Role of Spatial Amplitude Fluctuations in Highly Disordered s-Wave Superconductors

Details Role of Spatial Amplitude Fluctuations in Highly Disordered s-Wave Superconductors Role of Spatial Amplitude Fluctuations in Highly Disordered s-Wave Superconductors

1998-06-04

arxiv.org/abs/cond-mat/9806060v2

Physics

Condensed Matter

Superconductivity

4 pages, 5 postscript figures, RevTex Final version to appear in PRL; expanded analysis of phase fluctuations and comparison w

Scientific paper

10.1103/PhysRevLett.81.3940

The effect of non-magnetic impurities on 2D s-wave superconductors is studied beyond the weak disorder regime. Within the Bogoliubov-de Gennes (BdG) framework, the local pairing amplitude develops a broad distribution with significant weight near zero with increasing disorder. Surprisingly, the density of states continues to show a finite spectral gap. The persistence of the spectral gap at large disorder is shown to arise from the break up of the system into superconducting "islands". Superfluid density and off-diagonal correlations show a substantial reduction at high disorder.A simple analysis of phase fluctuations in the highly inhomogeneous BdG state is shown to lead to a transition to a non-superconducting state.

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