Superconductivity-Induced Anderson Localisation

(2) School of Physics; Chemistry; C.J. Lambert (2) ((1) Department of Physics; D.E. Katsanos (1); Greece; Lancaster University; S.N. Evangelou (1); U.K.); University of Ioannina

arxiv: cond-mat/9707150 · v1 · pith:BZDRVEZHnew · submitted 1997-07-15 · ❄️ cond-mat.supr-con · cond-mat.mes-hall

Superconductivity-Induced Anderson Localisation

D.E. Katsanos (1) , S.N. Evangelou (1) , C.J. Lambert (2) ((1) Department of Physics , University of Ioannina , Greece , (2) School of Physics , Chemistry , Lancaster University

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classification ❄️ cond-mat.supr-con cond-mat.mes-hall

keywords localizationandersonorderparameterrandomstatesabovebars

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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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Superconductivity-Induced Anderson Localisation

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