English

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

Superconductivity 2009-11-10 v1 Disordered Systems and Neural Networks

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.

Keywords

Cite

@article{arxiv.cond-mat/0301630,
  title  = {Quantum interference in nested d-wave superconductors: a real-space perspective},
  author = {W. A. Atkinson and P. J. Hirschfeld and Lingyin Zhu},
  journal= {arXiv preprint arXiv:cond-mat/0301630},
  year   = {2009}
}

Comments

12 pages, 10 figs, submitted to Phys. Rev. B