One-dimensional Surface Bound States in d-wave Superconductors
  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. 
Dirk K. Morr (1) and Eugene Demler (2) ((1) Los Alamos National   Laboratory, (2) Harvard University)