Regensburg 2022 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 1: Topology: Majorana Physics
TT 1.13: Vortrag
Montag, 5. September 2022, 13:00–13:15, H10
Symplectic topological Kondo effect — •Elio Koenig1, Jukka Vayrynen2, and Guangjie Li2 — 1Max-Planck-Institute for Solid State Research, Heisenbergstr. 1, 70569 Stuttgart, Germany — 2Purdue University, West Lafayette, IN 47907-2036, USA
The topological Kondo effect describes the stable, strongly coupled, non-Fermi liquid state obtained by screening a topological quantum dot, a so-called Majorana Cooper pair box, by means of external metallic leads. The symmetry group describing this exotic Kondo effect is the orthogonal group of rotations of real Majorana fermions. In this talk, I am going to present a symplectic topological Kondo effect, which, crucially, does not rely on the presence of Majorana modes. As I present in detail, this system can be implemented by coupling leads to a quantum dot consisting of a floating conventional s-wave superconductor coupled to spinful fermionic zero modes, as obtained e.g., in arrays of 1D topological insulators. Combining the solution of this problem at strong coupling with known results from Bethe Ansatz and conformal field theory demonstrates that this model harbors emergent anyonic excitations, including Fibonacci anyons, depending on the number of external leads. Importantly, the non-trivial physics is stable to anisotropies in the coupling to different leads.