeneracy splitting in MoTe2
• Valley-contrasting orbital angular momentum in photonic valley crystals
• Valley-protected backscattering suppression in silicon photonic graphene
• Magnetoelectric effects and valley controlled spin quantum gates in transition metal dichalcogenide bilayers
• Novel effects of strains in graphene and other two dimensional materials
• Field-Effect Transistors Based on Few-Layered alpha-MoTe_2
• Generation and Electric Control of Spin-Coupled Valley Current in WSe2
• Coupling the valley degree of freedom to antiferromagnetic order
• Midgap states and charge inhomogeneities in corrugated graphene
• Topological Sound
• Charge Transport in Disordered Graphene-Based Low Dimensional Materials
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Spin-Valleytronics in Silicene: Quantum-Spin-Quantum-Anomalous Hall Insulators and Single-Valley Semimetals
• Helicity resolved Raman scattering of MoS2, MoSe2, WS2 and WSe2 atomic layers
• Strain-induced pseudo-magnetic field for novel graphene electronics
• Aharonov-Bohm effect and broken valley-degeneracy in graphene rings
• Control of interlayer excitons in two-dimensional van der Waals heterostructures
• Valley-dependent Brewster angles and Goos-Hanchen effect in strained graphene
• Quantized Transport in Graphene p-n Junctions in Magnetic Field
• Field-induced polarisation of Dirac valleys in bismuth
• Adsorption of molecular oxygen on doped graphene: atomic, electronic and magnetic properties
• Intrinsic spin Hall effect in monolayers of group-VI dichalcogenides: A first-principles study
• Chiral Decomposition in the Electronic Structure of Graphene Multilayers
• Valley Topological Phases in Bilayer Sonic Crystals
• Generation of pure bulk valley current in graphene
• Gate-controlled topological conducting channels in bilayer graphene
• Atomic Collapse and Quasi-Rydberg States in Graphene
• Quantum oscillations of the critical current and high-field superconducting proximity in ballistic graphene
• DNA nucleotide-specific modulation of μA transverse edge currents through a metallic graphene nanoribbon with a nanopore
• Enhanced Light-Matter Interaction in Two-Dimensional Transition Metal Dichalcogenides
• Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
• Electronic transport properties of graphene nanoribbons
• Intervalley Scattering and Localization Behaviors of Spin-Valley Coupled Dirac Fermions
• Controllable valley and spin transports in ferromagnetic silicene junctions
• Valley-dependent properties of monolayer MoSi${}_2$N${}_4$, WSi${}_2$N${}_4$ and MoSi${}_2$As${}_4$
• Valley filter in strain engineered graphene
• Electronic Highways in Bilayer Graphene
• Bound states and magnetic field-induced valley splitting in gate-tunable graphene quantum dots
• Raman Scattering at Pure Graphene Zigzag Edges
• Pseudospin-valley coupled edge states in a photonic topological insulator
• Perfect spin-fillter and spin-valve in carbon atomic chains
• Large valley splitting in monolayer WS${}_2$ by proximity coupling to an insulating antiferromagnetic substrate
• Theory of the valley-valve effect in graphene nanoribbons
• Graphene Nanobubbles as Valley Filters and Beamsplitters
• Carrier Density and Magnetism in Graphene Zigzag Nanoribbons
• Pseudospin valve in bilayer graphene: towards graphene-based pseudospintronics
• Magnetic control of the valley degree of freedom of massive Dirac fermions with application to transition metal dichalcogenides
• Valley polarized quantum Hall effect and topological insulator phase transitions in silicene
• NiCl3 Monolayer: Dirac Spin-Gapless Semiconductor and Chern Insulator
• A valley valve and electron beam splitter
• Quantized conductance of a suspended graphene nanoconstriction
• Actively controllable topological phase transition in phononic beam systems
• Colloquium: Physical properties of group-IV monochalcogenide monolayers
• Nanolithography and manipulation of graphene using an atomic force microscope
• Valley Polarization by Spin Injection in a Light-Emitting van der Waals Heterojunction
• Electrically tunable valley dynamics in twisted WSe${}_2$/WSe${}_2$ bilayers
• Orbital Hall effect as an alternative to valley Hall effect in gapped graphene
• Emergence of ferroelectricity and spin-valley properties in two-dimensional honeycomb binary compounds
• Valleytronics in merging Dirac cones: All-electric-controlled valley filter, valve and universal reversible logic gate
• Transmission through a biased graphene bilayer barrier
• Light-Induced Valleytronics in Pristine Graphene
• Gate controlled spin-valley locking of resident carriers in WSe2 monolayers
• Spin-orbit interaction and anomalous spin relaxation in carbon nanotube quantum dots
• Valley-Layer Coupling: A New Design Principle for Valleytronics
• Quantum spin/valley Hall effect and topological insulator phase transitions in silicene
• Controlled Growth of a Line Defect in Graphene and Implications for Gate-Tunable Valley Filtering
• Observation of Acoustic Valley Vortex States and Valley-Chirality Locked Beam Splitting
• Topological Imbert-Fedorov shift in Weyl semimetals
• Valleytronics in Tin (II) Sulfide
• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
• Second harmonic generation in multilayer graphene induced by direct electric current
• Band-Selective Filter in a Zigzag Graphene Nanoribbon
• Topological Invariants of Metals and Related Physical Effects
• Topological Kirchhoff Law and Bulk-Edge Correspondence for Valley-Chern and Spin-Valley-Chern Numbers
• Quantum Dot in Z-shaped Graphene Nanoribbon
• Topological kink states at a tilt boundary in gated multi-layer graphene
• Pseudospin-driven spin relaxation mechanism in graphene
• Valley pseudospin in monolayer MoSi2N4 and MoSi2As4
• Electrostatically confined monolayer graphene quantum dots with orbital and valley splittings
• Wave packet dynamics and valley filter in strained graphene
• Carbon nanoelectronics: unzipping tubes into graphene ribbons
