Does the SYK model have a spin glass phase?

Guy Gur-Ari (School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, U.S.A.; Department of Physics, Stanford University, Stanford, CA, U.S.A.; Google LLC, Menlo Park, U.S.A.) ; Raghu Mahajan (School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, U.S.A.; Department of Physics, Princeton University, Princeton, NJ, U.S.A.) ; Abolhassan Vaezi (Department of Physics, Stanford University, Stanford, CA, U.S.A.)

We argue that the Sachdev-Ye-Kitaev model has no spin glass phase, based on calculations involving both the nearly-conformal limit and the strongly-coupled Schwarzian limit of the model. This conclusion is supported by numerical computations of eigenvalue statistics with up to 46 Majorana fermions. In addition, we find numerically that the distribution of the ground state energy is Gaussian.

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      "surname": "Mahajan", 
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      "surname": "Vaezi", 
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Published on:
09 November 2018
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2018 (2018)
Issue 11
Pages 1-20
DOI:
https://doi.org/10.1007/JHEP11(2018)070
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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