Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene

Abstract

We discuss the effect of certain types of static disorder, like that induced by curvature or topological defects, on the quantum correction to the conductivity in graphene. We find that when the intervalley scattering time is long or comparable to ${\tau }_{\varphi }$, these defects can induce an effective time reversal symmetry breaking of the hamiltonian associated to each one of the two valleys in graphene. The phenomenon suppresses the magnitude of the quantum correction to the conductivity and may result in the complete absence of a low field magnetoresistance, as recently found experimentally. Our work shows that a quantitative description of weak localization in graphene must include the analysis of new regimes, not present in conventional two dimensional electron gases.

References in corpus (11)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Electronic Properties of Disordered Two-Dimensional Carbon
• Strong suppression of weak (anti)localization in graphene
• The Electronic Spectrum of Fullerenes from the Dirac Equation
• Electron-electron interactions in graphene sheets
• Reentrant Metallic Behavior of Graphite in the Quantum Limit
• Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes
• Topological Phases in Graphitic Cones

Cited by in corpus (229)

• The electronic properties of graphene
• Berry Phase Effects on Electronic Properties
• Electronic transport in two dimensional graphene
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Valley filter and valley valve in graphene
• Andreev reflection and Klein tunneling in graphene
• Bipolar supercurrent in graphene
• Valley Dependent Optoelectronics from Inversion Symmetry Breaking
• The electronic properties of bilayer graphene
• Colloquium: The transport properties of graphene: An introduction
• Gauge fields in graphene
• Quantum transport of massless Dirac fermions in graphene
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Weak localisation in graphene flakes
• Spin transport in proximity induced ferromagnetic graphene
• Electron transport in disordered graphene
• Strong interface-induced spin-orbit coupling in graphene on WS2
• Band Structure of ABC-Stacked Graphene Trilayers
• Edge states in Graphene: from gapped flat band to gapless chiral modes
• Tunable Kondo Effect in Graphene with Defects
• Novel effects of strains in graphene and other two dimensional materials
• Effect of Disorder on Transport in Graphene
• Imaging mechanical vibrations in suspended graphene sheets
• Weak antilocalization in epitaxial graphene: evidence for chiral electrons
• Midgap states and charge inhomogeneities in corrugated graphene
• Charge Transport in Disordered Graphene-Based Low Dimensional Materials
• Generic Miniband Structure of Graphene on a Hexagonal Substrate
• Graphene as an electronic membrane
• Symmetry-based approach to electron-phonon interactions in graphene
• Aharonov-Bohm effect in graphene
• Topological delocalization of two-dimensional massless Dirac fermions
• Gauge field induced by ripples in graphene
• Elastic scattering theory and transport in graphene
• Colloquium: Graphene spectroscopy
• Electron interaction-driven insulating ground state in Bi2Se3 topological insulators in the two dimensional limit
• Shot Noise in Ballistic Graphene
• Charge inhomogeneities due to smooth ripples in graphene sheets
• Tuning the electronic structure of graphene by ion irradiation
• Transport Length Scales in Disordered Graphene-based Materials: Strong Localization Regimes and Dimensionality Effects
• Electron-Phonon Coupling and Raman Spectroscopy in Graphene
• Random strain fluctuations as dominant disorder source for high-quality on-substrate graphene devices
• Masses in graphene-like two-dimensional electronic systems: topological defects in order parameters and their fractional exchange statistics
• Localization and Kosterlitz-Thouless Transition in Disordered Graphene
• Symmetry Classes in Graphene Quantum Dots: Universal Spectral Statistics, Weak Localization, and Conductance Fluctuations
• Quantum criticality and minimal conductivity in graphene with long-range disorder
• Influence of trigonal warping on interference effects in bilayer graphene
• Voltage and temperature dependencies of conductivity in gated graphene
• Anomalously large conductance fluctuations in weakly disordered graphene
• Magneto-transport in Disordered Graphene: from Weak Localization to Strong Localization
• Disorder and Electronic Transport in Graphene