• Zero-energy states in triangular and trapezoidal graphene structures
• Scattering-Free Optical Edge States between Heterogeneous Photonic Topological Insulators
• Electronic properties of gated triangular graphene quantum dots: Magnetism, correlations, and geometrical effects
• Generation of valley polarized current in bilayer graphene
• Ab initio calculations of ultra-short carrier dynamics in 2D materials: valley depolarization in single-layer WSe${}_2$
• Quantifying the robustness of topological slow light
• Electronic structure and magnetic properties of the graphene/Fe/Ni(111) intercalation-like system
• Valley separation in graphene by polarized light
• Valley Polarization and Inversion in Strained Graphene via Pseudo-Landau Levels, Valley Splitting of Real Landau Levels and Confined States
• Quantum confined electronic states in atomically well-defined graphene nanostructures
• Nonlinear valley and spin currents from Fermi pocket anisotropy in 2D crystals
• Chiral response of twisted bilayer graphene
• Intrinsic valley Hall transport in atomically thin MoS2
• Spin-valley filtering in strained graphene structures with artificially induced carrier mass and spin-orbit coupling
• Character of electronic states in graphene antidot lattices: Flat bands and spatial localization
• Observation of Valley Zeeman and Quantum Hall Effects at Q Valley of Few-Layer Transition Metal Disulfides
• Graphene Rings in Magnetic Fields: Aharonov-Bohm Effect and Valley Splitting
• Observation of the quantum valley Hall state in ballistic graphene superlattices
• Topological transport in Dirac nodal-line semimetals
• Valley-based noise-resistant quantum computation using Si quantum dots
• Stability and properties of high-buckled two-dimensional tin and lead
• Longitudinal and spin/valley Hall optical conductivity in single layer $Mo{S}_2$
• Current splitting and valley polarization in elastically deformed graphene
• Spatial distribution of local currents of massless Dirac fermions in quantum transport through graphene nanoribbons
• Observation of an unpaired photonic Dirac point
• Edge currents and nanopore arrays in zigzag and chiral graphene nanoribbons as a route toward high-$ZT$ thermoelectrics
• Edge Effect on Electronic Transport Properties of Graphene Nanoribbons and Presence of Perfectly Conducting Channel
• A controllable valley polarization in Graphene
• First Principles Calculations of Spin-Dependent Conductance of Graphene Flakes
• Spatially Resolving Valley Quantum Interference of a Donor in Silicon
• Carbon nanotube, graphene, nanowire, and molecule-based electron and spin transport phenomena using the non-equilibrium Green function method at the level of first principles theory
• Universal Quantum Computing with Spin and Valley
• AC/DC Spin and Valley Hall Effects in Silicene and Germanene
• Floquet-Engineered Valleytronics in Dirac Systems
• Transmission through a boundary between monolayer and bilayer graphene
• Three-Dimensional Dirac Electrons at the Fermi Energy in Cubic Inverse Perovskites: Ca_3PbO and its Family
• A Two-dimensional Dirac fermion microscope
• Transverse field effect in graphene ribbons
• Electrically tunable polarizer based on two-dimensional orthorhombic ferrovalley materials
• Topological responses from chiral anomaly in multi-Weyl semimetals
• The effect of a velocity barrier on the ballistic transport of Dirac fermions
• Theory and Experimental Investigation of the Quantum Valley Hall Effect
• Impurity Scattering and Mott's Formula in Graphene
• Experimental Realization of a Reconfigurable Electroacoustic Topological Insulator
• Valley engineering by strain in Kekulé-distorted graphene
• Current flow paths in deformed graphene: from quantum transport to classical trajectories in curved space
• Valley Contrasting Magnetoluminescence in Monolayer MoS${}_2$ Quantum Hall Systems
• Perfect Valley Filter in Topological Domain Wall
• Andreev reflection in graphene nanoribbons
• Angle dependence of the orbital magnetoresistance in bismuth
• Electron-hole crossover in gate-controlled bilayer graphene quantum dots
• Electronic transport in normal-conductor/graphene/normal-conductor junctions and conditions for insulating behavior at a finite charge-carrier density
• Spin-dependent Klein tunneling in graphene: Role of Rashba spin-orbit coupling
• Competing Magnetic Orderings and Tunable Topological States in Two-Dimensional Hexagonal Organometallic Lattices
• Single-Valley Engineering in Graphene Superlattices
• Valley-polarized magnetoconductivity and particle-hole symmetry breaking in a periodically modulated $\alpha$-${\mathcal{T}}_3$ lattice
• Electric-field controlled spin in bilayer triangular graphene quantum dots
• Opto-valleytronic imaging of atomically thin semiconductors
• Lattice-corrected strain-induced vector potentials in graphene
• Strain controlled valley filtering in multi-terminal graphene structures
• From laterally modulated two-dimensional electron gas towards artificial graphene
• Interaction Induced Quantum Valley Hall Effect in Graphene
• Large and Controllable Spin-Valley Splitting in Two-Dimensional WS2/h-VN Heterostructure
• Anomalous temperature-dependent spin-valley polarization in monolayer WS${}_2$
• Quantum Blockades and Loop Currents in Graphene with Topological Defects
• Conformal mapping and shot noise in graphene
• Quantum and classical confinement of resonant states in a trilayer graphene Fabry-Perot interferometer
• Chirality-Assisted Electronic Cloaking in Bilayer Graphene Nanostructures
• Spontaneous persistent currents in magnetically ordered graphene ribbons
• Valley Trion Dynamics in Monolayer MoSe${}_2$
• Active Valley-topological Plasmonic Crystal in Metagate-tuned Graphene
• Valley polarization induced second harmonic generation in graphene
• Neutral-current Hall effects in disordered graphene
• Spin- and valley-polarized transport across line defects in monolayer MoS2
• Long valley lifetime of free carriers in monolayer WSe2
