Bulk angular momentum and Hall viscosity in chiral superconductors

Atsuo Shitade and Taro Kimura
Phys. Rev. B 90, 134510 – Published 14 October 2014

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.

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  • Received 7 July 2014
  • Revised 23 September 2014

DOI:https://doi.org/10.1103/PhysRevB.90.134510

©2014 American Physical Society

Authors & Affiliations

Atsuo Shitade1 and Taro Kimura2,3

  • 1Department of Physics, Kyoto University, Kyoto 606-8502, Japan
  • 2Institut de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette, France
  • 3Mathematical Physics Laboratory, RIKEN Nishina Center, Saitama 351-0198, Japan

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Issue

Vol. 90, Iss. 13 — 1 October 2014

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