Bulk angular momentum and Hall viscosity in chiral superconductors

Atsuo Shitade, Taro Kimura

Research output: Contribution to journalArticle

17 Citations (Scopus)

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 languageEnglish
Article number134510
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume90
Issue number13
DOIs
Publication statusPublished - 2014 Oct 14
Externally publishedYes

Fingerprint

Angular momentum
Superconducting materials
angular momentum
Viscosity
viscosity
Induced currents
Momentum
momentum
Temperature
quantum numbers
temperature
Electric fields
Geometry
electric fields
Electrons
geometry
electrons

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 90, No. 13, 134510, 14.10.2014.

Research output: Contribution to journalArticle

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