Model for a quantum hall effect without landau levels: Condensed-matter realization of the "parity anomaly"

Abstract

A two-dimensional condensed-matter lattice model is presented which exhibits a nonzero quantization of the Hall conductance xy 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. © 1988 The American Physical Society.