Chiral vortical effect in relativistic and nonrelativistic systems

Atsuo Shitade, Kazuya Mameda, Tomoya Hayata

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We formulate the chiral vortical effect (CVE) and its generalization called generalized vortical effect using the semiclassical theory of wave packet dynamics. We take the spin-vorticity coupling into account and calculate the transport charge current by subtracting the magnetization one from the Noether local one. We find that the transport charge current in the CVE always vanishes in relativistic chiral fermions. This result implies that it cannot be observed in transport experiments in condensed matter systems such as Dirac/Weyl semimetals with the pseudo-Lorentz symmetry. We also demonstrate that the anisotropic CVE can be observed in nonrelativistic systems that belong to the point groups Dn,Cn(n=2,3,4,6), and C1, such as n-type tellurium.

Original languageEnglish
Article number205201
JournalPhysical Review B
Issue number20
Publication statusPublished - 2020 Nov 2

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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