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 |
|---|---|
| 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
Kinetic derivation of generalized phase space Chern-Simons theory. / Hayata, Tomoya; Hidaka, Yoshimasa.
In: Physical Review B, Vol. 95, No. 12, 125137, 31.03.2017.Research output: Contribution to journal › Article
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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 -