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Interplay of pairing correlation and Coulomb correlation in Boson exchange superconductors

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  • Koushik Mandal

    (S.N. Bose National Centre for Basic Sciences)

  • Ranjan Chaudhury

    (Ramakrishna Mission Vivekananda Educational and Research Institute)

Abstract

A theoretical methodology for exploring the conventional Bardeen–Cooper–Schrieffer (BCS) pairing instability for superconductivity from a correlated normal phase for all possible degrees of many-body correlation has been developed. The Gutzwiller projection scheme with a correlation parameter was made use of in generating the BCS pairing state. A variational scheme was thereafter implemented, leading to a self-consistent equation for superconducting gap function. This equation shows explicit dependence of the gap function on the many body correlation parameter. This ‘pairing-gap’ and the corresponding self-consistent gap equation in zero correlation limit, becomes identical in nature with those of the pure (1-well) BCS formalism, as expected and the Coulomb correlation affects the pairing significantly with the strength of correlation. The detailed consequences are being presented here. Graphic Abstract

Suggested Citation

  • Koushik Mandal & Ranjan Chaudhury, 2021. "Interplay of pairing correlation and Coulomb correlation in Boson exchange superconductors," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(2), pages 1-11, February.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:2:d:10.1140_epjb_s10051-021-00051-9
    DOI: 10.1140/epjb/s10051-021-00051-9
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