• Graphene quantum dots for valley-based quantum computing: A feasibility study
• Disorder-mediated electron valley resonance in carbon nanotube quantum dots
• Resonant valley filtering of massive Dirac electrons
• Valley-Polarized Quantum Transport Generated by Gauge Fields in Graphene
• Valley-polarized quantum anomalous Hall phase and disorder induced valley-filtered chiral edge channels
• Grain Boundaries in Graphene on SiC(000$\bar{1}$) Substrate
• Manipulation and Characterization of the Valley Polarized Topological Kink States in Graphene Based Interferometers
• Electron density and transport in top-gated graphene nanoribbon devices: First-principles Green function algorithms for systems containing large number of atoms
• Manipulating magnetoelectric effect -- Essence learned from Co${}_4$Nb${}_2$O${}_9$
• Spin Polarized and Valley Helical Edge Modes in Graphene Nanoribbons
• Valley filtering using electrostatic potentials in bilayer graphene
• Influence of minivalleys and Berry curvature on electrostatically induced quantum wires in gapped bilayer graphene
• Charge and spin dynamics driven by ultrashort extreme broadband pulses: a theory perspective
• Graphene nanoflakes in external electric and magnetic in-plane fields
• Spin and electronic correlations in gated graphene quantum rings
• Helical scattering and valleytronics in bilayer graphene
• Dielectrics for Two-Dimensional Transition Metal Dichalcogenide Applications
• Valley filtering and electronic optics using polycrystalline graphene
• Current resonances in graphene with time dependent potential barriers
• Electrically Tunable Conductance and Edge Modes in Topological Crystalline Insulator Thin Films: Tight-Binding Model Analysis
• Topological resonance and single-optical-cycle valley polarization in gapped graphene
• Dispersive Landau levels and valley currents in strained graphene nanoribbons
• Resonant Tunneling through double-bended Graphene Nanoribbons
• Origin of nonlocal resistance in multiterminal graphene on hexagonal-boron-nitride: Fermi surface edge currents rather than Fermi sea topological valley currents
• Electron-Phonon Interactions for Optical Phonon Modes in Few-Layer Graphene
• Pseudospin rotation and valley mixing in electron scattering at graphene edges
• Flat band in twisted bilayer Bravais lattices
• Emptying Dirac valleys in bismuth using high magnetic fields
• Quantum Spin-quantum Anomalous Hall Effect with Tunable Edge States in Sb Monolayer-based Heterostructures
• Protected valley states and generation of valley- and spin-polarized current in monolayer MA2Z4
• Spin and Valley Control of Free Carriers in Single-Layer WS${}_2$
• Transport modulation of graphene nanoribbons with side-attached organic molecules
• Local versus extended deformed graphene geometries for valley filtering
• Conductance quantization in graphene nanoribbons: Adiabatic approximation
• Two-Dimensional Valley Electrons and Excitons in Noncentrosymmetric 3R MoS${}_2$
• Probing of valley polarization in graphene via optical second-harmonic generation
• Hyperfine-induced valley mixing and the spin-valley blockade in carbon-based quantum dots
• Valley relaxation of resident electrons and holes in a monolayer semiconductor: Dependence on carrier density and the role of substrate-induced disorder
• Photoninduced Weyl half-metal phase and spin filter effect from topological Dirac semimetals
• Towards Graphene Nanoribbon-based Electronics
• Topological electric current from time-dependent elastic deformations in graphene
• Spin-valley blockade in carbon nanotube double quantum dots
• Valleytronics on the Surface of Topological Crystalline Insulator: Elliptic Dichroism and Valley-Selective Optical Pumping
• Chirality-dependent planar Hall effect in inhomogeneous Weyl semimetals
• Spintronics at Nanoscale: Flat-Band Ferromagnetism in Armchair Nanoribbons and Nanotubes
• Ferromagnetism in armchair graphene nanoribbon
• Spontaneous edge-defect formation and defect-induced conductance suppression in graphene nanoribbons
• Strain-driven valley states and phase transitions in Janus VSiGeN4 monolayer
• Valley subband splitting in bilayer graphene quantum point contact
• Berry phase mediated topological thermoelectric transport in gapped single and bilayer graphene
• Robust Dual Topological Character with Spin-Valley Polarization in a Monolayer of the Dirac Semimetal Na${}_3$Bi
• Quantum Wires and Waveguides Formed in Graphene by Strain
• Graphene under spatially varying external potentials: Landau levels, magnetotransport, and topological modes
• Optical generation and detection of pure valley current in monolayer transition metal dichalcogenides
• Coupling ferroelectricity with spin-valley physics in oxide-based heterostructure
• The valley filter efficiency of monolayer graphene and bilayer graphene line defect model
• Zero-energy states of graphene triangular quantum dots in a magnetic field
• Magnetoresistance and valley degree of freedom in bulk bismuth
• Spin and valley transports in junctions of Dirac fermions
• Graphene-based qubits in quantum communications
• Intrinsic optical conductivity of modified-Dirac fermion systems
• Dirac Fermions in Blue-Phosphorus
• Electrical control of crossed Andreev reflection and spin-valley switch in antiferromagnet/superconductor junctions
• Pseudospin polarized quantum transport in monolayer graphene
• I-V curve signatures of nonequilibrium-driven band gap collapse in magnetically ordered zigzag graphene nanoribbon two-terminal devices
• Valley and spin pump by scattering at non-magnetic disorders
• Uniformity of the pseudomagnetic field in strained graphene
• Interfaces Within Graphene Nanoribbons
• Tracking valley topology with synthetic Weyl paths
• Irradiated bilayer graphene
• Controlling Valley-Polarisation in Graphene via Tailored Light Pulses
• Scattering of Dirac electrons by circular mass barriers: valley filter and resonant scattering
• All-strain based valley filter in graphene nanoribbons using snake states
