Quantum Transport of Massless Dirac Fermions

2006/06/30 by Kentaro Nomura, A. H. MacDonald · 53 citations
Materials Science · Physics and Astronomy · #Diamond and Carbon-based Materials Research #Graphene research and applications #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.98.076602

published as Phys. Rev. Lett. 98, 076602 (2007) · 4 pages, 1 figure

arxiv created 2006/12/22 · openalex publication_date 2007/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by recent graphene transport experiments, we undertake a numerical study of the conductivity of disordered two-dimensional massless Dirac fermions. Our results reveal distinct differences between the cases of short-range and Coulomb randomly distributed scatterers. We speculate that this behavior is related to the Boltzmann transport theory prediction of dirty-limit behavior for Coulomb scatterers.

Citations

• Sub-Poissonian Shot Noise in Graphene
• Berry's Phase and Absence of Back Scattering in Carbon Nanotubes
• Band Structure of Graphite
• Molti passi avanti ma resta da fare una lunga strada
• Electric Field Effect in Atomically Thin Carbon Films
• Quantum Hall Ferromagnetism in Graphene
• Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System
• Zitterbewegung, chirality, and minimal conductivity in graphene

Cited by

• Origin of spatial charge inhomogeneity in graphene
• Coulomb Impurity Problem in Graphene
• Topological Delocalization of Two-Dimensional Massless Dirac Fermions
• Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field
• Approaching the Dirac Point in High-Mobility Multilayer Epitaxial Graphene
• Voltage and temperature dependencies of conductivity in gated graphene
• Graphene via largeN: A renormalization group study
• Models of Electron Transport in Single Layer Graphene
• Electric transport and magnetic properties in multilayer graphene
• Electric transport theory of Dirac fermions in graphene
• Impurity scattering and Mott’s formula in graphene
• Thermoelectric power of Dirac fermions in graphene
• Screening of Coulomb Impurities in Graphene
• Quantum Criticality and Minimal Conductivity in Graphene with Long-Range Disorder
• Nonlinear electromagnetic response of graphene: frequency multiplication and the self-consistent-field effects
• Minimal conductivity in graphene: Interaction corrections and ultraviolet anomaly
• Diamagnetism in disordered graphene
• Electron interaction-driven insulating ground state in Bi2Se3topological insulators in the two-dimensional limit
• Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
• Narrow depression in the density of states at the Dirac point in disordered graphene
• Kohn-Luttinger superconductivity in graphene
• Pseudodiffusive magnetotransport in graphene
• Weak Antilocalization in Epitaxial Graphene: Evidence for Chiral Electrons
• Slow imbalance relaxation and thermoelectric transport in graphene
• Phase-Coherent Transport in Graphene Quantum Billiards
• Unconventional Quasiparticle Lifetime in Graphene
• Transport in chemically doped graphene in the presence of adsorbed molecules
• Coulomb drag as a measure of trigonal warping in doped graphene
• Andreev reflection in bilayer graphene
• Spin-dependent Seebeck effect and spin caloritronics in magnetic graphene
• Resonant low-energy electron scattering on short-range impurities in graphene
• Screening of a hypercritical charge in graphene
• Electronic properties close to Dirac cone in two-dimensional organic conductor α-(BEDT-TTF)2I3
• Carrier Transport in Two-Dimensional Graphene Layers
• Substrate-limited electron dynamics in graphene
• One-Parameter Scaling at the Dirac Point in Graphene
• Minimum Electrical and Thermal Conductivity of Graphene: A Quasiclassical Approach
• Universal scaling of current fluctuations in disordered graphene
• Integrating functional oxides with graphene
• Conductivity of suspended graphene at the Dirac point
• Influence of Disorder on Electron-Hole Pair Condensation in Graphene Bilayers
• Graphene as an electronic membrane
• Numerical studies of conductivity and Fano factor in disordered graphene
• Quantum Statistical Transport Phenomena in Memristive Computing Architectures
• Orientation dependence of the optical spectra in graphene at high frequencies
• Single-particle relaxation time versus transport scattering time in a two-dimensional graphene layer
• Hund's rules for theN=0Landau levels of trilayer graphene
• Skyrmion-induced anomalous Hall conductivity on topological insulator surfaces
• Conductivity of suspended and non-suspended graphene at finite gate voltage
• Hydrodynamics of electrons in graphene
• Hydrodynamic theory of transport in doped graphene
• Quantum-critical relativistic magnetotransport in graphene
• Giant Edelstein effect in topological-insulator–graphene heterostructures