Quantum interference in nested d-wave superconductors: a real-space perspective

Abstract

We study the local density of states around potential scatterers in d-wave superconductors, and show that quantum interference between impurity states is not negligible for experimentally relevant impurity concentrations. The two impurity model is used as a paradigm to understand these effects analytically and in interpreting numerical solutions of the Bogoliubov-de Gennes equations on fully disordered systems. We focus primarily on the globally particle-hole symmetric model which has been the subject of considerable controversy, and give evidence that a zero-energy delta function exists in the DOS. The anomalous spectral weight at zero energy is seen to arise from resonant impurity states belonging to a particular sublattice, exactly as in the 2-impurity version of this model. We discuss the implications of these findings for realistic models of the cuprates.

arXiv comment12 pages, 10 figs, submitted to Phys. Rev. B

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• Simulating Superconducting Properties of Overdoped Cuprates: the Role of Inhomogeneity
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• Quantum Interference of Impurity Bound States in Bi${}_2$Sr${}_2$Ca(Cu${}_{1-x}$Zn${}_x$)${}_2$O${}_{8+\delta }$ Probed by Scanning Tunneling Spectroscopy
• Quasiparticle scattering interference in cuprate superconductors
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