Impurity and interface bound states in $d_{x^2-y^2}+id_{xy}$ and $p_x+ip_y$ superconductors

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 $d_{x^{2} - y^{2}} + i d_{x y}$ 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.

Impurity and interface bound states in $d_{x^{2} - y^{2}} + i d_{x y}$ and $p_{x} + i p_{y}$ superconductors

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Impurity and interface bound states in $d_{x^{2} - y^{2}} + i d_{x y}$ and $p_{x} + i p_{y}$ superconductors

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Impurity and interface bound states in dx2−y2+idxydx2−y2​+idxy​ and px+ipypx​+ipy​ superconductors

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Impurity and interface bound states in dx2−y2+idxydx2−y2​+idxy​ and px+ipypx​+ipy​ superconductors

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Impurity and interface bound states in $d_{x^{2} - y^{2}} + i d_{x y}$ and $p_{x} + i p_{y}$ superconductors

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Impurity and interface bound states in $d_{x^{2} - y^{2}} + i d_{x y}$ and $p_{x} + i p_{y}$ superconductors

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AI智能校验