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arXiv · 2112.02551

Revisiting Anderson-Higgs mechanism: application of Lieb-Schultz-Mattis theorem

Yasuhiro Tada
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Abstract

We consider an electron model of superconductivity on a three-dimensional lattice where there are on-site attractive Hubbard interaction and long-range repulsive Coulomb interaction. It is claimed that fully gapped $s$-wave superconductivity within this model, if present, exhibits spontaneous translation symmetry breaking possibly related to a charge order. Our discussions are based on an application of the Lieb-Schultz-Mattis theorem under some physical assumptions. The inconsistency between the proposed supersolid and experiments can impose some constraints on a reasonable choice of a theoretical model.

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Yasuhiro Tada. 2021-12-05. Revisiting Anderson-Higgs mechanism: application of Lieb-Schultz-Mattis theorem. https://doi.org/10.1088/1742-6596/2164/1/012020

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