TY - JOUR

T1 - Localization in a magnetic field

T2 - Tight binding model with one-half of a flux quantum per plaquette

AU - Fisher, Matthew P.A.

AU - Fradkin, Eduardo

N1 - Funding Information:
We are gratefutl o S. Duanea nd M. Stone for helpfuld iscussionsW. e especially thank A. Pruisken for many useful critical commentos f an early versiono f this paper.O ne of us (M.P.A.F.) is gratefufl or the supportb y Conoco and by AT&T Bell Laboratoriedsu ringthe courseo f this work. This work has been supportedin part by NationalS cienceF oundationgr antn o. DMR 81-17182.

PY - 1985

Y1 - 1985

N2 - The conduction properties of a two-dimensional tight-binding model with on-site disorder and an applied perpendicular magnetic field with precisely one-half of a magnetic flux quantum per plaquette are studied. A continuum hamiltonian is derived which enables the construction of a field theory for the diffusive modes. The field theory is shown to be in the universality class of the O(2n, 2n) O(2n) × (2n)(n → 0) non-linear σ-model implying that all the electronic states are localized. The system is shown to be related, via an analytic continuation, to a system of self-interacting fermions in 1 + 1 dimensions, in the n → 0 limit.

AB - The conduction properties of a two-dimensional tight-binding model with on-site disorder and an applied perpendicular magnetic field with precisely one-half of a magnetic flux quantum per plaquette are studied. A continuum hamiltonian is derived which enables the construction of a field theory for the diffusive modes. The field theory is shown to be in the universality class of the O(2n, 2n) O(2n) × (2n)(n → 0) non-linear σ-model implying that all the electronic states are localized. The system is shown to be related, via an analytic continuation, to a system of self-interacting fermions in 1 + 1 dimensions, in the n → 0 limit.

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U2 - 10.1016/0550-3213(85)90272-X

DO - 10.1016/0550-3213(85)90272-X

M3 - Article

AN - SCOPUS:0000608158

SN - 0550-3213

VL - 251

SP - 457

EP - 471

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - C

ER -