• Controllable spin transport in ferromagnetic graphene junctions
• Graphene: Piecing it together
• Graphene via large N I: Renormalization
• Inelastic scattering in a monolayer graphene sheet; a weak-localization study
• Electronic properties of curved graphene sheets
• Aharonov-Bohm interferences from local deformations in graphene
• z/-z Symmetry of spin-orbit coupling and weak localization in graphene
• Midgap states in corrugated graphene: Ab-initio calculations and effective field theory
• Carbon nanoelectronics: unzipping tubes into graphene ribbons
• Theory of valley-orbit coupling in a Si/SiGe quantum dot
• Understanding electron behavior in strained graphene as a reciprocal space distortion
• Two-dimensional Graphene with Structural Defects: Elastic Mean Free Path, Minimum Conductivity and Anderson Transition
• Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene
• Transport and localization in periodic and disordered graphene superlattices
• Formation of atomic nanoclusters on graphene sheets
• Graphene Rings in Magnetic Fields: Aharonov-Bohm Effect and Valley Splitting
• Landau level spectra and the quantum Hall effect of multilayer graphene
• Massive Dirac fermions in single-layer graphene
• Magneto-conductance Oscillations in Graphene Antidot Arrays
• Quantum Transport in Chemically-modified Two-Dimensional Graphene: From Minimal Conductivity to Anderson Localization
• Electron fractionalization for two-dimensional Dirac fermions
• Coulomb interaction in graphene: Relaxation rates and transport
• Order from Disorder in Graphene Quantum Hall Ferromagnet
• Phonon mediated tunneling into graphene
• Anderson localization of electron states in graphene in different types of disorder
• Gauge fields, ripples and wrinkles in graphene layers
• Ballistic transport in disordered graphene
• Quantum Coherent Transport in SnTe Topological Crystalline Insulator Thin Films
• Electronic transport in normal-conductor/graphene/normal-conductor junctions and conditions for insulating behavior at a finite charge-carrier density
• Valley-isospin dependence of the quantum Hall effect in a graphene p-n junction
• Long-lived valley states in bilayer graphene quantum dots
• Mesoscopic conductance fluctuations in graphene samples
• Magnetoresistance in Disordered Graphene: The Role of Pseudospin and Dimensionality Effects Unraveled
• Fractional Quantum Hall Effect in Graphene: Quantitative Comparison between Theory and Experiment
• Synthetic electric fields and phonon damping in carbon nanotubes and graphene
• Single-Valley Engineering in Graphene Superlattices
• Zero-energy states in corrugated bilayer graphene
• Conductivity of suspended graphene at the Dirac point
• The interplay between real and pseudo magnetic field in graphene with strain
• Roughness of undoped graphene and its short-range induced gauge field
• Designing multi-directional energy-splitters and topological valley supernetworks
• Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field
• Resonant valley filtering of massive Dirac electrons
• Graphene quantum dots for valley-based quantum computing: A feasibility study
• Valley-Polarized Quantum Transport Generated by Gauge Fields in Graphene
• Energy Flows in Graphene: Hot Carrier Dynamics and Cooling
• Interaction-driven topological insulator states in strained graphene
• Spin-controlled superconductivity and tunable triplet correlations in graphene nanostructures
• Interplay of the Aharonov-Bohm effect and Klein tunneling in graphene
• Universal scaling of current fluctuations in disordered graphene
• Pseudo-diffusive magnetotransport in graphene
• Models of electron transport in single layer graphene
• Disorder by order in graphene
• Evanescent wave transport and shot noise in graphene: ballistic regime and effect of disorder
• Conductivity of disordered graphene at half filling
• Determining spin-orbit coupling in graphene by quasiparticle interference imaging
• Transport regimes in surface disordered graphene sheets
• Robust weak antilocalization due to spin-orbital entanglement in Dirac material Sr${}_3$SnO
• Emerging Dirac and Majorana fermions for carbon nanotubes with proximity-induced pairing and spiral magnetic field
• A correlated Anderson insulator on the honeycomb lattice
• Spontaneous polarization of composite fermions in the $n=1$ Landau level of graphene
• Berry phase mediated topological thermoelectric transport in gapped single and bilayer graphene
• Valley Hall phases in Kagome lattices
