Dresden 2020 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 53: Topology: Majorana Physics

TT 53.9: Talk

Thursday, March 19, 2020, 11:45–12:00, HSZ 103

Minimal models of interacting Majorana modes — •Gergo Roosz, Carsten Timm, and Janna Rückert — TU Dresden

In this talk we investigate flat-band Majorana systems with plaquette interactions. At first the possible experimental realizations are briefly summarized. Then a mapping to quantum compass models is given. With the help of this mapping certain ladder systems can be solved exactly, we discuss here these integrable ladders. With the help of the integrable ladder systems, numerical exact diagonalization of small two dimensional systems and the representation theory of Clifford algebras we obtain the ground state degeneracy.