Anomalous Hall Effect for semiclassical chiral fermions

2014/09/15 by Pengming Zhang, Zhang, P. -M., P. A. Horváthy +1
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.1409.4225

openalex publication_date 2014/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Semiclassical chiral fermions manifest the anomalous spin-Hall effect: when put into a pure electric field they suffer a side jump, analogous to what happens to their massive counterparts in non-commutative mechanics. The transverse shift is consistent with the conservation of the angular momentum. In a pure magnetic field instead, spiraling motion is found. Motion in Hall-type perpendicular electric and magnetic fields is also studied.

Citations

• Berry phase effects on electronic properties

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