Kinetic derivation of generalized phase space Chern-Simons theory

Tomoya Hayata, Yoshimasa Hidaka

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We study anomalous transport phenomena induced by phase space Berry curvature. For that purpose we construct a kinetic theory in 2d phase space when all Abelian Berry curvatures are nonzero. We derive anomalous currents by calculating the complete form of the Poisson brackets of phase space coordinates. Then we construct the low-energy effective theory to reproduce the anomalous currents obtained from the kinetic theory. Such an effective theory is given by the Chern-Simons theory in 1+2d dimensions. Some implications of the Chern-Simons theory are also discussed.

Original languageEnglish
Article number125137
JournalPhysical Review B
Issue number12
Publication statusPublished - 2017 Mar 31
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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