Universal suppression of superfluid weight by non-magnetic disorder in $s$-wave superconductors independent of quantum geometry and band dispersion
Alexander Lau, Sebastiano Peotta, Dmitry I. Pikulin, Enrico Rossi, Timo Hyart
SciPost Phys. 13, 086 (2022) · published 7 October 2022
- doi: 10.21468/SciPostPhys.13.4.086
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Abstract
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 quantum 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. 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.
Cited by 2
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Alexander Lau,
- 2 Sebastiano Peotta,
- 3 Dmitry Pikulin,
- 4 Enrico Rossi,
- 1 2 Timo Hyart
- 1 Polska Akademia Nauk / Polish Academy of Sciences [PAN]
- 2 Aalto-Universitetet / Aalto University
- 3 Microsoft
- 4 College of William & Mary [W&M]