Vanishing edge currents in non-p-wave topological chiral superconductors

Wen Huang, Edward Taylor, and Catherine Kallin
Phys. Rev. B 90, 224519 – Published 19 December 2014

Abstract

The edge currents of two-dimensional topological chiral superconductors with nonzero Cooper pair angular momentum—e.g., chiral p-, d-, and f-wave superconductivity—are studied. Bogoliubov–de Gennes and Ginzburg-Landau calculations are used to show that in the continuum limit, only chiral p-wave states have a nonzero edge current. Outside this limit, when lattice effects become important, edge currents in non-p-wave superconductors are comparatively smaller, but can be nonzero. Using Ginzburg-Landau theory, a simple criterion is derived for when edge currents vanish for non-p-wave chiral superconductivity on a lattice. The implications of our results for putative chiral superconductors such as Sr2RuO4 and UPt3 are discussed.

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  • Received 1 October 2014
  • Revised 5 December 2014

DOI:https://doi.org/10.1103/PhysRevB.90.224519

©2014 American Physical Society

Authors & Affiliations

Wen Huang1, Edward Taylor1, and Catherine Kallin1,2

  • 1Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, Canada L8S 4M1
  • 2Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8

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Issue

Vol. 90, Iss. 22 — 1 December 2014

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