• Weak (anti-)localization in doped Z_2-topological insulator
• Zero-bias anomaly in the tunneling density of states of graphene
• Spin and valley transports in junctions of Dirac fermions
• Graphene-based qubits in quantum communications
• Symmetries and the conductance of graphene nanoribbons with long-range disorder
• Gauge fields and curvature in graphene
• Spin-valley relaxation and quantum transport regimes in two-dimensional transition metal dichalcogenides
• Topological Signatures in the Electronic Structure of Graphene Spirals
• Effective Dirac Hamiltonian for anisotropic honeycomb lattices: optical properties
• Spin memory and spin-lattice relaxation in two-dimensional hexagonal crystals
• Graphene properties from curved space Dirac equation
• Kaluza-Klein description of geometric phases in graphene
• Ballistic transport spectroscopy of spin-orbit-coupled bands in monolayer graphene on WSe${}_2$
• Emergent gauge fields from curvature in single layers of transition-metal dichalcogenides
• The focusing of electron flow in a bipolar Graphene ribbon with different chiralities
• Generalized transfer matrix theory on electronic transport through graphene waveguide
• Dirac Fermion kinetics in three-dimensionally curved graphene
• Density of states in a two-dimensional chiral metal with vacancies
• Heat transport by Dirac fermions in normal/superconducting graphene junctions
• Measurement of Filling-Factor-Dependent Magnetophonon Resonances in Graphene Using Raman Spectroscopy
• The Berry phase of dislocations in graphene and valley conserving decoherence
• Recovery of massless Dirac fermions at charge neutrality in strongly interacting twisted bilayer graphene with disorder
• Spin orbit in curved graphene ribbons
• Phase Coherent Transport in Graphene Nanoribbons and Graphene Nanoribbon Arrays
• Effective Time Reversal Symmetry Breaking and Energy Spectra of Graphene Armchair Rings
• Negative-curvature spacetime solutions for graphene
• Quantum Hall response to time-dependent strain gradients in graphene
• Localization of charge carriers in monolayer graphene gradually disordered by ion irradiation
• Hybrid topological guiding mechanisms for photonic crystal fibers
• Symmetry breaking effects on spin and electronic transport in graphene
• Enhanced Intervalley Scattering of Twisted Bilayer Graphene by Periodic AB Stacked Atoms
• A cosmological model for corrugated graphene sheets
• Electric transport through circular graphene quantum dots: Presence of disorder
• Nonequilibrium valley polarization in graphene nanoconstrictions
• Correlations in the elastic Landau level of spontaneously buckled graphene
• Josephson effect in Graphene SNS Junction with a Single Localized Defect
• Spontaneous Valley Spirals in Magnetically Encapsulated Twisted Bilayer Graphene
• Effect of disorder on the ground-state properties of graphene
• Periodically modulated geometric and electronic structure of graphene on Ru(0001)
• Minimal conductivity of rippled graphene with topological disorder
• Long-range-correlated disorder in graphene
• Spectral butterfly, mixed Dirac-Schrödinger fermion behavior and topological states in armchair uniaxial strained graphene
• Disorder-driven splitting of the conductance peak at the Dirac point in graphene
• Magnetic scattering of Dirac fermions in topological insulators and graphene
• Graphene, Dirac equation and analogue gravity
• Quasiparticle scattering off phase boundaries in epitaxial graphene
• Transmission spectra and valley processing of graphene and carbon nanotube superlattices with inter-valley coupling
• Tunable metal-insulator transitions in bilayer graphene by thermal annealing
• Proximity-Induced Spin-Orbit Coupling in Graphene-Bi${}_{1.5}$Sb${}_{0.5}$Te${}_{1.7}$Se${}_{1.3}$ Heterostructures
• Efficient Linear Scaling Approach for Computing the Kubo Hall Conductivity
• PT phase transition in a (2+1)-d relativistic system
• Theory of Weak Localization in Ferromagnetic (Ga,Mn)As
• Gate tunable quantum transport in double layer graphene
• Localization physics in graphene Moire superlattices
• Hot electron transport in suspended multilayer graphene
• Fluctuation Phenomena in Chaotic Dirac Quantum Dots: Artificial Atoms on Graphene Flakes
• Electron Delocalization in Gate-Tunable Gapless Silicene
• Weak localization of Dirac fermions in graphene beyond the diffusion regime
• Characterization and manipulation of intervalley scattering induced by an individual monovacancy in graphene
• Quantum Hall plateau transition in the lowest Landau level of disordered graphene
