Surface states of noncentrosymmetric superconductors

Philip Brydon

Technical University Dresden, Theoretical Physics Institute, Condensed Matter Theory, Dresden, Germany

It has recently been pointed out that nodal noncentrosymmetric superconductors are topologically non-trivial, with the nodal rings possessing a non-zero topological charge [1]. In these systems a bulk-boundary correspondence can be developed, which guarantees the existence of a flat band of singly degenerate zero-energy states within the projection of the nodal lines onto the surface Brillouin zone. Using the quasiclassical method [2,3], we present results for the surface bound state spectra, and provide a condition for the existence of the zero-energy states in terms of the sign of the gaps. The zero-energy surface states are shown to leave distinct signatures in the tunneling conductance, which can be used as an experimental test of the order parameter symmetry.

[1] A. P. Schnyder and S. Ryu, Phys. Rev. B 84, 060504(R) (2011).
[2] P. M. R. Brydon, A. P. Schnyder, and C. Timm, Phys. Rev. B 84, 020501(R) (2011).
[3] A. P. Schnyder, P. M. R. Brydon, and C. Timm, Phys. Rev B 85, 024522 (2012).

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