Quantum Spin Hall Effect in Silicene

Abstract

Recent years have witnessed great interest in the quantum spin Hall effect (QSHE) which is a new quantum state of matter with nontrivial topological property due to the scientific importance as a novel quantum state and the technological applications in spintronics. Taking account of Si, Ge significant importance as semiconductor material and intense interest in the realization of QSHE for spintronics, here we investigate the spin-orbit opened energy gap and the band topology in recently synthesized silicene using first-principles calculations. We demonstrate that silicene with topologically nontrivial electronic structures can realize QSHE by exploiting adiabatic continuity and direct calculation of the Z2 topological invariant. We predict that QSHE in silicene can be observed in an experimentally accessible low temperature regime with the spin-orbit band gap of 1.55 meV, much higher than that of graphene due to large spin-orbit coupling and the low-buckled structure. Furthermore, we find that the gap will increase to 2.90 meV under certain pressure strain. Finally, we also study germanium with similar low buckled stable structure, and predict that SOC opens a band gap of 23.9 meV, much higher than the liquid nitrogen temperature.

4 pages, 4 figures

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Cited by in corpus (509)

• New directions in the pursuit of Majorana fermions in solid state systems
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Germanene: a novel two-dimensional Germanium allotrope akin to Graphene and Silicene
• Graphene Spintronics
• Colloquium: Topological Band Theory
• Low-energy effective Hamiltonian involving spin-orbit coupling in Silicene and Two-Dimensional Germanium and Tin
• Large-gap quantum spin Hall insulators in tin films
• Evidence of silicene in honeycomb structures of silicon on Ag(111)
• Electrically Tunable Band Gap in Silicene
• Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene
• Bismuthene on a SiC Substrate: A Candidate for a New High-Temperature Quantum Spin Hall Paradigm
• Dirac materials
• Arsenene: Two-dimensional buckled and puckered honeycomb arsenic systems
• Evidence for Dirac Fermions in a honeycomb lattice based on silicon
• Dirac Semimetals in Two Dimensions
• Topological Insulator and Helical Zero Mode in Silicene under Inhomogeneous Electric Field
• Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
• Strain engineering in semiconducting two-dimensional crystals
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Electric Field Induced Topological Phase Transition in Two-Dimensional Few-layer Black Phosphorus
• Structure-driven intercalated architecture of septuple-atomic-layer $M{A}_2{Z}_4$ family with diverse properties from semiconductor to topological insulator to Ising superconductor
• Gated Silicene as a tunable source of nearly 100% spin-polarized electrons
• The Rare Two-Dimensional Materials with Dirac Cones
• Electronic, optical, and thermodynamic properties of borophene from first-principle calculations
• Monolayer Topological Insulators: Silicene, Germanene and Stanene
• Valley-Polarized Quantum Anomalous-Hall Effects in Silicene
• Novel effects of strains in graphene and other two dimensional materials
• Spin-Valleytronics in Silicene: Quantum-Spin-Quantum-Anomalous Hall Insulators and Single-Valley Semimetals
• Prediction of Near-Room-Temperature Quantum Anomalous Hall Effect on Honeycomb Materials
• Large-Gap Two-Dimensional Topological Insulator in Oxygen Functionalized MXene
• Organic Topological Insulators in Organometallic Lattices
• Electrically Tunable Quasi-Flat Bands, Conductance and Field Effect Transistor in Phosphorene
• Artificial gauge fields in materials and engineered systems
• Giant magnetoresistance and perfect spin filter in silicene, germanene, and stanene
• Functionalized Germanene as a Prototype of Large-Gap Two-Dimensional Topological Insulators
• Unexpected phonon-transport properties of stanene among 2D group-IV materials from \textit{ab initio}
• Valley-Spin Polarization in the Magneto-Optical Response of Silicene and Other Similar 2D Crystals
• Spontaneous Symmetry Breaking and Dynamic Phase Transition in Monolayer Silicene
• Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface
• Chemical Principles of Topological Semimetals
• Adsorption and absorption of Boron, Nitrogen, Aluminium and Phosphorus on Silicene: stability, electronic and phonon properties
• Perspectives for Spintronics in 2D Materials
• Stability and Strength of Atomically Thin Borophene from First Principles Calculations
• Correlation effects in two-dimensional topological insulators
• Low lattice thermal conductivity of stanene
• 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${}_4$
• Intervalley Scattering and Localization Behaviors of Spin-Valley Coupled Dirac Fermions
• Direct Band Gaps in Group IV-VI Monolayer Materials: Binary Counterparts of Phosphorene
• Robust topological edge states at the perfect surface step edge of topological insulator ZrTe${}_5$
• Stability and electronic properties of two-dimensional silicene and germanene on graphene
• Tuning the Band Gap in Silicene by Oxidation
• d+id' Chiral Superconductivity in Bilayer Silicene
• Germanene termination of Ge${}_2$Pt crystals on Ge(110)
• Large-Gap Quantum Spin Hall Insulator in single layer bismuth monobromide Bi${}_4$Br${}_4$
• Two-Dimensional Oxide Topological Insulator With Iron-Pnictide Superconductor LiFeAs Structure
• Tuning the electronic structures of silicene and germanene by biaxial strain and electric field
• Valley polarized quantum Hall effect and topological insulator phase transitions in silicene
• A Non-Centrosymmetric Superconductor with a Bulk 3D Dirac Cone Gapped by Strong Spin Orbit Coupling
