Unconventional superconductivity from weak coupling

Matteo Dürrnagel, Jacob Beyer, Ronny Thomale and Tilman Schwemmer ()
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Matteo Dürrnagel: University of Würzburg
Jacob Beyer: University of Würzburg
Ronny Thomale: University of Würzburg
Tilman Schwemmer: University of Würzburg

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 7, 1-23

Abstract: 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

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00371-4

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