One-dimensional Surface Bound States in d-wave Superconductors

Details One-dimensional Surface Bound States in d-wave Superconductors One-dimensional Surface Bound States in d-wave Superconductors

2000-10-28

arxiv.org/abs/cond-mat/0010460v1

Physics

Condensed Matter

Superconductivity

4 pages, figures 2 and 3 are in color

Scientific paper

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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