• Quantum anomalous Hall effect with tunable Chern number in magnetic topological insulator film
• Liganded Xene as a Prototype of Two-Dimensional Stiefel-Whitney Insulators
• Experimental evidence of large-gap two-dimensional topological insulator on the surface of ZrTe5
• Direct Visualization of 2D Topological Insulator in Single-layer 1T'-WTe2
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Spin-Valley Optical Selection Rule and Strong Circular Dichroism in Silicene
• Magneto-Optical Conductivity of Silicene and Other Buckled Honeycomb Lattices
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• Quantum Spin Hall Effect and Topological Phase Transition in Two-Dimensional Square Transition Metal Dichalcogenides
• Graphene-based topological insulator with an intrinsic bulk band gap above room temperature
• Quantum spin/valley Hall effect and topological insulator phase transitions in silicene
• Optical Signatures of the Tunable Band Gap and Valley-Spin Coupling in Silicene
• Dynamical conductivity of AA-stacked bilayer graphene
• Low-Energy Effective Hamiltonian for Giant-Gap Quantum Spin Hall Insulators in Honeycomb X-Hydride/Halide (X=N-Bi) Monolayers
• Finite-temperature conductivity and magnetoconductivity of topological insulators
• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
• Large-Gap Quantum Spin Hall States in Stanene Grown on Substrate
• Prediction of a quantum anomalous Hall state in Co decorated silicene
• Highly Sensitive Gas Sensors Based on Silicene Nanoribbons
• Topologically protected quantum transport in locally exfoliated bismuth at room temperature
• Quantized Conductance and Field-Effect Topological Quantum Transistor in Silicene Nanoribbons
• A Gapless MoS${}_2$ Allotrope Possessing Both Massless Dirac and Heavy Fermions
• Theoretical Prediction of Two-Dimensional Functionalized MXene Nitrides as Topological Insulators
• Hole doped Dirac states in silicene by biaxial tensile strain
• Room Temperature Quantum Spin Hall Insulators with a Buckled Square Lattice
• From a normal insulator to a topological insulator in plumbene
• The atomic structure of the $\sqrt{3}\times \sqrt{3}$ phase of silicene on Ag(111)
• Two-Dimensional Node-Line Semimetals in a Honeycomb-Kagome Lattice
• Quasi free-standing silicene in a superlattice with hexagonal boron nitride
• Stability of germanene under tensile strain
• Mermin-Wagner theorem, flexural modes, and degraded carrier mobility in 2D crystals with broken horizontal mirror (${\sigma }_{\mathrm{h}}$) symmetry
• Phonon Properties, Thermal Expansion, and Thermomechanics of Silicene and Germanene
• Gapped Electronic Structure of Epitaxial Stanene on InSb(111)
• Strain-Induced Band Engineering in Monolayer Stanene on Sb(111)
• Nanomaterials for Quantum Information Science and Engineering
• Tunable band gap in germanene by surface adsorption
• Strain Engineering of Antimonene by a First-principles Study: Mechanical and Electronic Properties
• Silicene on Ag(111): an honeycomb lattice without Dirac bands
• Current developments in silicene and germanene
• Aluminene as Highly Hole Doped Graphene
• Plasmonics with two-dimensional semiconductors "beyond graphene": from basic research to technological applications
• Non-Abelian parafermions in time-reversal invariant interacting helical systems
• Lattice symmetry assisted second order topological superconductors and Majorana patterns
• Superconducting Proximity Effect in Silicene: Spin-Valley Polarized Andreev Reflection, Non-Local Transport, and Supercurrent
• Stability of Majorana Fermions in Proximity-Coupled Topological Insulator Nanowires
• Electric and Magnetic Tuning Between the Trivial and Topological Phases in InAs/GaSb Double Quantum Wells
• Dynamical Polarization Function, Plasmons and Screening in Silicene and Other Buckled Honeycomb Lattices
• Stability and properties of high-buckled two-dimensional tin and lead
• Van der Waals heteroepitaxial growth of monolayer Sb in puckered honeycomb structure
• Electronic Structure and Quasiparticle Band Gap of Silicene Structures
• Coexistence of multiple silicene phases in silicon grown on Ag(111)
• AC/DC Spin and Valley Hall Effects in Silicene and Germanene
• Exploration and prediction of topological electronic materials based on first-principles calculations
• Interference of Topologically Protected Edge States in Silicene Nanoribbons
• Topological Phase Transition without Gap Closing
• Direct Evidence of Interaction-Induced Dirac Cones in Monolayer Silicene/Ag(111) System
• Charge transport in pn and npn junctions of silicene
• Silicene Beyond Mono-layers - Different Stacking Configurations And Their Properties
• Functionalized Bismuth Films: Giant Gap Quantum Spin Hall and Valley-Polarized Quantum Anomalous Hall States
• Quantum Spin Hall Effect in 2D Transition Metal Dichalcogenide Haeckelites
• Rashba spin orbit coupling in the Kane-Mele-Hubbard model
• Large-gap quantum spin Hall state in functionalized dumbbell stanene
• Two-dimensional Spin-Orbit Dirac Point in Monolayer HfGeTe
• Formation of quantum spin Hall state on Si surface and energy gap scaling with strength of spin orbit coupling
• Prediction of High Temperature Quantum Anomalous Hall Effect in Two Dimensional Transition-Metal Oxides
• Absence of Dirac Electrons in Silicene on Ag (111) Surfaces
• Magnetic edge anisotropy in graphene-like honeycomb crystals
• Observation of Coulomb gap in the quantum spin Hall candidate single-layer 1T'-WTe${}_2$
• Casimir Force Phase Transitions in the Graphene Family
• Spin and valley polarization of plasmons in silicene due to external fields
• Magnetic ordering phenomena of interacting quantum spin Hall models
• Quantum anomalous Hall effect in atomic crystal layers from in-plane magnetization
• Is Silicene the Next Graphene?
