Superconductivity in monolayer FeSe enhanced by quantum geometry

Abstract

We formulate the superfluid weight in unconventional superconductors with $\mathbf{k}$-dependent Cooper pair potentials based on the geometric properties of Bloch electrons. We apply the formula to a model of the monolayer FeSe obtained by the first-principles calculation. Our numerical calculations point to a significant enhancement of the Berezinskii-Kosterlitz-Thouless transition temperature due to the geometric contribution to the superfluid weight, which is not included in the Fermi liquid theory. The $\mathbf{k}$-dependence of the gap function also stabilizes the superconducting state. Our results reveal that the geometric properties of Bloch electrons play an essential role in superconducting materials and pave the way for clarifying hidden aspects of superconductivity from the viewpoint of quantum geometry.

17 pages (Main text: 6 pages; Supplemental Materials: 11 pages), 6 figures (Main text: 4 figures; Supplemental Materials: 2 figures)

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• Superfluid weight in the isolated band limit within the generalized random phase approximation
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• Quantum geometry encoded to pair potentials
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• Normal state quantum geometry, non-locality and superconductivity
• Revisiting flat band superconductivity: dependence on minimal quantum metric and band touchings