Eur. Phys. J. B 46, 325-329 (2005)
https://doi.org/10.1140/epjb/e2005-00256-6

Delocalization of quasiparticles in quasi-two-dimensional disordered superconductors with s-wave pairing

National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China

Corresponding author: ^a qin_zhijie@163.com

Received: 17 October 2004
Revised: 4 March 2005
Published online: 18 August 2005

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 W_c 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.