Zitterbewegung, chirality, and minimal conductivity in graphene

Abstract

It has been recently demonstrated experimentally that graphene, or single-layer carbon, is a gapless semiconductor with massless Dirac energy spectrum. A finite conductivity per channel of order of $e^2/h$ in the limit of zero temperature and zero charge carrier density is one of the striking features of this system. Here we analyze this peculiarity based on the Kubo and Landauer formulas. The appearance of a finite conductivity without scattering is shown to be a characteristic property of Dirac chiral fermions in two dimensions.

final version; 4 pages, 1 eps figure

References in corpus (3)

• Electric Field Effect in Atomically Thin Carbon Films
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene

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• Robust Transport Properties in Graphene
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• Hydrodynamic model for electron-hole plasma in graphene
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• Smooth electron waveguides in graphene
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• Gap generation and semimetal-insulator phase transition in graphene
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• Electron pumping in graphene mechanical resonators
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• Notes on the minimal longitudinal dc conductivity of perfect bilayer graphene
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• Electronic Transport in Disordered Bilayer and Trilayer Graphene
• Generalized kinetic equations for charge carriers in graphene
• Goos-Hänchen and Imbert-Fedorov shifts for Gaussian beams impinging on graphene-coated surfaces
• Inter-band Coherence Response to Electric Fields in Crystals
• Realization of Dirac Point with Double Cones in Optics
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• Crossover from quantum to Boltzmann transport in graphene
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• Effective medium theory for disordered two-dimensional graphene
• Monte-Carlo study of the electron transport properties of monolayer graphene within the tight-binding model
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• Anderson localization of electron states in graphene in different types of disorder
• Numerical analytic continuation of Euclidean data
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• Transport in superlattices on single layer graphene
• UV fixed-point structure of the three-dimensional Thirring model
• Effect of contact induced states on minimum conductivity in graphene
• Finite difference method for transport properties of massless Dirac fermions
• Mesoscopic conductance fluctuations in graphene samples
• Oscillatory multiband dynamics of free particles: The ubiquity of zitterbewegung effects
• Zero-energy states in corrugated bilayer graphene
• Interaction Induced Quantum Valley Hall Effect in Graphene
• Revivals, classical periodicity, and zitterbewegung of electron currents in monolayer graphene
• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Conformal mapping and shot noise in graphene
• Single- and multi-mode Fabry-Pérot interference in suspended graphene
• Average Density of States in Disordered Graphene systems
• Temperature dependence of the conductivity of ballistic graphene
• Magnetoconductance of the Corbino disk in graphene
• Atomic Zitterbewegung
• Geometrical and topological aspects of graphene and related materials
• Statistics of random voltage fluctuations and the low-density residual conductivity of graphene
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• Cyclotron motion in graphene
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• Dirac electron in graphene under supersymmetry generated magnetic fields
• Spin-controlled superconductivity and tunable triplet correlations in graphene nanostructures
• Interplay of the Aharonov-Bohm effect and Klein tunneling in graphene
• General Theory of the Zitterbewegung
• Time-dependent transport in graphene nanoribbons
• Diffusion of Dirac fermions across a topological merging transition in two dimensions
• DC conductivity of twisted bilayer graphene: Angle-dependent transport properties and effects of disorder
• Aharonov-Bohm effect in undoped graphene: Magnetotransport via evanescent waves
• Effective mass and tricritical point for lattice fermions localized by a random mass
• Screening-Induced Transport at Finite Temperature in Bilayer Graphene
• MagnetoResistance of graphene-based spin valves
• Absence of a metallic phase in charge-neutral graphene with a random gap
• Evanescent wave transport and shot noise in graphene: ballistic regime and effect of disorder
• Dynamics of a quasiparticle in the $\alpha$-T${}_3$ model: Role of pseudospin polarization and transverse magnetic field on \textbf{\textit{zitterbewegung}}
