Topological Delocalization of Two-Dimensional Massless Dirac Fermions

2007/05/31 by Kentaro Nomura, Mikito Koshino, Shinsei Ryu · 8 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Noncommutative and Quantum Gravity Theories #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.99.146806

published as Phys. Rev. Lett. 99, 146806 (2007) · 4 pages, 2 figures

arxiv created 2007/08/17 · openalex publication_date 2007/10/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The beta function of a two-dimensional massless Dirac Hamiltonian subject to a random scalar potential, which, e.g., underlies theoretical descriptions 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 conductance. We also provide an argument based on the spectral flows under twisting boundary conditions, which shows that none of the states of the massless Dirac Hamiltonian can be localized.

Citations

• Quantum Transport of Massless Dirac Fermions
• Berry's Phase and Absence of Back Scattering in Carbon Nanotubes
• Molti passi avanti ma resta da fare una lunga strada
• Topological Insulators with Inversion Symmetry
• Electric Field Effect in Atomically Thin Carbon Films
• Time Reversal Polarization and a Z₂ Adiabatic Spin Pump
• Impurity Scattering in Carbon Nanotubes – Absence of Back Scattering –
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
• Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System

Cited by

• Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field
• Localization and the Kosterlitz-Thouless Transition in Disordered Graphene
• Graphene via largeN: A renormalization group study
• Universality of Anderson transition in two-dimensional systems of symplectic symmetry class
• Topological insulators and superconductors
• Ground State of Graphene in the Presence of Random Charged Impurities
• Electron interaction-driven insulating ground state in Bi2Se3topological insulators in the two-dimensional limit
• Slow imbalance relaxation and thermoelectric transport in graphene