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Band geometry, Berry curvature and superfluid weight

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arxiv 1610.01803 v2 pith:QQYL2Z37 submitted 2016-10-06 cond-mat.supr-con cond-mat.quant-gas

Long Liang , Tuomas I. Vanhala , Sebastiano Peotta , Topi Siro , Ari Harju , Päivi Törmä This is my paper · ORCID
classification cond-mat.supr-concond-mat.quant-gas
keywords superfluidweighttheorygeometricattractiveberrycontributioncurvature
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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.

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  1. Effects of the Hubbard interaction on the quantum metric

    cond-mat.str-el 2024-12 conditional novelty 6.0 of 10

    On a fermionic Creutz ladder, the dressed quantum metric matches exact diagonalization results better than the generalized quantum metric, and Hubbard interactions suppress the quantum metric.

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