Abstract
A two-dimensional condensed-matter lattice model is presented which exhibits a nonzero quantization of the Hall conductance ${\ensuremath{\sigma}}^{\mathrm{xy}}$ 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.
Keywords
PhysicsParity (physics)Condensed matter physicsFermionLandau quantizationMassless particleQuantization (signal processing)Quantum Hall effectMagnetic fieldAnomaly (physics)QuantumQuantum mechanicsStatistics
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Publication Info
- Year
- 1988
- Type
- article
- Volume
- 61
- Issue
- 18
- Pages
- 2015-2018
- Citations
- 5982
- Access
- Closed
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Cite This
F. D. M. Haldane
(1988).
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly".
Physical Review Letters
, 61
(18)
, 2015-2018.
https://doi.org/10.1103/physrevlett.61.2015
Identifiers
- DOI
- 10.1103/physrevlett.61.2015