Topological delocalization of two-dimensional massless dirac fermions

Kentaro Nomura, Mikito Koshino, Shinsei Ryu

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235 Scopus citations


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
Issue number14
StatePublished - Oct 5 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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