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One-dimensional Surface Bound States in d-wave Superconductors

Dirk K. Morr·Eugene Demler
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Abstract

We present an {\it exact} quantum theory for the bound states in the vicinity of an edge or a line of impurities in a $d_{x^2-y^2}$ superconductor. For a (110)-surface we show that a finite dispersion of the one dimensional band of bound states leads to a two peak structure in the density of states (DOS). We study the effect of an applied magnetic field and a subdominant $id_{xy}$ order parameter on the DOS and discuss the implications of our results for tunneling experiments.

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Dirk K. Morr, Eugene Demler. 2000-10-28. One-dimensional Surface Bound States in d-wave Superconductors. https://arxiv.org/abs/cond-mat/0010460

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