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Superconductivity-Induced Anderson Localisation

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.

preprint1997arXivOpen access
D. E. KatsanosS. N. EvangelouC. J. Lambert
cond-mat.mes-hallcond-mat.supr-con
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D. E. KatsanosS. N. EvangelouC. J. Lambert

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