• Observation of spontaneous valley polarization of itinerant electrons
• Dissipationless Layertronics in Axion Insulator $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Diffraction catastrophes and semiclassical quantum mechanics for Veselago lensing in graphene
• Wigner molecules in carbon-nanotube quantum dots
• Valley polarization assisted spin polarization in two dimensions
• Radiative lifetime of localized excitons in transition metal dichalcogenides
• Magnetoelectric coupling, Berry phase, and Landau level dispersion in a biased bilayer graphene
• Fractional statistics of topological defects in graphene and related structures
• Valley Anisotropy in Elastic Metamaterials
• Electrically tunable valley polarization in Weyl semimetals with tilted energy dispersion
• Electronic Structures of Graphene Layers on Metal Foil: Effect of Point Defects
• Strain-induced valley polarization, topological states, and piezomagnetism in two-dimensional altermagnetic V${}_2$Te${}_2$O, V${}_2$STeO, V${}_2$SSeO, and V${}_2$S${}_2$O
• Modification of electronic structure and thermoelectric properties of hole-doped tungsten dichalcogenides
• A scheme to realize the quantum spin-valley Hall effect in monolayer graphene
• Valley controlled propagation of pseudospin states in bulk metacrystal waveguides
• Optical Valley Hall Effect based on Transitional Metal Dichalcogenide cavity polaritons
• Generalized transfer matrix theory on electronic transport through graphene waveguide
• Coherent Jetting behind a gate-defined Channel in Bilayer Graphene
• Strain-controlled valley and spin separation in silicene heterojunctions
• Spin filter and spin valve in ferromagnetic graphene
• Dirac States in an Inclined Two-Dimensional Su-Schrieffer-Heeger Model
• Controlling the layer localization of gapless states in bilayer graphene with a gate voltage
• Floquet Valley-Polarized Quantum Anomalous Hall State in Nonmagnetic Heterobilayers
• Electron interference in ballistic graphene nanoconstrictions
• Topologically protected interface phonons in two-dimensional nanomaterials: hexagonal boron nitride and silicon carbide
• The Berry phase of dislocations in graphene and valley conserving decoherence
• Perfect valley filter in strained graphene with single barrier region
• Nonlocal transistor based on pure crossed Andreev reflection in a EuO-graphene/superconductor hybrid structure
• Cornertronics in Two-Dimensional Second-Order Topological Insulators
• Growth and Structure of Singly-Oriented Single-Layer Tungsten Disulfide on Au(111)
• All-Optical Ultrafast Valley Switching in Two-Dimensional Materials
• Topologically protected pseudospins in 2D spring-mass system
• Measuring valley polarization in two-dimensional materials with second-harmonic spectroscopy
• Valley polarized transport in strained graphene based Corbino disc
• Interlayer Topological Transport and Devices based on Layer Pseudospins in Photonic Valley-Hall Phases
• Prolonging Valley Polarization Lifetime through Gate-Controlled Exciton-to-Trion Conversion in Monolayer Molybdenum Ditelluride
• Symmetry breaking and (pseudo)spin polarization in Veselago lenses for massless Dirac fermions
• Valley Seebeck effect in gate tunable zigzag graphene nanoribbons
• Valley vortex states and degeneracy lifting via photonic higher-band excitation
• Effective Time Reversal Symmetry Breaking and Energy Spectra of Graphene Armchair Rings
• Enhanced Intervalley Scattering of Twisted Bilayer Graphene by Periodic AB Stacked Atoms
• Edge pseudo-magnetoplasmons
• Enhancement of Exciton Valley Polarization in Monolayer MoS2 Induced by Scattering
• Valley Hall Effect and Non-Local Resistance in Locally Gapped Graphene
• Valley filtering effect of phonons in graphene with a grain boundary
• Guiding Robust Valley-dependent Edge States by Surface Acoustic Waves
• Robust all-electrical topological valley filtering using monolayer 2D-Xenes
• Light-induced valley currents and magnetization in graphene rings
• Thermal engineering in low-dimensional quantum devices: a tutorial review of nonequilibrium Green's function methods
• Quantum dot behavior in transition metal dichalcogenides nanostructures
• A Non-Hermitian Moiré Valley Filter
• Magnetic and electronic phase crossovers in graphene nanoflakes
• Scanning probe microscopy and spectroscopy of graphene on metals
• Interplay between destructive quantum interference and symmetry-breaking phenomena in graphene quantum junctions
• Sensory Organ like Response of Zigzag Edge Graphene Nanoribbons
• Dirac fermion quantization on graphene edges: Isospin-orbit coupling, zero modes and spontaneous valley polarization
• Valley-polarization in biased bilayer graphene using circularly polarized light
• Engineering photonic environments for two-dimensional materials
• Magnetoelectric control of topological phases in graphene
• Tailoring the electronic texture of a topological insulator via its surface orientation
• Interplay of Lorentz-Berry forces in position-momentum spaces for valley-dependent impurity scattering in alpha-T3 lattices
• Nonequilibrium valley polarization in graphene nanoconstrictions
• Valley Degree of Freedom in Two-Dimensional van der Waals Materials
• The parity of specular Andreev reflection under mirror operation in zigzag graphene ribbon
• Pure spin current and perfect valley filter by designed separation of the chiral states in two-dimensional honeycomb lattices
• Uncovering and experimental realization of multimodal 3D topological metamaterials for low-frequency and multiband elastic wave control
• Detection of thermodynamic "valley noise" in monolayer semiconductors: access to intrinsic valley relaxation timescales
• Excited quantum Hall effect: enantiomorphic flat bands in a Yin-Yang Kagome lattice
• Magnetic Anisotropy in Two-dimensional van der Waals Magnetic Materials and Their Heterostructures: Importance, Mechanisms, and Opportunities
