4.6 Article

Chiral kinetic theory of anomalous transport induced by torsion

Journal

PHYSICAL REVIEW B
Volume 104, Issue 6, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.064307

Keywords

-

Funding

  1. China Scholarship Council
  2. U.S. Department of Energy Office of Science [DE-SC0017662, DE-FG02-88ER40388, DESC0012704]
  3. U.S. Department of Energy (DOE) [DE-SC0017662] Funding Source: U.S. Department of Energy (DOE)

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A general kinetic theory of anomalous transport in Weyl systems was constructed using phase space Berry curvature induced by torsion, which describes the generation of chiral chemical potential and the chiral magnetic effect in the presence of a background magnetic field. Researchers proposed to measure the CME current induced by torsion as a way to detect the anomalous coupling between the coordinate-space and momentum-space chiralities.
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.

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