Dresden 2017 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 53: Poster Session: Superconductivity 1

TT 53.5: Poster

Mittwoch, 22. März 2017, 15:00–19:00, P2-OG2

Properties of self-consistent random matrices: A Case study for the superconductor-insulator transition — •Matthias Stosiek and Ferdinand Evers — University of Regensburg, Germany

Our general interest is in the properties of ensembles of random Hamiltonians that satisfy a self-consistency property. Such ensembles typically appear in mean-field treatments of interacting systems. The example we here consider is the Superconductor Insulator Transition (SIT) where the superconducting gap is calculated self-consistently in the presence of short-range disorder. Our focus is on disordered films with conventional s-wave pairing that we study numerically employing the negative-U Hubbard model within the standard Bogoliubov-deGennes approximation. The general question that we would like to address here concerns the auto-correlation function of the pairing amplitude: How does it decay in real space and in what way does it change across the SIT? This poster presents our first (preliminary) results. We speculate that our research might have significant impact on the understanding of the SIT if it turns out that the pairing amplitude decays in a power-law fashion (with exponent below two) at the critical point.