Impurity-assisted tunneling in graphene

Abstract

The electric conductance of a strip of undoped graphene increases in the presence of a disorder potential, which is smooth on atomic scales. The phenomenon is attributed to impurity-assisted resonant tunneling of massless Dirac fermions. Employing the transfer matrix approach we demonstrate the resonant character of the conductivity enhancement in the presence of a single impurity. We also calculate the two-terminal conductivity for the model with one-dimensional fluctuations of disorder potential by a mapping onto a problem of Anderson localization.

6 pages, 3 figures, final version, typos corrected, references added

References in corpus (25)

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• Low energy theory of disordered graphene
• Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
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• Band-center anomaly of the conductance distribution in one-dimensional Anderson localization
• Enhanced Transmission Due to Disorder
• Transport regimes in surface disordered graphene sheets
• Non-monotonic disorder-induced enhanced tunneling

Cited by in corpus (61)

• The electronic properties of graphene
• Electronic transport in two dimensional graphene
• Colloquium: The transport properties of graphene: An introduction
• Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport
• Demonstration of one-parameter scaling at the Dirac point in graphene
• Shot Noise in Ballistic Graphene
• Transport in chemically doped graphene in the presence of adsorbed molecules
• Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
• Electrostatic confinement of electrons in an integrable graphene quantum dot
• Anomalously large conductance fluctuations in weakly disordered graphene
• Conductivity and Fano factor in disordered graphene
• Transport and localization in periodic and disordered graphene superlattices
• Diffusion and criticality in undoped graphene with resonant scatterers
• Spatial distribution of local currents of massless Dirac fermions in quantum transport through graphene nanoribbons
• Transport properties of graphene across strain-induced nonuniform velocity profiles
• Charge transport in graphene with resonant scatterers
• Coulomb interaction in graphene: Relaxation rates and transport
• Conductance of disordered graphene superlattice
• Anderson localization of electron states in graphene in different types of disorder
• Ballistic transport in disordered graphene
• Spin Hall Effect and Origins of Nonlocal Resistance in Adatom-Decorated Graphene
• Conformal mapping and shot noise in graphene
• Universal scaling of current fluctuations in disordered graphene
• Evanescent wave transport and shot noise in graphene: ballistic regime and effect of disorder
• Transport through evanescent waves in ballistic graphene quantum dots
• Tunneling of Dirac electrons through spatial regions of finite mass
• Tunable electronic transport and unidirectional quantum wires in graphene subjected to electric and magnetic fields
• Anderson localization in metamaterials and other complex media
• Dirac-Kronig-Penney model for strain-engineered graphene
• Metal-Insulator Transition in Graphene on Boron Nitride
• Signatures of Klein tunneling in disordered graphene p-n-p junctions
• Resonant modes in strain-induced graphene superlattices
• Many body renormalization of the minimal conductivity in graphene
• Electron supercollimation in graphene and Dirac fermion materials using one-dimensional disorder potentials
• Nonequilibrium valley polarization in graphene nanoconstrictions
• Valley polarization effects on the localization in graphene Landau levels
• Nonlinear transport of ballistic Dirac electrons tunneling through a tunable potential barrier in graphene
• Strain Controlled Spin and Charge Pumping in Graphene Devices via Spin-orbit Coupled Barriers
• Impurity band induced by point defects in graphene
• Demonstration of a New Transport Regime of Photon in Two-dimensional Photonic Crystal
• Disorder assisted transmission due to charge puddles in monolayer graphene: Transmission enhancement and local currents
• Transparent mirror effect in twist-angle-disordered bilayer graphene
• Disorder-induced pseudodiffusive transport in graphene nanoribbons
• Robustness of persistent currents in two-dimensional Dirac systems with disorders
• Delocalization of surface Dirac electrons in disordered weak topological insulators
• Viscosity Enhancement by Electron-Hole Collisions in Dirac Electron Fluid
• Transport signatures of relativistic quantum scars in a graphene cavity
• 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
• Ballistic charge transport in chiral-symmetric few-layer graphene
• Trigonal warping, pseudodiffusive transport, and finite-system version of the Lifshitz transition in magnetoconductance of bilayer-graphene Corbino disks
• Metallic proximity effect in ballistic graphene with resonant scatterers
• A Green's function approach to transmission of massless Dirac fermions in graphene through an array of random scatterers
• Nature of single-particle states in disordered graphene
• Pseudodiffusive transmission of nodal Dirac fermions through a clean d-wave superconductor
• Relativistic particles in super-periodic potentials: exploring graphene and fractal systems
• Finite-size scaling analysis of the conductivity of Dirac electrons on a surface of disordered topological insulators
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Coherent-scatterer enhancement and Klein-tunneling suppression by potential barriers in gapped graphene with chirality-time-reversal symmetry
• Conductivity scaling and absence of localization in disordered nodal line semimetals
• Conductance through the disclination dipole defect in metallic carbon nanotubes