2020/10/31 by Lan-Lan Gao, Sahal Kaushik, Dmitri E. Kharzeev +2 · 14 citations
Mathematics · Physics and Astronomy · #Berry connection and curvature #Chiral anomaly #Classical mechanics #Condensed matter physics #Coordinate space #Curvature #Geometric phase #Geometry #Kinetic energy #Mathematics #Phase space #Physics #Position and momentum space #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Topological Materials and Phenomena #Torsion (gastropod) #cond-mat.mes-hall #hep-ph
paper · pdf · doi:10.1103/physrevb.104.064307
published in Physical review. B./Physical review. B 104(6) (American Physical Society)
openalex publication_date 2021/08/16 · arxiv created 2021/08/19 · arxiv updated 2021/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In Weyl semimetals subjected to torsion, there are two different kinds of chirality: (i) The (coordinate-space) shape of the twisted crystal is chiral and (ii) the momentum space contains chiral quasiparticles. Here we construct a general kinetic theory of anomalous transport using the phase space (coordinate and momentum spaces combined) Berry curvature induced by torsion in Weyl systems. We describe how torsion generates the chiral chemical potential and thus leads to the chiral magnetic effect (CME) in the presence of a background magnetic field. We propose to measure the CME current induced by the torsion as a way to detect the anomalous coupling between the coordinate-space and momentum-space chiralities.