Spontaneous surface current in multi-component cubic superconductors with time-reversal symmetry breaking

Abstract

In this work we present a comprehensive study of the spontaneous currents in time-reversal symmetry breaking (TRSB) multi-component superconductors with cubic crystalline symmetry. We argue, not limiting to cubic lattices, that spontaneous current on certain high-symmetry surfaces can exist only if the TRSB pairing simultaneously breaks a certain pair of mirror symmetries. This is shown to have exact correspondence with the Gingzburg-Landau (GL) theory and is verified by numerical Bogoliubov de-Gennes (BdG) calculations. In the course we extend the BdG to include effects of gap anisotropy and surface disorder, both of which could lead to a much suppressed current. The GL theory has been known to describe well the spontaneous current. However, we highlight a special case where it becomes less adequate, and show that a refined effective theory for low temperatures is needed. These results could shed light on the phenomenology of cubic superconductors such as U${}_{1-x}$Th${}_x$Be${}_{13}$, the filled skutterudites PrOs${}_4$Sb${}_{12}$, PrPt${}_4$Ge${}_{12}$ and related compounds.

arXiv comment7.5 pages + 6 figures

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• Edge current and orbital angular momentum of chiral superfluids revisited
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