• Spin- and valley-dependent transport through arrays of ferromagnetic silicene junctions
• Two-Dimensional Group-IV Chalcogenide Si2Te2 film: A New Quantum Spin Hall Insulator with Sizable Band Gap
• Competing Magnetic Orderings and Tunable Topological States in Two-Dimensional Hexagonal Organometallic Lattices
• Conductance, Valley and Spin polarization and Tunnelling magneto-resistance in ferromagnetic-normal-ferromagnetic junctions of silicene
• Topological Dirac states beyond $\pi$ orbitals for silicene on SiC(0001) surface
• Electronic properties of Mn decorated silicene on hexagonal boron nitride
• Investigation of Electron-Phonon Coupling in Epitaxial Silicene by In-situ Raman Spectroscopy
• Quantum spin Hall effect on germanene nanoroad embedded in a completely hydrogenated germanene
• Atomically Thin Quantum Spin Hall Insulators
• Inverse participation ratio and localization in topological insulator phase transitions
• Two dimensional topological insulators with tunable band gaps: HgTe and HgSe monolayers
• Multiple Unpinned Dirac Points in Group-Va Single-layers with Phosphorene Structure
• Tunable Quantum Spin Hall Effect via Strain in two-Dimensional Arsenene Monolayer
• Introduction to the Physics of Silicene and other 2D Materials
• van der Waals Heterostructures of Germanene, Stanene and Silicene with Hexagonal Boron Nitride and Their Topological Domain Walls
• Second Order Topological Insulator State in Hexagonal Lattices and its Abundant Material Candidates
• Phonon-mediated Superconductivity in Silicene
• First-principles calculation of topological invariants Z2 within the FP-LAPW formalism
• Two-Dimensional Inversion Asymmetric Topological Insulators in Functionalized III-Bi Bilayers
• Structural Tristability and Deep Dirac States in Bilayer Silicene on Ag(111) Surfaces
• Bound States of Conical Singularities in Graphene-Based Topological Insulators
• An optimized interatomic potential for silicon and its application to thermal stability of silicene
• Spin effects in thermoelectric properties of Al and P doped zigzag silicene nanoribbons
• Topological Mirror Insulators in One Dimension
• Quantum spin Hall effect induced by electric field in silicene
• Intrinsic Nonlinear Planar Hall Effect
• New Families of Large Band Gap 2D Topological Insulators in Ethynyl-Derivative Functionalized Compounds
• Valley-polarized quantum anomalous Hall phase and disorder induced valley-filtered chiral edge channels
• Overcoming Boltzmann's Tyranny in a Transistor via the Topological Quantum Field Effect
• Designing substrates for silicene and germanene: First-principles calculations
• Probing the Topological Phase Transition via Density Oscillations in Silicene and Germanene
• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Spin-polarized current induced by a local exchange field in a silicene nanoribbon
• Topological Phase Transition and Electrically Tunable Diamagnetism in Silicene
• Quantum Hall Effects in Silicene
• Edge states in graphene-like systems
• Strain Mapping In Single-Layer 2D Crystals Via Raman Activity
• Stabilized silicene within bilayer graphene: A proposal based on molecular dynamics and density-functional tight-binding calculations
• Weak interaction between germanene and GaAs(0001) by H intercalation: A route to exfoliation
• Strain induced topological phase transitions in monolayer honeycomb structures of group-V binary compounds
• Quasi-Topological Insulator and Trigonal Warping in Gated Bilayer Silicene
• Intriguing Magnetoelectric Effect in Two-dimensional Ferromagnetic/Perovskite Oxide Ferroelectric Heterostructure
• One-dimensional quantum channel in a graphene line defect
• Time-Reversal-Even Nonlinear Current Induced Spin Polarization
• A new structure of two-dimensional allotropes of group V elements
• Strain tuning of topological band order in cubic semiconductors
• Topological phase and edge states dependence of the RKKY interaction in zigzag silicene nanoribbon
• First-principles study on competing phases of silicene: Effect of substrate and strain
• Topological Insulator to Dirac Semimetal Transition Driven by Sign Change of Spin-Orbit Coupling in Thallium Nitride
• Topological edge states in single- and multi-layer Bi${}_4$Br${}_4$
• Monolayer Mg${}_2$C: Negative Poisson's ratio and unconventional 2D emergent fermions
• Plumbene on a magnetic substrate: a combined STM and DFT study
• Electrically Engineered Band Gap in Two-Dimensional Ge, Sn, and Pb: A First-Principles and Tight-Binding Approach
• Anisotropic longitudinal optical conductivities of tilted Dirac bands in 1T${}^{\prime }$-MoS${}_2$
• Tuning the electronic structure of α-antimonene monolayer through interface engineering
• Quantization of spin Hall conductivity in two-dimensional topological insulators versus symmetry and spin-orbit interaction
• Flat AgTe Honeycomb Monolayer with Topologically Nontrivial States
• Polarity tuning of spin-orbit-induced spin splitting in two-dimensional transition metal dichalcogenides semiconductors
• Electric field controlled spin- and valley-polarized edge states in silicene with extrinsic Rashba effect
• Intrinsic quantum anomalous Hall phase induced by proximity in germanene/Cr${}_2$Ge${}_2$Te${}_6$ van der Waals heterostructure
• Topological Edge States with Zero Hall Conductivity in a Dimerized Hofstadter Model
• Large gap quantum spin Hall insulator, massless Dirac fermions and bilayer graphene analogue in InAs/Ga(In)Sb heterostructures
• Strong Band Hybridization between Silicene and Ag(111)Substrate
