https://doi.org/10.1140/epjb/s10051-022-00371-4
Regular Article - Solid State and Materials
Unconventional superconductivity from weak coupling
A unified perspective on formalism and numerical implementation
1
Institute for Theoretical Physics, University of Würzburg, 97074, Würzburg, Germany
2
Institute for Theoretical Solid State Physics, RWTH Aachen University, 52056, Aachen, Germany
3
School of Physics, University of Melbourne, 3010, Parkville, VIC, Australia
Received:
17
January
2022
Accepted:
22
June
2022
Published online:
20
July
2022
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.
© The Author(s) 2022
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