Localization in a magnetic field: Tight binding model with one-half of a flux quantum per plaquette

Matthew P.A. Fisher, Eduardo Fradkin

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)457-471
Number of pages15
JournalNuclear Physics, Section B
Volume251
Issue numberC
DOIs
StatePublished - 1985

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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