TY - JOUR
T1 - Topological delocalization of two-dimensional massless dirac fermions
AU - Nomura, Kentaro
AU - Koshino, Mikito
AU - Ryu, Shinsei
PY - 2007/10/5
Y1 - 2007/10/5
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.99.146806
DO - 10.1103/PhysRevLett.99.146806
M3 - Article
C2 - 17930701
AN - SCOPUS:35148851472
SN - 0031-9007
VL - 99
JO - Physical review letters
JF - Physical review letters
IS - 14
M1 - 146806
ER -