• Transport through evanescent waves in ballistic graphene quantum dots
• Conductance quantization in graphene nanoribbons: Adiabatic approximation
• Dirac electrons in graphene-based quantum wires and quantum dots
• Emergence of massless Dirac fermions in graphene's Hofstadter butterfly at switches of the quantum Hall phase connectivity
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• Breakdown of Dirac Dynamics in Honeycomb Lattices due to Nonlinear Interactions
• Andreev reflection in bilayer graphene
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• Strain Enhanced Superconductivity in Li-Doped Graphene
• Tilted disordered Weyl semimetals
• Transport across twist angle domains in moiré graphene
• Random matrices and quantum chaos in weakly-disordered graphene nanoflakes
• Numerical study of the conductivity of graphene monolayer within the effective field theory approach
• Conductivity of pure graphene: Theoretical approach using the polarization tensor
• Pseudo-diffusive conduction at the Dirac point of a normal-superconductor junction in graphene
• Kubo formula for non-Hermitian systems and tachyon optical conductivity
• Generalized transfer matrix theory on electronic transport through graphene waveguide
• Chiral anomaly and strength of the electron-electron interaction in graphene
• Charge transport and shot noise in ballistic graphene sheet
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• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Electronic doping of graphene by deposited transition metal atoms
• Surface charge conductivity of topological insulator in a magnetic field: effect of hexagonal warping
• Spatial Goos-Hänchen shift in photonic graphene
• Cooper-pair propagation and superconducting correlations in graphene
• Reflectionless Transport of Surface Dirac Fermions on Topological Insulators with Induced Ferromagnetic Domain Walls
• Optical conductivity of semi-Dirac and pseudospin-1 models: Zitterbewegung approach
• Phonon-mediated superconductivity in doped monolayer materials
• Zitterbewegung of nearly-free and tightly bound electrons in solids
• Diffusion in the random gap model of mono- and bilayer graphene
• Signatures of disorder in the minimum conductivity of graphene
• Conductivity of graphene: How to distinguish between samples with short and long range scatterers
• Tunable Supercurrent at the Charge Neutrality Point via Strained Graphene Junctions
• Massive Dirac fermions and the zero field quantum Hall effect
• Nonequilibrium valley polarization in graphene nanoconstrictions
• Temperature dependence of the diffusive conductivity of bilayer graphene
• Weak momentum scattering and the conductivity of graphene
• On the effect of weak disorder on the density of states in graphene
• Tuning the Fano factor of graphene via Fermi velocity modulation
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Relation between Zitterbewegung and the charge conductivity, Berry curvature and the Chern number of multi band systems
• Reflectivity properties of graphene with nonzero mass-gap parameter
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• Critical currents in graphene Josephson junctions
• Quantum pumping in a ballistic graphene bilayer
• Dynamics of quasiparticles in graphene under intense circularly polarized light
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• Zitterbewegung in monolayer silicene in a magnetic field
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• Anisotropic minimal conductivity of graphene bilayers
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• Localization of Dirac-like excitations in graphene in the presence of smooth inhomogeneous magnetic fields
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• Effective medium theory for photonic pseudospin-1/2 system
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Long-range correlations in disordered graphene
• Effect of zitterbewegung on the propagation of wave packets in ABC-stacked multilayer graphene: an analytical and computational approach
• Effective Quantum Theories for Transport in Inhomogeneous Systems with Non-trivial Band Structure
• Graphene Conductivity near the Charge Neutral Point
• Diffusive transport in graphene: the role of interband correlation
• Simulation of Zitterbewegung by modelling the Dirac equation in Metamaterials
• Exact results for intrinsic electronic transport in graphene
• Multicriticality of Two-dimensional Class D Disordered Topological Superconductors
• The noncommutative geometry of Zitterbewegung
• Signatures of evanescent transport in ballistic suspended graphene superconductor junctions
• Time-evolution patterns of electrons in twisted bilayer graphene
• Hybrid matrix method for stable numerical analysis of the propagation of Dirac electrons in gapless bilayer graphene superlattices
