### Abstract

We establish the Berry-phase formulas for the angular momentum (AM) and the Hall viscosity (HV) to investigate chiral superconductors (SCs) in two and three dimensions. The AM is defined by the temporal integral of the antisymmetric momentum current induced by an adiabatic deformation, while the HV is defined by the symmetric momentum current induced by the symmetric torsional electric field. Without suffering from the system size or geometry, we obtain the macroscopic AM Lz=mN0/2 at zero temperature in full-gap chiral SCs, where m is the magnetic quantum number and N0 is the total number of electrons. We also find that the HV is equal to half the AM at zero temperature not only in full-gap chiral SCs as is well known but also in nodal ones, but its behavior at finite temperature is different in the two cases.

Original language | English |
---|---|

Article number | 134510 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 90 |

Issue number | 13 |

DOIs | |

Publication status | Published - 2014 Oct 14 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*90*(13), [134510]. https://doi.org/10.1103/PhysRevB.90.134510

**Bulk angular momentum and Hall viscosity in chiral superconductors.** / Shitade, Atsuo; Kimura, Taro.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 90, no. 13, 134510. https://doi.org/10.1103/PhysRevB.90.134510

}

TY - JOUR

T1 - Bulk angular momentum and Hall viscosity in chiral superconductors

AU - Shitade, Atsuo

AU - Kimura, Taro

PY - 2014/10/14

Y1 - 2014/10/14

N2 - We establish the Berry-phase formulas for the angular momentum (AM) and the Hall viscosity (HV) to investigate chiral superconductors (SCs) in two and three dimensions. The AM is defined by the temporal integral of the antisymmetric momentum current induced by an adiabatic deformation, while the HV is defined by the symmetric momentum current induced by the symmetric torsional electric field. Without suffering from the system size or geometry, we obtain the macroscopic AM Lz=mN0/2 at zero temperature in full-gap chiral SCs, where m is the magnetic quantum number and N0 is the total number of electrons. We also find that the HV is equal to half the AM at zero temperature not only in full-gap chiral SCs as is well known but also in nodal ones, but its behavior at finite temperature is different in the two cases.

AB - We establish the Berry-phase formulas for the angular momentum (AM) and the Hall viscosity (HV) to investigate chiral superconductors (SCs) in two and three dimensions. The AM is defined by the temporal integral of the antisymmetric momentum current induced by an adiabatic deformation, while the HV is defined by the symmetric momentum current induced by the symmetric torsional electric field. Without suffering from the system size or geometry, we obtain the macroscopic AM Lz=mN0/2 at zero temperature in full-gap chiral SCs, where m is the magnetic quantum number and N0 is the total number of electrons. We also find that the HV is equal to half the AM at zero temperature not only in full-gap chiral SCs as is well known but also in nodal ones, but its behavior at finite temperature is different in the two cases.

UR - http://www.scopus.com/inward/record.url?scp=84908032361&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84908032361&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.90.134510

DO - 10.1103/PhysRevB.90.134510

M3 - Article

AN - SCOPUS:84908032361

VL - 90

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 13

M1 - 134510

ER -