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TT: Fachverband Tiefe Temperaturen

TT 63: Superconductivity: Theory

TT 63.2: Talk

Friday, March 31, 2023, 09:45–10:00, HSZ 103

Universal suppression of superfluid weight by non-magnetic disorder in s -wave superconductors independent of quantum geometry and band dispersion — •Alexander Lau1, Sebastiano Peotta2, Dmitry I. Pikulin3, Enrico Rossi4, and Timo Hyart1, 21MagTop, IF PAN, Warsaw, Poland — 2Aalto University, Finland — 3Microsoft Quantum, Redmond, USA — 4William & Mary, Williamsburg, USA

Motivated by the experimental progress in controlling the properties of the energy bands in superconductors, significant theoretical efforts have been devoted to study the effect of the quantum geometry and the flatness of the dispersion on the superfluid weight. In conventional superconductors, where the energy bands are wide and the Fermi energy is large, the contribution due to the quantum geometry is negligible, but in the opposite limit of flat-band superconductors the superfluid weight originates purely from the quan- tum geometry of Bloch wave functions. Here, we study how the energy band dispersion and the quantum geometry affect the disorder-induced suppression of the superfluid weight [1]. In particular, we consider non-magnetic disorder and s -wave superconductivity. Surprisingly, we find that the disorder-dependence of the superfluid weight is universal across a variety of models, and independent of the quantum geometry and the flatness of the dispersion. Our results suggest that a flat-band superconductor is as resilient to disorder as a conventional superconductor.
[1] SciPost Phys. 13, 086 (2022)

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