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.

arXiv comment4 pages, 4 figures

References in corpus (17)

• Imaging the Effects of Individual Zinc Impurity Atoms on Superconductivity in Bi2Sr2CaCu2O8+delta
• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Quasiparticle Scattering Interference in High Temperature Superconductors
• An Electronic Model for $Co{O}_2$ layer based systems: Chiral RVB metal and Superconductivity
• Quasiparticle States near the Surface and the Domain Wall in a p_x\pm i p_y-Wave Superconductor
• Impurity-Induced Virtual Bound States in d-Wave Superconductors
• Spectral Properties of Quasiparticle Excitations Induced by Magnetic Moments in Superconductors
• Theory of Scanning Tunneling Microscopy Probe of Impurity States in a D-Wave Superconductor
• Superconductivity in CoO${}_2$ Layers and the Resonating Valence Bond Mean Field Theory of the Triangular Lattice t-J model
• Superconducting states in frustrating t-J model: A model connecting high-$T_c$ cuprates, organic conductors and Na${}_x$CoO${}_2$
• Instabilities of interacting electrons on the triangular lattice
• Possible spin triplet superconductivity in Na${}_x$CoO${}_2\cdot y$H${}_2$0
• Quantum Interference between Impurities: Creating Novel Many-Body States in s-wave Superconductors
• Mechanism of pseudogap probed by a local impurity
• Edge states and determination of pairing symmetry in superconducting Sr2RuO4
• Interplay of quantum magnetic and potential scattering around Zn or Ni impurity ions in superconducting cuprates
• Probing d-wave pairing correlations in the pseudogap regime of the cuprate superconductors via low-energy states near impurities

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