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The Sachdev-Ye-Kitaev model and free Majorana variational states

2020/06/01 by Daniel Ish, Ish, Daniel, Mark Srednicki +1
Physics and Astronomy · #Advanced Condensed Matter Physics #Quantum many-body systems #Cold Atom Physics and Bose-Einstein Condensates

paper · pdf · doi:10.48550/arxiv.2006.00728

Abstract

Through a mixture of analytic and numerical techniques, we explore the optimal approximation by a free Majorana state to individual disorder realizations of the Sachdev-Ye-Kitaev model, along with a generalization of it. We elucidate the properties of the known time-reversal symmetry breaking phase in the generalized model, finding strong evidence of "spin glass" order. For the Sachdev-Ye-Kitaev model itself, our results are inconclusive but suggest a similar order may be present at zero temperature.

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