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Topological Mechanics from Supersymmetry by Attig, Jan ;Roychowdhury, Krishanu ;Lawler, Michael J. ;Trebst, Simon is a Physics and Astronomy article available to read on EtoBox.

What is Topological Mechanics from Supersymmetry about?

In topological mechanics, the identification of a mechanical system's rigidity matrix with an electronic tightbinding model allows one to infer topological properties of the mechanical system, such as the occurrence of "floppy" boundary modes, from the associated electronic band structure. Here, we introduce an approach to systematically construct topological mechanical systems by an exact supersymmetry (SUSY) that relates the bosonic (mechanical) and fermionic (e.g., electronic) degrees of freedom. As examples we discuss mechanical analogs of the Kitaev honeycomb model and of a second-order topological insulator with floppy corner modes. Our SUSY construction naturally defines a set of topological invariants for bosonic (mechanical) systems, such as bosonic Wilson loop operators that are formulated in terms of a SUSY-related fermionic Berry curvature.

Who reads Topological Mechanics from Supersymmetry?

Author

Attig, Jan ;Roychowdhury, Krishanu ;Lawler, Michael J. ;Trebst, Simon

Publisher

American Physical Society (APS)

Published

2019

Language

EN

Field

Physics and Astronomy (Physical Sciences)