Dresden 2026 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 93: Superconductivity – Poster II
TT 93.13: Poster
Donnerstag, 12. März 2026, 18:00–20:00, P4
Statistics of the local spectral gap and order parameter in disordered superconducting films — Johannes Dieplinger1, Animesh Panda1, •Arpan Das1, Ferdinand Evers1, and Matthias Stosiek2,3 — 1Institute of Theoretical Physics, University of Regensburg, Universitaetsstrasse 31, 93053 Regensburg, Germany — 2Department of Applied Physics, Aalto University, Otakaari 24, 02150 Espoo, Finland — 3Physics Department, Technical University of Munich, James-Frank-Str. 1, 85748 Garching, Germany
The disorder-tuned superconductor-insulator transition has been a widely studied phenomenon that highlights the interplay between superconductivity and disorder. Local fluctuations in superconducting observables are crucial for understanding related effects, such as superconducting islands and the disorder-induced enhancement of the critical temperature. Using a self-consistent Bogoliubov-de Gennes Hamiltonian, we present a study of 2D disordered superconductors, focusing on the statistics of the local spectral gap and the local order parameter. We emphasise the fact that the similarity of three energy scales - the spectral gap Eg, the order parameter Δ, and the critical temperature Tc - is a peculiarity of clean superconductors. For instance, in the presence of disorder, the mean-field Tc can increase, while the mean ⟨Δ(T=0)⟩ might even decrease. Further, we analyse the flow of the distribution functions of the local order parameter and the local spectral gap as disorder changes. At large disorder, the flow of the (mean-field) distribution functions exhibits a percolation-type transition that appears to have gone unnoticed so far.
Keywords: Superconductivity; Disorder; Quantum criticality; Thin-films; Statistics