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Quantum-geometry-induced anapole superconductivity
Anapole superconductivity recently proposed for multiband superconductors Commun. Phys. \(\bm 5\), 39\ (2022) (at https://www.nature.com/articles/s42005-022-00804-7) is a key feature of time-reversal (\(\mathcal{T}\))-symmetry-broken polar superconductors. The anapole moment was shown to arise from...
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description | Anapole superconductivity recently proposed for multiband superconductors Commun. Phys. \(\bm 5\), 39\ (2022) (at https://www.nature.com/articles/s42005-022-00804-7) is a key feature of time-reversal (\(\mathcal{T}\))-symmetry-broken polar superconductors. The anapole moment was shown to arise from the asymmetric Bogoliubov spectrum, which induces a finite center of mass momenta of Cooper pairs at the zero magnetic field. In this paper, we show an alternative mechanism of anapole superconductivity: the quantum geometry induces the anapole moment when the interband pairing and Berry connection are finite. Thus, the anapole superconductivity is a ubiquitous feature of \(\mathcal{T}\)-broken multiband polar superconductors. Applying the theory to a minimal model of UTe\(_2\), we demonstrate the quantum-geometry-induced anapole superconductivity. Furthermore, we show the Bogoliubov Fermi surfaces (BFS) in an anapole superconducting state and predict an unusual temperature dependence of BFS due to the quantum geometry. Experimental verification of these phenomena may clarify the superconducting state in UTe\(_2\) and reveal the ubiquitous importance of quantum geometry in exotic superconductors. |
doi_str_mv | 10.48550/arxiv.2210.01399 |
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Phys. \(\bm 5\), 39\ (2022) (at https://www.nature.com/articles/s42005-022-00804-7) is a key feature of time-reversal (\(\mathcal{T}\))-symmetry-broken polar superconductors. The anapole moment was shown to arise from the asymmetric Bogoliubov spectrum, which induces a finite center of mass momenta of Cooper pairs at the zero magnetic field. In this paper, we show an alternative mechanism of anapole superconductivity: the quantum geometry induces the anapole moment when the interband pairing and Berry connection are finite. Thus, the anapole superconductivity is a ubiquitous feature of \(\mathcal{T}\)-broken multiband polar superconductors. Applying the theory to a minimal model of UTe\(_2\), we demonstrate the quantum-geometry-induced anapole superconductivity. Furthermore, we show the Bogoliubov Fermi surfaces (BFS) in an anapole superconducting state and predict an unusual temperature dependence of BFS due to the quantum geometry. Experimental verification of these phenomena may clarify the superconducting state in UTe\(_2\) and reveal the ubiquitous importance of quantum geometry in exotic superconductors.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2210.01399</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Cooper pairs ; Fermi surfaces ; Geometry ; Superconductivity ; Superconductors ; Temperature dependence</subject><ispartof>arXiv.org, 2023-03</ispartof><rights>2023. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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subjects | Cooper pairs Fermi surfaces Geometry Superconductivity Superconductors Temperature dependence |
title | Quantum-geometry-induced anapole superconductivity |
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