• Second harmonic spectroscopy to optically detect valley polarization in 2D materials
• Dispersion Synthesis with Multi-Ordered Metatronic Filters
• Chirality of Valley Excitons in Monolayer Transition-Metal Dichalcogenides
• Valley-selective Floquet Chern Flat Bands in Twisted Multilayer Graphene
• Bilayer graphene under pressure: Electron-hole Symmetry Breaking, Valley Hall Effect, and Landau Levels
• Nonlinear wave dynamics in honeycomb lattices
• Valley currents and non-local resistances of graphene nanostructures with broken inversion symmetry from the perspective of scattering theory
• Chiral orbital current and anomalous magnetic moment in gapped graphene
• Combined minivalley and layer control in twisted double bilayer graphene
• Electronic and Optical properties of transition metal dichalcogenides under symmetric and asymmetric field-effect doping
• Generation of a fully valley-polarized current in bulk graphene
• Transport discovery of emerging robust helical surface states in $Z_2=0$ systems
• Valley polarization effects on the localization in graphene Landau levels
• Enforced symmetry breaking for anomalous valley Hall effect in two-dimensional hexagonal lattices
• The influence of anti-chiral edge states on Andreev reflection in graphene-superconductor junction
• Size Quantization in Planar Graphene-Based Heterostructures: Pseudospin Splitting, Interface States, and Excitons
• Valley-based Cooper Pair Splitting via Topologically Confined Channels in Bilayer Graphene
• Valley polarization of exciton-polaritons in monolayer WSe2 in a tunable microcavity
• Valley contrasting bulk photovoltaic effect in antiferromagnetic MnPSe${}_3$ monolayer
• Electron dynamics in strained graphene
• Enhanced asymmetric valley scattering by scalar fields in non-uniform out-of-plane deformations in graphene
• Spin Manipulation in Graphene by Chemically-Induced Sublattice Pseudospin Polarization
• Tuning electronic structure of graphene via tailoring structure: theoretical study
• GOE statistics in graphene billiards with the shape of classically integrable billiards
• Topological Valley Transport of Gapped Dirac Magnons in Bilayer Ferromagnetic Insulators
• Perfect valley filter controlled by Fermi velocity modulation in graphene
• Perfect valley filter based on topological phase in disordered $\mathrm{Sb}$ Monolayer Heterostructure
• Nonadiabatic Nonlinear Optics and Quantum Geometry -- Application to the Twisted Schwinger Effect
• Enhanced Andreev reflection in gapped graphene
• Broadband Frequency and Spatial On-Demand Tailoring of Topological Wave Propagation Harnessing Piezoelectric Metamaterials
• Valley filter from magneto-tunneling between single and bi-layer graphene
• Conductance Through Graphene Bends and Polygons
• Tunable multiple layered Dirac cones in optical lattices
• Valley-dependent spin-orbit torques in two dimensional hexagonal crystals
• Graphene based superconducting quantum point contacts
• Strain-induced modulation of Dirac cones and van Hove singularities in twisted graphene bilayer
• Local impurity effects in superconducting graphene
• Electrical control of intervalley scattering in graphene via the charge state of defects
• Design rules for modulation-doped AlAs quantum wells
• A valleytronic diamond transistor: electrostatic control of valley-currents and charge state manipulation of NV centers
• Non-Hermitian Dirac cones with valley-dependent lifetimes
• Quantum Hydrodynamics of Vorticity
• Gate-Tunable Graphene Quantum Dot and Dirac Oscillator
• Chern insulators without band inversion in MoS2 monolayers with 3d adatoms
• Transmission spectra and valley processing of graphene and carbon nanotube superlattices with inter-valley coupling
• The Effect of the Disorder on the Longitudinal Resistance of a Graphene p-n Junction in Quantum Hall Regime
• Graphene: Kinks, Superlattices, Landau levels, and Magnetotransport
• Band bending and zero-conductance resonances controlled by edge electric fields in zigzag silicene nanoribbons
• Suppressed conductance in a metallic graphene nano-junction
• Topological transition in spiral elastic valley metamaterials
• Topological Superconductivity in Two Dimensions with Mixed Chirality
• From diffusive to ballistic transport in etched graphene constrictions and nanoribbons
• Photo-induced valley currents in strained graphene
• Electric field-induced valley degeneracy lifting in uniaxial strained graphene: evidence from magnetophonon resonance
• Quantum transport through MoS${}_2$ constrictions defined by photodoping
• Pseudospin Electronics in Phosphorene Nanoribbons
• Electron spin dynamics of two-dimensional layered materials
• Nano-scale strain engineering of graphene and graphene-based devices
• Possible nodeless $s^{\pm }$-wave superconductivity in twisted bilayer graphene
• Tight-binding simulations of electrically driven spin-valley transitions in carbon nanotube quantum dots
• Transport gap engineering by contact geometry in graphene nanoribbons: Experimental and theoretical studies on artificial materials
• Hydrogenated graphene on the silicon dioxide surface
• Cyclotron resonance of the magnetic ratchet effect and second harmonic generation in bilayer graphene
• Tuning transport properties on graphene multi-terminal structures by mechanical deformations
• Stability of Polarized States for Diamond Valleytronics
• Transport properties of armchair graphene nanoribbon junctions between graphene electrodes
• Minimal Geometry for Valley Filtering in Graphene
• Time-resolved Hall conductivity of pulse-driven topological quantum systems
• Magnetic Fabry-Pérot interferometer for valley filtering in a honeycomb-dice model
• Strain-driven chiral phonons in two-dimensional hexagonal materials
• Valley-Polarized quantum Hall phase in a strain-controlled Dirac system
• Evidence of electronic cloaking from chiral electron transport in bilayer graphene nanostructures
• Valley isospin of interface states in a graphene $pn$ junction in the quantum Hall regime
