Dresden 2020 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 53: Topology: Majorana Physics
TT 53.14: Talk
Thursday, March 19, 2020, 13:00–13:15, HSZ 103
(Super)symmetry in the Sachdev-Ye-Kitaev model — •Jan Behrends1 and Benjamin Béri1,2 — 1T.C.M. Group, Cavendish Laboratory, University of Cambridge, J.J. Thomson Avenue, Cambridge, CB3 0HE, United Kingdom — 2DAMTP, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom
Supersymmetry is a powerful concept in quantum many-body physics. It helps to illuminate ground state properties of complex quantum systems and gives relations between correlation functions. In this work, we show that the Sachdev-Ye-Kitaev model, in its simplest form of Majorana fermions with random four-body interactions, is supersymmetric. In contrast to existing explicitly supersymmetric extensions of the model, the supersymmetry we find requires no relations between couplings. The type of supersymmetry and the structure of the supercharges are entirely set by the number of interacting Majorana modes, and are thus fundamentally linked to the model’s Altland-Zirnbauer classification. The supersymmetry we uncover has a natural interpretation in terms of a one-dimensional topological phase supporting Sachdev-Ye-Kitaev boundary physics, and has consequences away from the ground state, including in q-body dynamical correlation functions. This talk will not only illuminate the role of supersymmetry, but also the underlying Altland-Zirnbauer classes that have been previously overlooked.