• Impurity assisted nanoscale localization of plasmonic excitations in graphene
• Electron-Photon Vertex and Dynamical Chiral Symmetry Breaking in Reduced QED: An Advanced Study of Gauge Invariance
• Emergence of bound states in ballistic magnetotransport of graphene antidots
• Effects of Space-Time Curvature on Spin-1/2 Particle Zitterbewegung
• Wave packet dynamics in hole Luttinger systems
• Large Berry phases in layered graphene
• Tunable zero-energy transmission resonances in shifted graphene bilayer
• Optical activity and transport in twisted bilayer graphene: the essence of spatial dispersion effects
• Edge magnetotransport in graphene: A combined analytical and numerical study
• Tunable Electronic Band Structures and Zero-Energy Modes of Heterosubstrate-induced Graphene Superlattices
• Effects of a continuous quantum measurement on the electric conductivity: Application to graphene
• Quantum corrections in the Boltzmann conductivity of graphene and their sensitivity to the choice of formalism
• A new phenomenon in graphene: The pseudospinorial Zitterbewegung
• Steering Zitterbewegung in driven Dirac systems -- from persistent modes to echoes
• Disorder-induced pseudodiffusive transport in graphene nanoribbons
• Transport through the network of topological channels in HgTe based quantum well
• Floquet scattering of light and sound in Dirac optomechanics
• Transport in graphene nanostructures with spatially modulated gap and potential
• Conical Wave Propagation and Diffraction in 2D Hexagonally Packed Granular Lattices
• Unconventional quasiparticle lifetime in undoped graphene
• Electromagnetic properties of graphene junctions
• Transport signatures of Van Hove singularities in mesoscopic twisted bilayer graphene
• Zitterbewegung (trembling motion) of electrons in narrow gap semiconductors
• Wave packet dynamics in monolayer MoS${}_2$ with and without a magnetic field
• Massless Dirac Fermions in Electromagnetic Field
• Wiedemann-Franz-type relation between shot noise and thermal conduction of Majorana surface states in a three-dimensional topological superconductor
• Electron transmission through step- and barrier-like potentials in graphene ribbons
• Half-integer anomalous currents in 2D materials from a QFT viewpoint
• Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise
• Delocalization of surface Dirac electrons in disordered weak topological insulators
• Two distinct ballistic processes in graphene at Dirac point
• Sub-Sharvin conductance and enhanced shot noise in doped graphene
• Thermal transport driven by charge imbalance in graphene in magnetic field, close to the charge neutrality point at low temperature: Non local resistance
• Scattering approach to frequency-dependent current noise in Fabry-Pérot graphene devices
• Full counting statistics in disordered graphene at Dirac point: From ballistics to diffusion
• Low-temperature linear transport of two-dimensional massive Dirac fermions in silicene: residual conductivity and spin/valley Hall effects
• AC transport properties of single and bilayer graphene
• Electronic transport of a large scale system studied by renormalized transfer matrix method: application to armchair graphene nanoribbons between quantum wires
• Low-Energy Conductivity of Single- and Double-Layer Graphene from the Uncertainty Principle
• Anomalous optical saturation of low-energy Dirac states in graphene and its implication for nonlinear optics
• Transport in Graphene superimposed by a moving Electrical Superlattice Potential
• The weak side of strong topological insulators
• Critical behavior for point monopole and dipole electric impurities in uniformily and uniaxially strained graphene
• Time-diffraction and Zitterbewegung of two-dimensional massless Dirac excitations
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Keldysh functional renormalization group for electronic properties of graphene
• Kohn-Luttinger superconductivity in monolayer and bilayer semimetals with the Dirac spectrum
• Transport Properties through Double Barrier Structure in Graphene
• Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis
• Quantum Electric Circuits Analogous to Ballistic Conductors
• Boltzmann conductivity of ferromagnetic graphene with magnetic impurities
• Transport Properties for Triangular Barriers in Graphene
• Shot noise in a harmonically driven ballistic graphene transistor
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves
• Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field
• Quantum transport of a spin-1 chiral fermion
• Suppression of magnetotransport in strongly disordered graphene
• Transmission properties of microwaves at an optical Weyl point in a three-dimensional chiral photonic crystal