• Devices with electrically tunable topological insulating phases
• Two-dimensional Dirac Semimetals without Inversion Symmetry
• Testing Topological Protection of Edge States in Hexagonal Quantum Spin Hall Candidate Materials
• The influence of lattice termination on the edge states of the quantum spin Hall insulator monolayer $1T^{\prime }$-WTe${}_2$
• Dissociative Adsorption of Molecules on Graphene and Silicene
• Epitaxial Growth of Ultraflat Bismuthene with Large Topological Band Inversion Enabled by Substrate-Orbital-Filtering Effect
• Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
• Cyclic Density Functional Theory : A route to the first principles simulation of bending in nanostructures
• Quantum Spin Hall Effect in Ta${}_2$M${}_3$Te${}_5$ (M = Pd, Ni)
• Possibility of Realizing Quantum Spin Hall Effect at Room Temperature in Stanene/Al2O3(0001)
• Direct growth of germanene at interfaces between van der Waals materials and Ag(111)
• Design and realization of topological Dirac fermions on a triangular lattice
• Quantum ground state control in superconductor-silicene structures: $0$-$\pi$ transitions, ${\phi }_0$-junctions, and Majorana bound states
• Plasmon properties and hybridization effects in Silicene
• Symmetry Protected Topological Charge in Symmetry Broken Phase: Spin-Chern, Spin-Valley-Chern and Mirror-Chern Numbers
• Band structure of silicene on the zirconium diboride (0001) thin film surface - convergence of experiment and calculations in the one-Si-atom Brillouin zone
• Origin of topologically trivial states and topological phase transitions in low-buckled plumbene
• Tunable edge states and their robustness towards disorder
• Double Kagome bands in a two-dimensional phosphorus carbide P2C3
• Coexistence of strongly buckled germanene phases on Al(111)
• ${\mathbb{Z}}_2$ invariance of Germanene on MoS${}_2$ from first principles
• Two-dimensional antiferromagnetic Dirac fermions in monolayer TaCoTe${}_2$
• Two-dimensional topological materials discovery by symmetry-indicator method
• All-electron fully relativistic Kohn-Sham theory for solids based on the Dirac-Coulomb Hamiltonian and Gaussian-type functions
• Bulk-Defect Correspondence in Particle-Hole Symmetric Insulators and Semimetals
• Emergent dual topology in the three-dimensional Kane-Mele Pt${}_2$HgSe${}_3$
• Magnetotransport properties of 8-Pmmn borophene: effects of Hall field and strain
• Tailoring the Phase Transition and Electron-Phonon Coupling in 1T'-MoTe2 by Charge Doping: A Raman Study
• Structural stability and energy-gap modulation through atomic protrusion in freestanding bilayer silicene
• On the Optical Properties of Excitons in Buckled 2D Materials in an External Electric Field
• Observation of a Dirac nodal line in AlB2
• Experimental Progress on Layered Topological Semimetals
• Ab initio study of $Z_2$ topological phases in perovskite (111) $({\text{SrTiO}}_3{)}_7/({\text{SrIrO}}_3{)}_2$ and $({\text{KTaO}}_3{)}_7/({\text{KPtO}}_3{)}_2$ multilayers
• Topological magnetic phase in LaMnO${}_3$ (111) bilayer
• Corner states of topological fullerenes
• Chemical modification of silicene
• Strain-controlled valley and spin separation in silicene heterojunctions
• Spin-dependent ballistic transport properties and electronic structures of pristine and edge-doped zigzag silicene nanoribbons: large magnetoresistance
• Spin-polarised DFT modeling of electronic, magnetic, thermal and optical properties of silicene doped with transition metals
• Superstructure-induced splitting of Dirac cones in silicene
• Edge States in Silicene Nanodisks
• Efficient Dual Spin-Valley Filter In Strained Silicene
• Coupling effect of topological states and Chern insulators in two-dimensional triangular lattices
• Dirac States in an Inclined Two-Dimensional Su-Schrieffer-Heeger Model
• Functionalized Thallium Antimony Films as Excellent Candidates for Large-Gap Quantum Spin Hall Insulator
• Spin-filtered and Spatially Distinguishable Crossed Andreev Reflection in a Silicene-Superconductor Junction
• Nonlocal Optical Response in Topological Phase Transitions in the Graphene Family
• Magneto-optical effects in the Landau level manifold of 2D lattices with spin-orbit interaction
• Investigation of the atomic and electronic structures of highly ordered two-dimensional germanium on Au(111)
• Prediction of group IV-V hexagonal binary monolayers
• Three-dimensional topological insulators: A review on host materials
• Edge states of hydrogen terminated monolayer materials: silicene, germanene and stanene ribbons
• Realising Haldane's vision for a Chern insulator in buckled lattices
• Exploring the Optical States for Black Phosphorus: Anisotropy and Bandgap Tuning
• Structure and Quantum Well States in Silicene Nanoribbons on Ag(110)
• Anomalous thermospin effect in the low-buckled Dirac materials
• Dialkali-Metal Monochalcogenide Semiconductors with High Mobility and Tunable Magnetism
• Engineering quantum spin Hall insulators by strained-layer heterostructures
• Silicene nanoribbons on an insulating thin film
• Growth and Thermo-driven Crystalline Phase Transition of Metastable Monolayer 1T'-WSe2 Thin Film
• Robust all-electrical topological valley filtering using monolayer 2D-Xenes
• Topological and magnetic phase transition in silicene-like zigzag nanoribbons
• Structural Evolution and Optoelectronic Applications of Multilayer Silicene
• Realization of a one-dimensional topological insulator in ultrathin germanene nanoribbons
