TY  - JOUR
A1  - Elster, Lars
A1  - Platt, Christian
A1  - Thomale, Ronny
A1  - Hanke, Werner
A1  - Hankiewicz, Ewelina M.
T1  - Accessing topological superconductivity via a combined STM and renormalization group analysis
JF  - Nature Communications
N2  - 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.
KW  - tunneling spectroscopy
KW  - Sr\(_2\)RuO\(_4\)
KW  - states
KW  - transition
KW  - insulators
KW  - surface
KW  - Majorana fermions
KW  - unconventional superconductivity
KW  - wave superconductors
Y1  - 2015
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-148181
VL  - 6
IS  - 8232
ER  - 
TY  - JOUR
A1  - Dürrnagel, Matteo
A1  - Beyer, Jacob
A1  - Thomale, Ronny
A1  - Schwemmer, Tilman
T1  - Unconventional superconductivity from weak coupling
JF  - The European Physical Journal B
N2  - 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.
KW  - superconducting instability
KW  - metals
KW  - weak coupling
KW  - unconventional superconductivity
Y1  - 2022
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-325153
SN  - 1434-6028
VL  - 95
IS  - 7
ER  -