# Regensburg 2019 – wissenschaftliches Programm

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# TT: Fachverband Tiefe Temperaturen

## TT 11: Majorana Physics

### TT 11.8: Vortrag

### Montag, 1. April 2019, 17:15–17:30, H4

**Topological Mechanics from Supersymmetry** — •Jan Attig^{1}, Krishanu Roychowdhury^{2,3}, Michael Lawler^{2,4}, and Simon Trebst^{1} — ^{1}Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany — ^{2}Laboratory of Atomic And Solid State Physics, Cornell University, Ithaca, NY 14853, USA — ^{3}Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden — ^{4}Department of Physics, Binghamton University, Binghamton, NY, 13902, USA

In the field of topological mechanics, the identification of a mechanical system's rigidity matrix with an electronic tight-binding model allows to infer topological properties of the mechanical system from the associated electronic band structure. In this talk, I will provide a broader perspective on this relation by introducing an approach to systematically construct topological mechanical systems for an entire class of free Majorana fermion models through an exact supersymmetry (SUSY) that relates the bosonic (mechanical) and fermionic (e.g. electronic) degrees of freedom. As examples we discuss mechanical analogues of the Kitaev honeycomb model and of a second-order topological insulator with floppy corner modes. On a conceptual level, our SUSY construction naturally defines hitherto unexplored topological invariants for bosonic (mechanical) systems, such as bosonic Wilson loop operators that are formulated in terms of a SUSY-related fermionic Berry curvature.