• Pure spin current and perfect valley filter by designed separation of the chiral states in two-dimensional honeycomb lattices
• Multiple odd-frequency superconducting states in buckled quantum spin Hall insulators with time-reversal symmetry
• Plasmon dissipation in gapped-graphene open systems at finite temperature
• Identifying topological-band insulator transitions in silicene and other 2D gapped Dirac materials by means of Rényi-Wehrl entropy
• Stabilizing an atomically thin quantum spin Hall insulator at ambient conditions: Graphene-intercalation of indenene
• Interplay between edge and bulk states in silicene nanoribbon
• Photonic spin Hall effect in Haldane model materials
• Ferromagnetism and quantum anomalous Hall effect in one-side-saturated buckled honeycomb lattices
• Electronic properties of SnTe-class topological crystalline insulator materials
• Spin and Charge Transport of Multi-Orbital Quantum Spin Hall Insulators
• First-principles study of the stability of free-standing germanene in oxygen
• Engineering quantum anomalous Hall phases with orbital and spin degrees of freedom
• Strain-controlled high harmonic generation with Dirac fermions in silicene
• Spin-valley polarized edge states and quantum anomalous Hall states controlled by side potential in 2D honeycomb lattices
• Spintronics with graphene quantum dots
• Effects of spin-orbit coupling and magnetic field on electronic properties of Germanene structure
• Silicene on Substrates: A Theoretical Perspective
• Strain-tunable topological quantum phase transition in buckled honeycomb lattices
• Topological flat bands without magic angles in massive twisted bilayer graphenes
• Van der Waals heterostructures with spin-orbit coupling
• Quantum spin Hall insulators in centrosymmetric thin films composed from topologically trivial BiTeI trilayers
• Robust Large Gap Quantum Spin Hall Insulators in Methyl-functionalized III-Bi Buckled Honeycombs
• Landau levels and magnetic oscillations in gapped Dirac materials with intrinsic Rashba interaction
• Substrate-supported triplet superconductivity in Dirac semimetals
• Coupled Spin and Pseudo-magnetic Field in Graphene Nanoribbons
• Perfect valley filter based on topological phase in disordered $\mathrm{Sb}$ Monolayer Heterostructure
• Controlling plasmon modes and damping in buckled two-dimensional material open systems
• Size, vacancy and temperature effects on Young's modulus of silicene nanoribbons
• Vacancy tuned thermoelectric properties and high spin filtering performance in graphene/silicene heterostructures
• Novel Magnetic Quantization of sp${}^3$ Bonding in Monolayer Tinene
• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Ultrafast field control of symmetry, reciprocity, and reversibility in buckled graphene-like materials
• New Quantum Spin Hall Insulator in Two-dimensional MoS${}_2$ with Periodically Distributed Pores
• Thermal conductance by Dirac fermions in a normal-insulator-superconductor junction of silicene
• Dirac Cone Pairs in Silicene Induced by Interface Si-Ag Hybridization: A First Principles Effective Band Study
• Dirac Theory and Topological Phases of Silicon Nanotube
• Hexagonally Warped Dirac Cones and Topological Phase Transition in Silicene Superstructure
• Signatures of Lifshitz transition in the optical conductivity of two-dimensional tilted Dirac materials
• Surface Plasmon Instability Leading to Emission of Radiation
• Band inversion at critical magnetic fields in a silicene quantum dot
• Quantum charge pumping through resonant crossed Andreev reflection in superconducting hybrid junction of Silicene
• New approach for fabrication germanene with Dirac electrons preserved: A first principle study
• Gallium Bismuth Halides GaBi-X2 (X= I, Br, Cl) Monolayers with Distorted Hexagonal Framework: Novel Room-Temperature Quantum Spin Hall Insulators
• Band bending and zero-conductance resonances controlled by edge electric fields in zigzag silicene nanoribbons
• Two-Dimensional Large Gap Topological Insulators with Large Rashba Spin-Orbit Coupling in Group-IV films
• Realization of Stable Ferromagnetic Order in Topological Insulator: Codoping Enhanced Magnetism in 4f Transition Metal Doped Bi2Se3
• Magnetic Dirac Fermions and Chern Insulator Supported on Pristine Silicon Surface
• Magnetic Properties of Dirac Fermions in a Buckled Honeycomb Lattice
• Detection of topological phase transitions through entropy measurements: the case of germanene
• Plasmon-phonon coupling in a valley-spin-polarized two-dimensional electron system: a theoretical study on monolayer silicene
• Entropy spikes as a signature of Lifshitz transitions in the Dirac materials
• Zero-field and time-reserval-symmetry-broken topological phase transitions in graphene
• Electron spin inversion in gated silicene nanoribbons
• Giant Spin Lifetime Anisotropy and Spin-Valley Locking in Silicene and Germanene from First-Principles Density-Matrix Dynamics
• Electron spin dynamics of two-dimensional layered materials
• Role of line defect in the bandgap and transport properties of silicene nanoribbons
• The Haldane model under nonuniform strain
• Phononic Stiefel-Whitney topology with corner vibrational modes in two-dimensional Xenes and ligand-functionalized derivatives
• Phonon dispersions and electronic structures of two-dimensional IV-V compounds
• Electron Delocalization in Gate-Tunable Gapless Silicene
• Crossover between Silicene and Ultra-Thin Si Atomic Layers on Ag(111) Surfaces
• Electrostatic quantum dots in silicene
