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TT: Fachverband Tiefe Temperaturen
TT 36: Superconductivity: Theory I
TT 36.13: Talk
Wednesday, March 20, 2024, 12:45–13:00, H 3005
Singlet-Triplet Mixing, Topological Superconductivity and Topological Phase Transitions in the Triangular-Lattice Rashba Hubbard model — •Matthew Bunney1,2, Jacob Beyer1,2,3,4, Carsten Honerkamp2,3, and Stephan Rachel1 — 1School of Physics, University of Melbourne, Parkville, VIC 3010, Australia — 2Institute for Theoretical Solid State Physics, RWTH Aachen University, 52062 Aachen, Germany — 3JARA Fundamentals of Future Information Technology, 52062 Aachen, Germany — 4Institute for Theoretical Physics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany
The superconducting phase diagram of the triangular-lattice Rashba Hubbard model in the absence of spin-orbit coupling features at very low fillings triplet superconductivity but otherwise singlet d-wave superconductivity, ubiquitous on two-dimensional hexagonal lattices. In the presence of spin-orbit coupling, the mixing of singlet and triplet pairings can be analysed within truncated-unity functional renormalization group (TU-FRG). By combining group theoretical arguments with extensive TU-FRG simulations, we show that a phase with two-dimensional E2 irrep prevails. However, by analysing the TU-FRG results further, we find that this phase splits into various topological superconducting phases, separated by topological phase boundaries. Our work positions TU-FRG as a method which can resolve structure within the otherwise uniform many-electron phases.
Keywords: rashba spin-orbit coupling; functional renormalization group; topological superconductors