Abstract.
We investigate localization behavior of quasiparticles in disordered multi-plane superconductors with s-wave pairing. By introducing disorder with random site energies, the spatial fluctuations of Bogoliubov-de Gennes pairing potential are self-consistently determined. The size dependence of rescaled localization length for a long bar is calculated by using the transfer-matrix method. From the finite-size scaling analysis we show that there exists a critical point of the disorder strength Wc which separates the extended and localized quasiparticle states in such quasi-two-dimensional systems. The associated critical behavior is studied and the relationship of the results to the number of planes is discussed.
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Qin, ZJ., Xiong, SJ. Delocalization of quasiparticles in quasi-two-dimensional disordered superconductors with s-wave pairing. Eur. Phys. J. B 46, 325–329 (2005). https://doi.org/10.1140/epjb/e2005-00256-6
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DOI: https://doi.org/10.1140/epjb/e2005-00256-6