Does the SYK model have a spin glass phase?

A bstract 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...

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Veröffentlicht in:	The journal of high energy physics 2018-11, Vol.2018 (11), p.1-20, Article 70
Hauptverfasser:	Gur-Ari, Guy, Mahajan, Raghu, Vaezi, Abolhassan
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Eigenvalues Elementary Particles Fermions Field Theories in Lower Dimensions High energy physics Mathematical models Normal distribution Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Random Systems Regular Article - Theoretical Physics Relativity Theory Spin glasses String Theory
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Zusammenfassung:	A bstract 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.
ISSN:	1029-8479 1029-8479
DOI:	10.1007/JHEP11(2018)070