Parity (and time-reversal) anomaly in a semiconductor

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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11 pages, 1 figure. Sign errors fixed

Scientific paper

10.1103/PhysRevB.62.16751

The physics of a parity anomaly, potentially observable in a narrow-gap semiconductor, is revisited. Fradkin, Dagotto, and Boyanovsky have suggested that a Hall current of anomalous parity can be induced by a Peierls distortion on a domain wall. I argue that a perturbation inducing the parity anomaly must break the time reversal symmetry, which rules out the Peierls distortion as a potential cause. I list all possible perturbations that can generate the anomaly.

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