Topological delocalization of two-dimensional massless dirac fermions

Kentaro Nomura, Mikito Koshino, Shinsei Ryu

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number146806
JournalPhysical review letters
Volume99
Issue number14
DOIs
StatePublished - Oct 5 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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