• Characterization and manipulation of intervalley scattering induced by an individual monovacancy in graphene
• Valley polarized current and resonant electronic transport in a non-uniform ${\mathbf{MoS}}_2$ zigzag nanoribbon
• Tunable valley Hall effect in gate-defined graphene superlattices
• Valley current generation using biased bilayer graphene dots
• Proximity induced spin-valley polarization in silicene/germanene on F-doped WS${}_2$
• Competing charge-density-wave, magnetic and topological ground states at and near Dirac points in graphene in axial magnetic fields
• Fast and slow edges in bilayer graphene nanoribbons: Tuning the transition from band- to Mott-insulator
• Valley polarization in graphene-silicene-graphene heterojunction
• Quantum transport across van der Waals domain walls in bilayer graphene
• Crossed Andreev reflection versus electron transfer in graphene nanoribbons
• Probing valley filtering effect by Andreev reflection in zigzag graphene nanoribbon
• Mesoscopic valley filter in graphene Corbino disk containing a p-n junction
• Interplay between the edge-state magnetism and long-range Coulomb interaction in zigzag graphene nanoribbons: quantum Monte Carlo study
• Reverse strain-induced snake states in graphene nanoribbons
• Relativistic ferromagnetic magnon at the zigzag edge of graphene
• Chiral response in lattice models of Weyl materials
• Topological valley currents via ballistic edge modes in graphene superlattices near the primary Dirac point
• Controllable phase transitions between multiple charge density waves in monolayer 1T-VSe${}_2$ via doping and strain engineering
• Room-temperature quantum transport signatures in graphene/LaAlO3/SrTiO3 heterostructures
• Electric field control of the indirect magnetic coupling through a short graphene nanoribbon
• Parallel Magnetic Field Tuning of Valley Splitting in AlAs Two-Dimensional Electrons
• Inverse Design of a Graphene-Based Quantum Transducer via Neuroevolution
• Realization of a Valley Superlattice
• Photogalvanic Effect in 2D Dichalcogenides Under Double Illumination
• Valley and spin polarization from graphene line defect scattering
• Superconducting states and Majorana modes in transition-metal dichalcogenides under inhomogeneous strain
• Unified Semi-Classical Description of Intrinsic Spin-Hall Effect in Spintronic, Optical, and Graphene Systems
• Magnetic field induced strong valley polarization in the three dimensional topological semimetal LaBi
• Gap states and valley-spin filtering in transition metal dichalcogenide monolayers
• Ground-state magnetic phase diagram of bow-tie graphene nanoflakes in external magnetic field
• Triggering superconductivity, semiconducting states, and ternary valley structure in graphene via functionalization with Si-N layers
• Edge states versus diffusion in disordered graphene flakes
• Edge state transport through disordered graphene nanoribbons in the quantum Hall regime
• Kekulé Induced Valley Birefringence and Skew Scattering in Graphene
• Twisted bilayer BC${}_3$: Valley interlocked anisotropic flat bands
• Switchable valley filter based on a graphene $p$-$n$ junction in a magnetic field
• Substrate-induced topological minibands in graphene
• Valley relaxation in graphene due to charged impurities
• Husimi Maps in Lattices
• Valley-polarised tunnelling currents in bilayer graphene tunnelling transistors
• Valley-selective Klein tunneling through superlattice barrier in graphene
• Quantum Transport of Dirac fermions in graphene with a spatially varying Rashba spin-orbit coupling
• Imaging Electron Motion in Graphene
• Observation of Terahertz Spin Hall Conductivity Spectrum in GaAs with Optical Spin Injection
• Photoinduced valley-polarized current of layered MoS2 by electric tuning
• Valley-polarized domain wall magnons in 2D ferromagnetic bilayers
• Signature of spin-resolved quantum point contact in p-type trilayer WSe${}_2$ van der Waals heterostructure
• Aspects of electron transport in zigzag graphene nanoribbons
• Mass-profile quantum dots in graphene
• Chiral anomaly and anomalous finite-size conductivity in graphene
• Valley filtering by a line-defect in graphene: quantum interference and inversion of the filter effect
• Decomposition into Propagating and Evanescent Modes of Graphene Ribbons
• First-principles study on the electronic and transport properties of periodically nitrogen-doped graphene and carbon nanotube superlattices
• Coherent transport of armchair graphene constrictions
• Spin, orbital and topological order in models of strongly correlated electrons
• Effects of long-range disorder and electronic interactions on the optical properties of graphene quantum dots
• Relaying Topological Interface States for Negative Refraction of Bulk Waves
• The role of spin-orbit coupling in topologically protected interface states in Dirac materials
• Influence of interface-induced valley-Zeeman and spin-orbit couplings\\ on transport in graphene-on-WSe${}_2$ heterostructures
• Valleytronic full configuration-interaction approach: An application to the excitation spectra of Si double-dot qubits
• Berry curvature mediated valley Hall and charge Hall effects in graphene via strain engineering
• Magnetoelectric effect in bilayer graphene controlled by valley-isospin density
• Valley properties of doped graphene in a magnetic field
• Conductance response of graphene nanoribbons and quantum point contacts in the scanning probe measurements
• Mapping borophene onto graphene: Quasi-exact solutions for guiding potentials in tilted Dirac cones
• Scattering of topological kink-antikink states in bilayer graphene structures
• Electrical valley filtering in transition metal dichalcogenides
• Orbital-dependent quasiparticle scattering interference in 3R-NbS2
• Anisotropic optics and gravitational lensing of tilted Weyl fermions
• Theory of valley-dependent transport in graphene-based lateral quantum structures
• Complex Landau levels and related transport properties in the strained zigzag graphene nanoribbons
