Topological delocalization of two-dimensional massless Dirac fermions

Abstract

The beta function of a two-dimensional massless Dirac Hamiltonian subject to a random scalar potential, which e.g., underlies the theoretical description of graphene, is computed numerically. Although it belongs to, from a symmetry standpoint, the two-dimensional symplectic class, the beta function monotonically increases with decreasing $g$. We also provide an argument based on the spectral flows under twisting boundary conditions, which shows that none of states of the massless Dirac Hamiltonian can be localized.

4 pages, 2 figures

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• Aharonov-Bohm oscillations in disordered topological insulator nanowires
• Slow imbalance relaxation and thermoelectric transport in graphene
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• Quantum-critical relativistic magnetotransport in graphene
• Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
• Ground-state of graphene in the presence of random charged impurities
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• Conductivity and Fano factor in disordered graphene
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• Crossover from quantum to Boltzmann transport in graphene
• Coulomb interaction in graphene: Relaxation rates and transport
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Effective medium theory for disordered two-dimensional graphene
• Anderson localization of electron states in graphene in different types of disorder
• Ballistic transport in disordered graphene
• Finite difference method for transport properties of massless Dirac fermions
• Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field
• Finite Conductivity Minimum in Bilayer Graphene without Charge Inhomogeneities
• Anderson Transition in Disordered Graphene
• Calculation of the conductance of a graphene sheet using the Chalker-Coddington network model
• Valley polarization effects on the localization in graphene Landau levels
• Electron delocalization in bilayer graphene induced by an electric field
• Dirac fermions in a power-law-correlated random vector potential
• The effects of disorder and interactions on the Anderson transition in doped Graphene
• Disorder-induced pseudodiffusive transport in graphene nanoribbons
• Optical Hall conductivity in 2DEG and graphene QHE systems
• Full counting statistics in disordered graphene at Dirac point: From ballistics to diffusion