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arXiv · 1011.2002

Surface density of states and topological edge states in non-centrosymmetric superconductors

Abstract

We study Andreev bound state (ABS) and surface density of state (SDOS) of non-centrosymmetric superconductor where spin-singlet $d$-wave pairing mixes with spin-triplet $p$ (or $f)$-wave one by spin-orbit coupling. For $d_{xy} + p$-wave pairing, ABS appears as a zero energy state. The present ABS is a Majorana edge mode preserving the time reversal symmetry. We calculate topological invariant number and discuss the relevance to a single Majorana edge mode. In the presence of the Majorana edge mode, the SDOS depends strongly on the direction of the Zeeman field.

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Keiji Yada, Masatoshi Sato, Yukio Tanaka, Takehito Yokoyama. 2010-11-09. Surface density of states and topological edge states in non-centrosymmetric superconductors. https://doi.org/10.1103/physrevb.83.064505

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