• Transient dynamics of spin-polarized injection in helical Luttinger liquids
• Topological edge states of a graphene zigzag nanoribbon with spontaneous edge magnetism
• Phononic thermal conductivity in silicene: the role of vacancy defects and boundary scattering
• Entropic uncertainty relations and topological-band insulator transitions in 2D gapped Dirac materials
• Stabilities and novel electronic structures of three carbon nitride bilayers
• Proximity induced spin-valley polarization in silicene/germanene on F-doped WS${}_2$
• Universal Quantization of Magnetic Susceptibility Jump at Topological Phase Transition
• Tuning of Zero Energy States in Quantum Dots of Silicene and Bilayer Graphene by Electric Field
• Topological phases in Bi/Sb planar and buckled honeycomb monolayers
• Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems
• Pure spin current and negative differential electric resistance in hybrid systems
• Valley polarization in graphene-silicene-graphene heterojunction
• Spin-polarized currents in corrugated graphene nanoribbons
• Exact solutions in two-dimensional topological superconductors: Hubbard interaction induced spontaneous symmetry breaking
• Optimizing Topological Switching in Confined 2D-Xene Nanoribbons via Finite-Size Effects
• Effects of parallel electric and magnetic fields on Rydberg excitons in buckled two-dimensional materials
• Interband $\pi$-like plasmon in silicene grown on silver
• Twisted nodal wires and three-dimensional quantum spin Hall effect in distorted square-net compounds
• Valley-Dependent Magnetoresistance in Two-Dimensional Semiconductors
• Andreev Bound states in One Dimensional Topological Superconductor
• Broadband Transverse Electric Surface Wave in Silicene
• Searching for the optimum conditions for silicene growth by calculations of the free energy
• Topological phase transition in MoTe${}_2$: A Review
• Robust Dirac lines against Ge vacancy and possible spin-orbit Dirac points in nonsymmorphic HfGe0.92Te
• Magnetic oscillations in silicene
• Single and multiple doping effects on electron transport in zigzag silicene nanoribbons
• Spin structure factors of doped monolayer Germanene in the presence of spin-orbit coupling
• Ab initio Investigation on Hybrid Graphite-like Structure Made up of Silicene and Boron Nitride
• Spin-polarized electric current in silicene nanoribbons induced by atomic adsorption
• Calculating the free energy of 2D materials on substrates
• An efficient method for hybrid density functional calculation with spin-orbit coupling
• Tunable electronic and magneto-optical properties of monolayer arsenene from GW approximation to large-scale tight-binding simulations
• Distortion and electric field control of band structure of silicene
• Anisotropic Friedel oscillations in graphene-like materials: The Dirac point approximation in wave-number dependent quantities revisited
• Experimental observations indicating the topological nature of the edge states on HfTe5
• Spin- and valley-dependent Goos-Hanchen effect in silicene and gapped graphene structures
• Single Dirac-Cone State and Quantum Hall Effects in Honeycomb Structure
• Emergence of Dirac-like bands in the monolayer limit of epitaxial Ge films on Au(111)
• Nanopore-patterned CuSe drives the realization of PbSe-CuSe lateral heterostructure
• Photoenhanced spin/valley polarization and tunneling magnetoresistance in ferromagnetic-normal-ferromagnetic silicene junction
• Quantum phase transitions of topological insulators without gap closing
• Effect of an external electric field on local magnetic moments in silicene
• Altermagnetism Induced Topological Phase Transitions in Kane-Mele Model
• Landau quantization in buckled monolayer GaAs
• Tunability of the Fractional Quantum Hall States in Buckled Dirac Materials
• Spin helical states and spin transport of the line defect in silicene lattice
• A new kind of 2D topological insulators BiCN with a giant gap and its substrate effects
• Interfaces between buckling phases in Silicene: Ab initio density functional theory calculations
• Topological phase in oxidized zigzag stanene nanoribbons
• Influence of edge magnetization and electric fields on zigzag silicene, germanene and stanene nanoribbons
• Buckled honeycomb lattice and unconventional magnetic response
• Tunneling magnetoresistance and spin-valley polarization of aperiodic magnetic silicene superlattices
• Theoretical prediction of sandwiched two-dimensional phosphide binary compounds sheets with tunable bandgaps and anisotropic physical properties
• Robust Ferromagnetism in Silicene Nanoflakes through Patterned Hydrogenation
• Interfacial Coupling and Electronic Structure of Two-Dimensional Silicon Grown on the Ag(111) Surface at High Temperature
• Entropy per particle spikes in the transition metal dichalcogenides
• In-plane Chiral Tunneling and Out-of-plane Valley-polarized Quantum Tunneling in Twisted Graphene Trilayer
• Beating pattern in quantum magnetotransport coefficients of spin-orbit coupled Dirac fermions in gated silicene
• Spin splitting and spin Hall conductivity in buckled monolayers of the group 14: First-principles calculations
• Lattice-pseudospin and spin-valley polarizations in dual ferromagnetic-gated silicene junction
• Two-dimensional germanium islands with Dirac signature on Ag2Ge surface alloy
• Metal-Silicene Interaction Studied by Scanning Tunneling Microscopy
• On the mystery of the absence of a spin-orbit gap in scanning tunneling microscopy spectra of germanene