• Dry transfer method for suspended graphene on lift-off-resist: simple ballistic devices with Fabry-Pérot interference
• Zitterbewegung in External Magnetic Field: Classic versus Quantum Approach
• Pseudodiffusive conductance, quantum-limited shot noise, and Landau-level hierarchy in biased graphene bilayer
• Anisotropic resistivity of the monolayer graphene in the trigonal warping and connected Fermi curve regimes
• Ballistic transport properties in pristine-doped-pristine graphene junctions
• Exotic surface states in hybrid structures of topological insulators and Weyl semimetals
• Optical response in Weyl semimetal in model with gapped Dirac phase
• An experimental scheme for determining the Berry phase in two-dimensional quantum materials with a flat band
• Landau levels for graphene layers in noncommutative plane
• Signature of pseudo-diffusive transport in mesoscopic topological insulators
• Anomalous superconductivity and superfluidity in repulsive fermion systems
• Trigonal warping, pseudodiffusive transport, and finite-system version of the Lifshitz transition in magnetoconductance of bilayer-graphene Corbino disks
• Wavepacket representation of leads for efficient simulations of time-dependent electronic transport
• Dependence of electronic and optical properties on a high-frequency field for carbon nanotubes
• Effect of disorder with long-range correlation on transport in graphene nanoribbon
• Ballistic charge transport in chiral-symmetric few-layer graphene
• Metallic proximity effect in ballistic graphene with resonant scatterers
• Two-dimensional Dirac fermion in presence of an asymmetric vector potential
• Pseudospin-2 in photonic chiral borophene
• On the supersymmetric pseudo-QED
• Conductivity scaling and the effects of symmetry-breaking terms in bilayer graphene Hamiltonian
• Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force
• Minimal conductivity and signatures of quantum criticality in ballistic graphene bilayer
• Two-photon echo method for observing electron Zitterbewegung in carbon nanotubes
• Interplay of Aharonov-Bohm, chirality, and aspect ratio effects in the axial conductance of a nanotube
• Relaxation of charge in monolayer graphene: fast non-linear diffusion vs Coulomb effects
• Conductance of graphene flakes contacted at their corners
• Contact conductance between graphene and quantum wires
• The stabilizer group of honeycomb lattices and its application to deformed monolayers
• Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation
• Strong localization in a suspended monolayer graphene by intervalley scattering
• One-dimensional scattering of fermions in double Dirac delta potentials
• Nanospintronics meets relativistic quantum physics: Ubiquity of Zitterbewegung effects
• Kramers-Kronig relation of graphene conductivity
• A weak-value model for virtual particles supplying the electric current in graphene: the minimal conductivity and the Schwinger mechanism
• Magnetoconductance of the Corbino disk in graphene: Chiral tunneling and quantum interference in the bilayer case
• Quantum diffusion of a relativistic particle in a time-dependent random potential
• Relativistic particles in super-periodic potentials: exploring graphene and fractal systems
• Pseudodiffusive transmission of nodal Dirac fermions through a clean d-wave superconductor
• A Green's function approach to transmission of massless Dirac fermions in graphene through an array of random scatterers
• Dynamical properties of quasiparticles in a tunable Kekulé graphene superlattice
• Anderson Transition in Disordered Bilayer Graphene
• Signature of topological phases in Zitterbewegung
• Intra-cell dynamics and cyclotron motion without magnetic field
• Candidate entanglement invariants for two Dirac spinors
• Universal Landauer conductance in chiral symmetric 2d systems
• Electronic transport in graphene with particle-hole-asymmetric disorder
• Spin transverse force and quantum transverse transport
• Non-linear photoconductivity of strongly driven graphene
• Quantum transport of Dirac fermions in selected graphene nanosystems away from the charge-neutrality point
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Finite-size scaling analysis of the conductivity of Dirac electrons on a surface of disordered topological insulators
• Hanbury Brown and Twiss Exchange Correlations in Graphene Box
• Quantum Transport in Spin-1 Chiral Fermion: Self-Consistent Born Approximation
• Effect of Uncorrelated On-site Scalar Potential and Mass Disorder on Transport of Two-Dimensional Dirac Fermions
• Floquet Control of Electron and Exciton Transport in Kekulé-Distorted Graphene
• Link of the Zitterbewegung with the spin conductivity and the spin-textures of multiband systems
• Graphene tests of Klein phenomena
• Generation of Half-Integer Harmonics and Efficient THz-to-Visible Frequency Conversion in Strained Graphene