• Tuning of quantum interference in top-gated graphene on SiC
• Global phase diagram of two-dimensional Dirac fermions in random potentials
• Valley polarization in graphene-silicene-graphene heterojunction
• Modulation of Kekulé adatom ordering due to strain in graphene
• Tunneling Conductance of The Graphene SNS Junction with a Single Localized Defect
• Anti-localization of graphene under substrate electric field
• Unification of valley and anomalous Hall effects in a strained lattice
• Dirac fermions in a power-law-correlated random vector potential
• Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
• Edge state transport through disordered graphene nanoribbons in the quantum Hall regime
• Sound waves induce Volkov-like states, band structure and collimation effect in graphene
• Topological phase-diagram of time-periodically rippled zigzag graphene nanoribbons
• Chiral anomaly and anomalous finite-size conductivity in graphene
• First-principles study on the electronic and transport properties of periodically nitrogen-doped graphene and carbon nanotube superlattices
• Photonics in Flatland: Challenges and Opportunities for Nanophotonics with 2D Semiconductors
• Curvature-induced pseudogauge fields from time-dependent geometries in graphene
• Optical valley separation in two-dimensional semimetals with tilted Dirac cones
• Vacuum polarization in graphene with a topological defect
• Weak localisation in bilayer graphene
• Quasienergy spectra of a charged particle in planar honeycomb lattices
• Non-diffusion theory of weak localization in graphene
• Magnetic Phases in Periodically Rippled Graphene
• Relationship between conductance fluctuation and weak localization in graphene
• Majorana zero modes in graphene with trigonal warping
• Quantum Interference Noise Near the Dirac Point in Graphene
• Mechanisms governing phonon scattering by topological defects in graphene nanoribbons
• Disordered graphene Josephson junctions
• Damping of Landau levels in neutral graphene at low magnetic fields: A phonon Raman scattering study
• Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis
• Tunable moire spinons in magnetically encapsulated twisted van der Waals quantum spin-liquids
• Anomalous Valley Magnetic Moment of Graphene
• Valley-dependent gauge fields for ultracold atoms in square optical superlattices
• Multifractal wave functions of charge carriers in graphene with folded deformations, ripples or uniaxial flexural modes: analogies to the quantum Hall effect under random pseudomagnetic fields
• Temperature dependence of universal conductance fluctuation due to development of weak localization in graphene
• Quantum interference effects in chemical vapor deposited graphene
• Chiral filtering in graphene with coupled valleys
• Radiative decay effects influence the local electromagnetic response of the monolayer graphene with surface corrugations in terahertz range
• Massive and massless two-dimensional Dirac particles in electric quantum dots
• Broad frequency and amplitude control of vibration in freestanding graphene via scanning tunneling microscopy with calculated dynamic pseudo-magnetic fields
• Anomalous quantum interference effects in graphene SNS junctions due to strain-induced gauge fields
• Theory of ballistic quantum transport in presence of localized defects
• Quantum Hall Effect at 0.002T
• Graphene valley polarization as a function of carrier-envelope phase in few-cycle laser pulses and its footprints in harmonic signals
• Contact conductance between graphene and quantum wires
• Graphene as a quantum surface with curvature-strain preserving dynamics
• Strong localization in a suspended monolayer graphene by intervalley scattering
• Valley Gapless Semiconductor: Models and Applications
• Effective tunnel conductance and effective ac conductivity of randomly strained graphene
• Vibration Induced Non-adiabatic Geometric Phase and Energy Uncertainty of Fermions in Graphene
• Topological delocalization and tuning of surface channel separation in Bi2Se2Te Topological Insulator Thin films
• Disclinations, dislocations, and emanant flux at Dirac criticality
• Random Magnetic Field and the Dirac Fermi Surface
• Nonequilibrium effective vector potential due to pseudospin exchange in graphene
• New Losses Mechanism in Graphene Nanoresonators due to the Synthetic Electric Fields caused by Inherent Out-of-Plain Membrane Corrugations
• Weak localization and universal conductance fluctuations in large area twisted bilayer graphene