@article{ElsterPlattThomaleetal.2015, author = {Elster, Lars and Platt, Christian and Thomale, Ronny and Hanke, Werner and Hankiewicz, Ewelina M.}, title = {Accessing topological superconductivity via a combined STM and renormalization group analysis}, series = {Nature Communications}, volume = {6}, journal = {Nature Communications}, number = {8232}, doi = {10.1038/ncomms9232}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-148181}, year = {2015}, abstract = {The search for topological superconductors has recently become a key issue in condensed matter physics, because of their possible relevance to provide a platform for Majorana bound states, non-Abelian statistics, and quantum computing. Here we propose a new scheme which links as directly as possible the experimental search to a material-based microscopic theory for topological superconductivity. For this, the analysis of scanning tunnelling microscopy, which typically uses a phenomenological ansatz for the superconductor gap functions, is elevated to a theory, where a multi-orbital functional renormalization group analysis allows for an unbiased microscopic determination of the material-dependent pairing potentials. The combined approach is highlighted for paradigmatic hexagonal systems, such as doped graphene and water-intercalated sodium cobaltates, where lattice symmetry and electronic correlations yield a propensity for a chiral singlet topological superconductor. We demonstrate that our microscopic material-oriented procedure is necessary to uniquely resolve a topological superconductor state.}, language = {en} } @article{DuerrnagelBeyerThomaleetal.2022, author = {D{\"u}rrnagel, Matteo and Beyer, Jacob and Thomale, Ronny and Schwemmer, Tilman}, title = {Unconventional superconductivity from weak coupling}, series = {The European Physical Journal B}, volume = {95}, journal = {The European Physical Journal B}, number = {7}, issn = {1434-6028}, doi = {10.1140/epjb/s10051-022-00371-4}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-325153}, year = {2022}, 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.}, language = {en} }