Band geometry, Berry curvature and superfluid weight
By Long Liang, T. Vanhala, S. Peotta, Topi Siro, Ari Harju, P. Torma. 2016
249 citations recorded by the source corpus.
We present a theory of the superfluid weight in multiband attractive Hubbard models within the Bardeen-Cooper-Schrieffer (BCS) mean-field framework. We show how to separate the geometric contribution to the superfluid weight from the conventional one, and that the geometric contribution is associated with the interband matrix elements of the current operator. Our theory can be applied to systems with or without time-reversal symmetry. In both cases the geometric superfluid weight can be related to the quantum metric of the corresponding noninteracting systems. This leads to a lower bound on the superfluid weight given by the absolute value of the Berry curvature. We apply our theory to the attractive Kane-Mele-Hubbard and Haldane-Hubbard models, which can be realized in ultracold atom gases. Quantitative comparisons are made to state of the art dynamical mean-field theory and exact diagonalization results.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/b807b1a94325c4702dfb2fd3692c179b9d71d73c
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Superconductivity, superfluidity and quantum geometry in twisted multilayer systems (2021, methodology): “Under these assumptions the superfluid weight can be written as the sum of two terms D s = D conv + D geom [6, 8].”