Topological delocalization of two-dimensional massless Dirac fermions

Details Topological delocalization of two-dimensional massless Dirac fermions Topological delocalization of two-dimensional massless Dirac fermions

2007-05-11

arxiv.org/abs/0705.1607v2

Phys. Rev. Lett. 99, 146806 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.99.146806

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.

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