2000/09/30 by Oleg Tchernyshyov
Physics and Astronomy · #Anomaly (physics) #Condensed matter physics #Distortion (music) #Observable #Parity (physics) #Perturbation (astronomy) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor #Topological Materials and Phenomena #cond-mat.mes-hall #hep-ph
paper · pdf · doi:10.1103/physrevb.62.16751
published as Phys.Rev.B62:16751,2000 · 11 pages, 1 figure. Sign errors fixed
arxiv created 2000/10/30 · openalex publication_date 2000/12/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The physics of a parity anomaly, potentially observable in a narrow-gap semiconductor, is revisited. Fradkin, Dagotto, and Boyanovsky have suggested [Phys. Rev. Lett. 57, 2967 (1986)] 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.