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Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"

F. D. M. Haldane

  • Department of Physics, University of California, San Diego, La Jolla, California 92093

Phys. Rev. Lett. 61, 2015 – Published 31 October, 1988

DOI: https://doi.org/10.1103/PhysRevLett.61.2015

Abstract

A two-dimensional condensed-matter lattice model is presented which exhibits a nonzero quantization of the Hall conductance σxy in the absence of an external magnetic field. Massless fermions without spectral doubling occur at critical values of the model parameters, and exhibit the so-called "parity anomaly" of (2+1)-dimensional field theories.

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