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Phys. Rev. Lett. 61, 2015–2018 (1988)

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

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F. D. M. Haldane
Department of Physics, University of California, San Diego, La Jolla, California 92093

Received 16 September 1987; published in the issue dated 31 October 1988

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.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.61.2015
DOI:
10.1103/PhysRevLett.61.2015
PACS:
05.30.Fk, 11.30.Rd