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Berry Connection from Many-Body Wave Functions and Superconductivity: Calculations by the Particle Number Conserving Bogoliubov-De Gennes Equations

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Abstract

A fundamentally revised version of superconductivity theory has been put forward since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision. The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations.

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Authors and Affiliations

  1. Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki, Japan

    Hiroyasu Koizumi

  2. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki, Japan

    Alto Ishikawa

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  1. Hiroyasu Koizumi
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  2. Alto Ishikawa
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Correspondence to Hiroyasu Koizumi.

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Koizumi, H., Ishikawa, A. Berry Connection from Many-Body Wave Functions and Superconductivity: Calculations by the Particle Number Conserving Bogoliubov-De Gennes Equations. J Supercond Nov Magn 34, 2795–2808 (2021). https://doi.org/10.1007/s10948-021-05991-y

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  • DOI: https://doi.org/10.1007/s10948-021-05991-y

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