Unconventional superconductivity from weak coupling

The European Physical Journal B, vol. 95

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

Authors 4

1. Matteo Dürrnagel

   University of Würzburg

   Affiliation as printed

   Institute for Theoretical Physics, University of Würzburg, Würzburg, Germany

   Institute for Theoretical Physics, University of Würzburg, 97074, Würzburg, Germany

2. Jacob Beyer Aachen Institute for Theoretical Solid State Physics

   The University of Melbourne · University of Würzburg · RWTH Aachen University

   Affiliation as printed

   Institute for Theoretical Physics, University of Würzburg, Würzburg, Germany

   Institute for Theoretical Solid State Physics, RWTH Aachen University, Aachen, Germany

   School of Physics, University of Melbourne, Parkville, Australia

   Institute for Theoretical Physics, University of Würzburg, 97074, Würzburg, Germany

3. Ronny Thomale

   University of Würzburg

   Affiliation as printed

   Institute for Theoretical Physics, University of Würzburg, Würzburg, Germany

   Institute for Theoretical Physics, University of Würzburg, 97074, Würzburg, Germany

4. Tilman Schwemmer corresponding

   University of Würzburg

   Affiliation as printed

   Institute for Theoretical Physics, University of Würzburg, Würzburg, Germany

   Institute for Theoretical Physics, University of Würzburg, 97074, Würzburg, Germany