Universal suppression of superfluid weight by disorder independent of quantum geometry and band dispersion

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. 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.

5 pages + Supplemental Material, contains link to data repository

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Cited by in corpus (7)

• Nontrivial quantum geometry of degenerate flat bands
• Isolated flat bands in 2D lattices based on a novel path-exchange symmetry
• Functional approach to superfluid stiffness: Role of quantum geometry in unconventional superconductivity
• Superconducting junctions with flat bands
• Quenched disorder and the BCS-BEC crossover in the Hubbard model
• Gaplessness from disorder and quantum geometry in gapped superconductors
• Superfluid weight in disordered flat-band superconductors as a competition between localization functionals