Impurity and interface bound states in $d_{x^2-y^2}+i{d}_{xy}$ and $p_x+i{p}_y$ superconductors

Abstract

Motivated by recent discoveries of novel superconductors such as Na${}_x$CoO${}_2\cdot y$H${}_2$O and Sr${}_2$RuO${}_4$, we analysize features of quasi-particle scattering due to impurities and interfaces for possible gapful $d_{x^2-y^2}+i{d}_{xy}$ and $p_x+i{p}_y$ Cooper pairing. A bound state appears near a local impurity, and a band of bound states form near an interface. We obtained analytically the bound state energy, and calculated the space and energy dependent local density of states resolvable by high-resolution scanning tunnelling microscopy. For comparison we also sketch results of impurity and surface states if the pairing is nodal p- or d-wave.

4 pages, 4 figures

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