English

Superconductivity-Induced Anderson Localisation

Superconductivity 2016-08-31 v1 Mesoscale and Nanoscale Physics

Abstract

We have studied the effect of a random superconducting order parameter on the localization of quasi-particles, by numerical finite size scaling of the Bogoliubov-de Gennes tight-binding Hamiltonian. Anderson localization is obtained in d=2 and a mobility edge where the states localize is observed in d=3. The critical behavior and localization exponent are universal within error bars both for real and complex random order parameter. Experimentally these results imply a suppression of the electronic contribution to thermal transport from states above the bulk energy gap.

Keywords

Cite

@article{arxiv.cond-mat/9707150,
  title  = {Superconductivity-Induced Anderson Localisation},
  author = {D. E. Katsanos and S. N. Evangelou and C. J. Lambert},
  journal= {arXiv preprint arXiv:cond-mat/9707150},
  year   = {2016}
}

Comments

4 pages, revtex file, 3 postscript figures