• A ballistic electron source with magnetically-controlled valley polarization in bilayer graphene
• Buckled honeycomb lattice and unconventional magnetic response
• In-plane Chiral Tunneling and Out-of-plane Valley-polarized Quantum Tunneling in Twisted Graphene Trilayer
• Giant tunneling magnetoresistance based on spin-valley-mismatched ferromagnetic metals
• Realization of valley-spin polarized current via parametric pump in monolayer $\mathrm{Mo}{\mathrm{S}}_2$
• Valley-controlled transport in graphene/ WSe${}_2$ heterostructures under an off-resonant polarized light
• Enhanced valley polarization of graphene on hBN under circularly polarized light irradiation
• Topological phase transition in disordered elastic quantum spin Hall system
• Spin and valley manipulation in single and double electrostatic silicene quantum dots
• Growth, charge and thermal transport of flowered graphene
• Interaction between interface and massive states in multivalley topological heterostructures
• Gate-tunable valley currents, non-local resistances and valley accumulation in bilayer graphene nanostructures
• Valley splitter and transverse valley focusing in twisted bilayer graphene
• Current flow in biased bilayer graphene: the role of sublattices
• First-principles study on the electrical resistivity in zirconium dichalcogenides with multi-valley bands: mode-resolved analysis of electron-phonon scattering
• Topological Spin and Valley Pumping in Silicene
• Pseudo chiral anomaly in zigzag graphene ribbons
• Controllable intrinsic DC spin/valley Hall conductivity in ferromagnetic silicene: Exploring a fully spin/valley polarized transport
• Effectuating tunable valley selection via multi-terminal monolayer graphene devices
• Trigonal warping induced terraced spin texture and nearly perfect spin polarization in graphene with Rashba effect
• Boundary-induced violation of the Dirac fermion parity and its signatures in local and global tunneling spectra of graphene
• Quantum state transfer between valley and photon qubits
• Ultrafast valley polarization in bilayer graphene
• Observation of Topological Structures in Photonic Quantum Walks
• Gap opening in the zeroth Landau level in gapped graphene: Pseudo-Zeeman splitting in an angular magnetic field
• Spin-orbit coupling, edge states and quantum spin Hall criticality due to Dirac fermion confinement: The case study of graphene
• All-optical control of topological valley transport in graphene metasurfaces
• The role of impurities on the optical properties of rectangular graphene flakes
• Control of Spin Diffusion and Suppression of the Hanle Effect by the Coexistence of Spin and Valley Hall Effects
• Generating extreme quantum scattering in graphene with machine learning
• Topologically protected wave packets and quantum rings in silicene
• Momentum alignment and the optical valley Hall effect in low-dimensional Dirac materials
• Valley and Valley-like Split-ring Topological Photonic Crystal
• Charge-pseudospin coupled diffusion in semi-Dirac graphene: pseudospin assisted valley transport
• Electric field controlled valley-polarized photocurrent switch based on the circular bulk photovoltaic effect
• Enhancement of Rashba spin-orbit coupling by electron-electron interaction
• Band alignment effect in the topological photonic alloy
• Formation mechanism of bound states in graphene point contacts
• Edge state in AB-stacked bilayer graphene and its correspondence with SSH ladder
• Emergence of Rashba spin valley state in two-dimensional strained bismuth oxychalcogenides Bi${}_2$O${}_2$Se
• Valley-resolved Fano resonance in monolayer transition metal dichalcogenides nanoribbons with attached stubs
• Ferromagnetism without flat bands in thin armchair nanoribbons
• Weyl Semimetal Path to Valley Filtering in Graphene
• Switching modulation of spin transport in ferromagnetic tetragonal silicene
• Persistent Friedel oscillations in Graphene due to a weak magnetic field
• Valley-dependent gauge fields for ultracold atoms in square optical superlattices
• Fractional quantum Hall valley ferromagnetism in the extreme quantum limit
• Valley polarization and valleyresistance in monolayer transition metal dichalcogenides superlattice
• Optical absorption in interacting and nonlinear Weyl semimetals
• Tunable spin-orbit splitting in bilayer graphene/WSe${}_2$ quantum devices
• Electron Currents from Gradual Heating in Tilted Dirac Cone Materials
• Absence of edge states at armchair edges in inhomogeneously strained graphene under a pseudomagnetic field
• Phonon-limited valley life times in single-particle bilayer graphene quantum dots
• Confined states in graphene quantum blisters
• Critical temperature of two-dimensional hydrogenated multilayer graphene-based diluted ferromagnet
• Anomalous Valley Magnetic Moment of Graphene
• Switching valley filtered current directions in multi-terminal graphene systems
• Unconventional pairing in Ising superconductors: Application to monolayer NbSe${}_2$
• Tunable chiral anomalies and coherent transport on a honeycomb lattice
• Conservation of chirality at a junction between two Weyl semimetals
• Electrochemical transport in Dirac nodal-line semimetals
• Valley filters, accumulators, and switches induced in graphene quantum dots by lines of adsorbed hydrogen atoms
• Valley-dependent electronic properties in two-dimensional altermagnetic iron-based transition metal chalcogenides
• Trigonal warping, pseudodiffusive transport, and finite-system version of the Lifshitz transition in magnetoconductance of bilayer-graphene Corbino disks
• Chiral filtering in graphene with coupled valleys
• Demonstration of electron focusing using electronic lenses in low-dimensional system
• Switchable valley functionalities of an $n-n^{-}-n$ junction in 2D semiconductors
• Valley separation via trigonal warping
• Zener tunneling isospin Hall effect in HgTe quantum wells and graphene multilayers
