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 Attig¹, Krishanu Roychowdhury^2,3, Michael Lawler^2,4, and Simon Trebst¹ — ¹Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany — ²Laboratory of Atomic And Solid State Physics, Cornell University, Ithaca, NY 14853, USA — ³Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden — ⁴Department 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.