### Abstract

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 language | English |
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Article number | 125137 |

Journal | Physical Review B |

Volume | 95 |

Issue number | 12 |

DOIs | |

Publication status | Published - 2017 Mar 31 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Physical Review B*,

*95*(12), [125137]. https://doi.org/10.1103/PhysRevB.95.125137

**Kinetic derivation of generalized phase space Chern-Simons theory.** / Hayata, Tomoya; Hidaka, Yoshimasa.

Research output: Contribution to journal › Article

*Physical Review B*, vol. 95, no. 12, 125137. https://doi.org/10.1103/PhysRevB.95.125137

}

TY - JOUR

T1 - Kinetic derivation of generalized phase space Chern-Simons theory

AU - Hayata, Tomoya

AU - Hidaka, Yoshimasa

PY - 2017/3/31

Y1 - 2017/3/31

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85016933817&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85016933817&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.95.125137

DO - 10.1103/PhysRevB.95.125137

M3 - Article

AN - SCOPUS:85016933817

VL - 95

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 2469-9950

IS - 12

M1 - 125137

ER -