• Edge States and Quantum Hall Effect in Graphene under a Modulated Magnetic Field
• Ballistic charge transport in chiral-symmetric few-layer graphene
• Coexistence of Rashba Effect and Spin-valley Coupling in TiX2 (X= Te, S and Se) based Heterostructures
• Anomalous giant piezoresistance in AlAs 2D electrons with anti-dot lattices
• Universal Spin Dynamics in Quantum Wires
• Valley-dependent giant orbital moments and transport feature in rhombohedral graphene multilayers
• Klein tunneling degradation and enhanced Fabry-Pérot interference in graphene/h-BN moiré-superlattice devices
• Graphene valley polarization as a function of carrier-envelope phase in few-cycle laser pulses and its footprints in harmonic signals
• Deep-learning design of graphene metasurfaces for quantum control and Dirac electron holography
• New supercurrent pattern in quantum point contact with strained graphene nanoribbon
• Creation and control of valley currents in graphene by few cycle light pulses
• Intrinsic Spin-Orbit Interaction in Graphene
• Excitons in epitaxially grown WS2 on Graphene: a nanometer-resolved EELS and DFT study
• Origins of Valley Current Reversal in Partially Overlapped Graphene Layers
• RF Transport Electromagnetic Properties of CVD Graphene from DC to 110 MHz
• Induced fractional valley number in graphene with topological defects
• Control of valley optical conductivity and topological phases in buckled hexagonal lattice by orientation of in-plane magnetic field
• Quantum Nonlinear Acoustic Hall Effect and Inverse Acoustic Faraday Effect in Dirac Insulators
• Theory of Nonlocal Transport from Nonlinear Valley Responses
• Theory of field-modulated spin-valley-orbital pseudospin physics
• Magnetoconductance of the Corbino disk in graphene: Chiral tunneling and quantum interference in the bilayer case
• Gapless states and current control in strongly distorted gated trilayer graphene
• Momentum selective optical absorption in triptycene molecular membrane
• A Quantized Interband Topological Index in Two-Dimensional Systems
• Valley-dependent transport in strain engineering graphene heterojunctions
• Metallic behaviour in SOI quantum wells with strong intervalley scattering
• All-electrical valley filtering in graphene systems (I): A path to integrated electro-valleytronics
• Valley Pumping via Edge States and the Nonlocal Valley Hall Effect in Two-Dimensional Semiconductors
• Valley focusing effect in a rippled graphene superlattice
• Valley to charge current conversion in graphene grain boundaries
• On valley asymmetry in a topological interaction for quasi-particles
• Spin and valley waves in Dirac semimetals with population imbalance
• High-purity valley-polarized currents induced by bichromatic optical fields in two-dimensional materials
• Aharonov-Bohm-Coulomb Problem in Graphene Ring
• Complete Spin and Valley Polarization by Total External Reflection from Potential Barriers in Bilayer Graphene and Monolayer Transition Metal Dichalcogenides
• Emergence of half-metallic ferromagnetism and valley polarization in transition metal substituted WSTe monolayer
• Energy symmetry and interlayer wave function ratio of tunneling electrons in partially overlapped graphene
• Valley Gapless Semiconductor: Models and Applications
• Conditions for Conductance Quantization in Mesoscopic Dirac Systems on the Examples of Graphene Nanoconstrictions
• Low-energy trions in graphene quantum dots
• Strong equilibration of Landau levels edge-states at the graphene edge
• Tunnel Valley Current Filter in the Partially Overlapped Graphene under the Vertical Electric Field
• Edge dependece of nonlocal transport in gapped bilayer graphene
• Zigzag edge states in graphene in the presence of in-plane electric field
• Characterization of the size and position of electron-hole puddles at a graphene p-n junction
• Graphene in the Quantum Hall Regime: Effects of Vacancies, Sublattice Polarization and Disorder
• Bound state properties of ABC-stacked trilayer graphene quantum dots
• Chiral Anomaly Trapped in Weyl Metals: Nonequilibrium Valley Polarization at Zero Magnetic Field
• Local Optical Conductivity of Bilayer Graphene with Kink Potential
• Valley polarization dynamics of photoinjected carriers at the band edge in room-temperature silicon studied by terahertz polarimetry
• Quantum transport of Dirac fermions in selected graphene nanosystems away from the charge-neutrality point
• Nagaoka spin-valley ordering in silicene quantum dots
• Accessing nanotube bands via crossed electric and magnetic fields
• Persistent current and orbital magnetization along a valley-contrasting junction in bilayer graphene in a magnetic field
• Valley pseudospin relaxation of charged excitons in monolayer MoTe${}_2$
• Quantized valley Hall response from local bulk density variations
• Single-electron emission from degenerate quantum levels
• Strain- and potential-controlled tunneling in monolayer MoS${}_2$
• Husimi Maps in Graphene
• Geometric Effects on Tunneling in Driven Quantum Systems
• Intrinsic nonlinear valley Nernst effect
• Experimental valley qubit state tomography and coherence induced uncertainty relations in monolayer WSe${}_2$
• Floquet-Engineered Valley-Topotronics in Kekulé-Y Bond Textured Graphene Superlattice
• Detuning dependence of high-order harmonic generation in monolayer transition metal dichalcogenides
• All-electrical valley filtering in graphene systems (II): Numerical study of electron transport in valley valves
• Interplay between Aharonov-Bohm interference and parity selective tunneling in zigzag graphene nanoribbon rings
• First-principles study of 3d transition metal atom adsorption onto graphene: the role of the extended line defect
• Observation of Dyakonov-Perel-type magnon spin relaxation in uniaxial antiferromagnetic insulators
• Interlayer Conductance in the Armchair Nanotube -- Zigzag Graphene Ribbon Parallel Contact: Theoretical Proposal of Detection of Wavefunction Growing from the Edge to the Center in the Graphene Ribbon