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, and Chemistry, Lancaster University, U.K.)
TL;DR
This study investigates how random superconducting order parameters influence quasiparticle localization, revealing Anderson localization in two dimensions and a mobility edge in three dimensions, with universal critical behavior.
Contribution
It provides numerical evidence of Anderson localization effects induced by superconductivity and identifies universal critical exponents in different dimensions.
Findings
Anderson localization occurs in 2D systems.
A mobility edge is observed in 3D systems.
Critical behavior is universal for real and complex order parameters.
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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Taxonomy
TopicsQuantum, superfluid, helium dynamics · Advanced Chemical Physics Studies · Quantum chaos and dynamical systems