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Unconventional superconductivity from weak coupling

Author

Listed:
  • Matteo Dürrnagel

    (University of Würzburg)

  • Jacob Beyer

    (University of Würzburg
    RWTH Aachen University
    University of Melbourne)

  • Ronny Thomale

    (University of Würzburg)

  • Tilman Schwemmer

    (University of Würzburg)

Abstract

We develop a joint formalism and numerical framework for analyzing the superconducting instability of metals from a weak coupling perspective. This encompasses the Kohn–Luttinger formulation of weak coupling renormalization group for superconductivity as well as the random phase approximation imposed on the diagrammatic expansion of the two-particle Green’s function. The central quantity to resolve is the effective interaction in the Cooper channel, for which we develop an optimized numerical framework. Our code is capable of treating generic multi-orbital models in two as well as three spatial dimensions and, in particular, arbitrary avenues of spin-orbit coupling. Graphic abstract

Suggested Citation

  • Matteo Dürrnagel & Jacob Beyer & Ronny Thomale & Tilman Schwemmer, 2022. "Unconventional superconductivity from weak coupling," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(7), pages 1-23, July.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:7:d:10.1140_epjb_s10051-022-00371-4
    DOI: 10.1140/epjb/s10051-022-00371-4
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    References listed on IDEAS

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    1. Jacob Beyer & Jonas B. Profe & Lennart Klebl, 2022. "Reference results for the momentum space functional renormalization group," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(4), pages 1-18, April.
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    Cited by:

    1. Carsten Honerkamp & Dante M. Kennes & Volker Meden & Michael M. Scherer & Ronny Thomale, 2022. "Recent developments in the functional renormalization group approach to correlated electron systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(12), pages 1-3, December.

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    1. Carsten Honerkamp & Dante M. Kennes & Volker Meden & Michael M. Scherer & Ronny Thomale, 2022. "Recent developments in the functional renormalization group approach to correlated electron systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(12), pages 1-3, December.

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