• Magnetization in pristine graphene with Zeeman splitting and variable spin-orbit coupling
• PAW mediated ab initio simulations on linear response phonon dynamics of anisotropic black phosphorous monolayer for thermoelectric applications
• Pure spin current in a two-dimensional topological insulator
• Resonance Raman spectroscopy of silicene and germanene
• Band structures and ${\mathbb{Z}}_2$ invariants of two-dimensional transition metal dichalcogenide monolayers from fully-relativistic Dirac-Kohn-Sham theory using Gaussian-type orbitals
• Two-dimensional Dirac semiconductor and its material realization
• Topological properties of the mesoscopic graphene plaquette: QSHE due to spin imbalance
• Dynamical spin-to-charge conversion on the edge of quantum spin Hall insulator
• Spin and valley manipulation in single and double electrostatic silicene quantum dots
• The magnetic and transport properties of edge passivated silicene nanoribbon by Mn atoms
• Entropy Signatures of Topological Phase Transitions
• Edge superconducting state in attractive U Kane-Mele-Hubbard model
• Spectral properties and the Kondo effect of cobalt adatoms on silicene
• Transport features of topological corner states in honeycomb lattice with multihollow structure
• Controllable intrinsic DC spin/valley Hall conductivity in ferromagnetic silicene: Exploring a fully spin/valley polarized transport
• Power loss of hot Dirac fermions in silicene and its near equivalence with graphene
• Engineering Topological quantum dot through planar magnetization in bismuthene
• Spin-pumping and inelastic electron tunneling spectroscopy in topological insulators
• Low-temperature linear transport of two-dimensional massive Dirac fermions in silicene: residual conductivity and spin/valley Hall effects
• Topological Spin and Valley Pumping in Silicene
• Interband and intraband transition, dynamical polarization and screening of the monolayer and bilayer silicene in low-energy tight-binding model
• Interplay of Floquet Lifshitz transitions and topological transitions in bilayer Dirac materials
• Modeling Interlayer Interactions and Phonon Thermal Transport in Silicene Bilayer
• Electric field controlled valley-polarized photocurrent switch based on the circular bulk photovoltaic effect
• Topological contribution to magnetism in the Kane-Mele model: An explicit wave function approach
• Large magnetoresistance dips and perfect spin-valley filter induced by topological phase transitions in silicene
• Electrical control of a confined electron spin in a silicene quantum dot
• Spin-Orbit Dirac Fermions in 2D Systems
• Switchable in-plane anomalous Hall effect by magnetization orientation in monolayer ${\mathrm{Mn}}_3{\mathrm{Si}}_2{\mathrm{Te}}_6$
• Alloying-induced topological transition in 2D transition-metal dichalcogenide semiconductors
• Effective spin dephasing mechanism in confined two-dimensional topological insulators
• Transport through a quantum spin Hall antidot as a spectroscopic probe of spin textures
• Ab initio property characterisation of thousands of previously unknown 2D materials
• Bulk-boundary-transport correspondence of the second-order topological insulators
• Identifying the Alloy Structures of Germanene Grown on Al(111) Surface
• Two-dimensional anisotropic Dirac materials PtN4C2 and Pt2N8C6 with quantum spin and valley Hall effects
• Silicene Like Domains on IrSi3 Crystallites
• Helical edge states in silicene and germanene nanorings in perpendicular magnetic field
• Enhancement of Rashba spin-orbit coupling by electron-electron interaction
• Topologically protected wave packets and quantum rings in silicene
• Orbital magnetic moments in insulating Dirac systems: Impact on magnetotransport in graphene van der Waals heterostructures
• Protected edge states in silicene antidots and dots in magnetic field
• Two-Dimensional Si-Ge Monolayers: Stabilities, Structures and Electronic Properties
• Aharonov-Bohm oscillations of four-probe resistance in topological quantum rings in silicene and bilayer graphene
• Tailoring Metal Insulator Transitions $\&$ Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
• Nonlinear Bloch-Zener oscillations for Bose-Einstein condensates in a Lieb optical lattice
• Realizing robust large-gap quantum spin Hall state in 2D HgTe monolayer on insulating substrate
• Chiral properties of topological-state loops
• Growth of bilayer stanene on a magnetic topological insulator aided by a buffer layer
• Topological phase transition in GeSnH${}_2$ induced by biaxial tensile strain: A tight-binding study
• Tilted Dirac Cones in Two-Dimensional Materials: Impact on Electron Transmission and Pseudospin Dynamics
• Photo-induced spin and valley-dependent Seebeck effect in the low-buckled Dirac materials
• Current density functional framework for spin-orbit coupling: Extension to periodic systems
• Electron interferometry and quantum spin Hall phase in silicene
• Quantum valley Hall states in low-buckled counterparts of graphene bilayer
• Piezoelectric quantum spin Hall insulator VCClBr monolayer with pure out-of-plane piezoelectric response
• Nonlinear Edelstein Effect in Strongly Correlated Electron Systems
• Spin Transport in Armchair Silicene Nanoribbon on the Substrate: The Role of Charged Impurity
• Perfectly Conducting Graphene Electronic Waveguide with Curved Channels
• RKKY interactions mediated by topological states in transition metal doped bismuthene
• Searching for Large-gap Quantum Spin Hall Insulators: Boron-Nitride/(Pb, Sn)/α-Al2O3 Sandwich Structures
