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Universal suppression of superfluid weight by non-magnetic disorder in $s$-wave superconductors independent of quantum geometry and band dispersion

by Alexander Lau, Sebastiano Peotta, Dmitry I. Pikulin, Enrico Rossi, Timo Hyart

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Timo Hyart · Alexander Lau
Submission information
Preprint Link: scipost_202208_00022v1  (pdf)
Code repository:
Data repository:
Date accepted: 2022-08-16
Date submitted: 2022-08-11 14:16
Submitted by: Lau, Alexander
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
Approaches: Theoretical, Computational


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.

Author comments upon resubmission

Dear Editor,

We would like to thank both Referees for taking the time to review our manuscript, for their positive assessment of our work, and for their helpful comments, which have helped us to improve our manuscript.

Below, we provide a list of changes and point-by-point responses to the Referees' reports. We are confident the changes in our manuscript are in line with the Referees’ suggestions and that our manuscript can now be published in SciPost Physics.

Alexander Lau, Sebastiano Peotta, Dmitry I. Pikulin, Enrico Rossi, and Timo Hyart

List of changes

* change of title
* new sentence in the abstract
* new section IX and new Fig. S9 in the Appendix
* change of symbols throughout the text

Published as SciPost Phys. 13, 086 (2022)

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