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Superconductivity-Induced Anderson Localisation

D. E. Katsanos·S. N. Evangelou·C. J. Lambert
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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.

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D. E. Katsanos, S. N. Evangelou, C. J. Lambert. 1997-07-15. Superconductivity-Induced Anderson Localisation. https://arxiv.org/abs/cond-mat/9707150

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