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

Wen Huang, Edward Taylor, Catherine Kallin

DOI 10.1103/PhysRevB.90.224519 · Physical Review B

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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.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
Sr2RuO4

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—Pressure not reportedunknown
UPt3

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—Pressure not reportedunknown
NaxCoO2*yH2O

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—Pressure not reportedunknown
SrPtAs

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—Pressure not reportedunknown

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