• Synthesizing Weyl semimetals in weak topological insulator and topological crystalline insulator multilayers
• Faraday rotation and transmittance as markers of topological phase transitions in 2D materials
• Spin-valley coupled thermoelectric energy converter with strained honeycomb lattices
• Magnetic oscillations of the anomalous Hall conductivity
• Characterization of higher-order topological superconductors using Bott indices
• Valley detection using a graphene gradual pn junction with spin-orbit coupling: an analytical conductance calculation
• Moiré-modulated band gap and van Hove singularities in twisted bilayer germanene
• Gate controlled spin pumping at a quantum spin Hall edge
• Semimetal behavior of bilayer stanene
• Spin-valley-coupled quantum spin Hall insulator with topological Rashba-splitting edge states in Janus monolayer $\mathrm{CS}{\mathrm{b}}_{1.5}\mathrm{B}{\mathrm{i}}_{1.5}$
• Quantum spin Hall insulators and quantum valley Hall insulators of BiX/SbX (X = H, F, Cl, and Br) monolayers with a record bulk band gap
• Topological phase transition induced by magnetic proximity effect in two dimensions
• Dynamical spin-spin susceptibility of Silicene
• Topological Luttinger semimetallic phase accompanied with surface states realized in silicon
• Tunable dispersion of the edge states in the integer quantum Hall effect
• Integer quantum Hall effect and topological phase transitions in silicene
• Precise determination of critical points of topological phase transitions via shift current in two-dimensional inversion asymmetric insulators
• Electrically tunable magnetoplasmons in a monolayer of silicene or germanene
• Bistability of zigzag edge magnetism in graphene nanoribbons induced by electric field
• Functionalized Tellurene; a candidate large-gap 2D Topological Insulator
• Adiabatic approximation for a uniform DC electric field
• Tailoring topological states in silicene using different halogen-passivated Si(111) substrates
• Variable Coupling Strength of Silicene on Ag(111)
• Band crossings in honeycomb-layered transition metal compounds
• Transitions in Xenes between excitonic, topological and trivial insulator phases: influence of screening, band dispersion and external electric field
• Effects of electron-impurity scattering on density of states in silicene: impurity bands and band-gap narrowing
• Ultra-high mechanical stretchability and controllable topological phase transitions in two-dimensional arsenic
• Zigzag nanoribbon of gated bilayer hexagonal crystals with spontaneous edge magnetism
• Persistent currents in topological and trivial confinement in silicene
• Quantum Hall ferromagnets and transport properties of buckled Dirac materials
• Microscopic Green's function approach for generalized Dirac Hamiltonians
• Spin-dependent Andreev reflection in spin-orbit coupled systems by breaking time-reversal symmetry
• Anisotropy engineering edge magnetism in zigzag honeycomb nanoribbons
• Superconductivity induced by flexural modes in non ${\sigma }_{\mathrm{h}}$-symmetric Dirac-like two-dimensional materials: A theoretical study for silicene and germanene
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice
• Gate-tunable chiral phonons in low-buckled group-IVA monolayers
• Concentration-Diversified Magnetic and Electronic Properties of Halogen-Adsorbed Silicene
• Nagaoka spin-valley ordering in silicene quantum dots
• Possible Electric-Field-Induced Superconducting States in Doped Silicene
• Detection of topological states in two-dimensional Dirac systems by the dynamic spin susceptibility
• Reduction for one-loop tensor Feynman integrals in the relativistic quantum field theories at finite temperature and/or finite density
• Topological Properties of Bilayer $\alpha -T_3$ Lattice Induced by Polarized Light
• Thermal dissipation of the quantum spin Hall edge states in HgTe/CdTe quantum well
• 2D Nitride Ordered Alloys: A Novel Class of Ultra-Wide Bandgap Semiconductors
• The d-p band-inversion topological insulator in bismuth-based skutterudites
• Quantum anomalous Hall effect with high Chern number in two dimensional ferromagnets Ti2TeSO
• Valley- and Orbital-Controlled 2D Chern Insulators Without Spin-orbit Interaction
• Does the Dirac Cone Exist in Silicene on Metal Substrates?
• Geometrical and electrical modulation on the transport property of silicene constrictions
• Topological features of hydrogenated graphene
• Stain-Induced Band Inversion and Topological Nontriviality in Antimonene
• Observation of Dirac cone warping and chirality effects in silicene
• Epitaxial fabrication of AgTe monolayer on Ag(111) and the sequential growth of Te film
• Robust large-gap topological insulator phase in transition-metal chalcogenide ZrTe${}_4$Se
• Structure of germanene/Al(111): a two-layers surface alloy
• The perfect spin injection in silicene FS/NS junction
• 2+1 dimensional Fermions on the low-buckled honey-comb structured lattice plane and classical Casimir-Polder force
• Controlling quantum spin Hall state via strain in various stacking bilayer phosphorene
• Two ultra-stable novel allotropes of Tellurium few-layers
• g-SiC6 Monolayer: A New Graphene-like Dirac Cone Material with a High Fermi Velocity
• Mimicing the Kane-Mele type spin orbit interaction by spin-flexual phonon coupling in graphene devices
• Fermi Surface Geometry
• Crystalline Weyl semimetal phase in Quantum Spin Hall systems under magnetic fields
• Substrate-induced magnetism and topological phase transition in silicene