Disorder in the Sachdev–Ye–Kitaev model

Liu, Yizhuang; Nowak, Maciej A.; Zahed, Ismail

doi:10.1016/j.physletb.2017.08.054

Title: Disorder in the Sachdev–Ye–Kitaev model

Journal Article · Sun Oct 01 00:00:00 EDT 2017 · Physics Letters. B

DOI:https://doi.org/10.1016/j.physletb.2017.08.054· OSTI ID:1437728

Liu, Yizhuang; Nowak, Maciej A.; Zahed, Ismail

We give qualitative arguments in support of the mesoscopic nature of the Sachdev–Ye–Kitaev (SYK) model in the regime with q²/N << 1 with N Majorana particles coupled by antisymmetric and random interactions of range q. Using a stochastic deformation of the SYK model, we show that its characteristic determinant obeys a viscid Burgers equation with a small spectral viscosity in the regime with q/N = 1/2. In particular, the stochastic evolution of the SYK model can be mapped exactly onto that of random matrix theory, with universal Airy oscillations at the edges.

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Research Organization:: The State Univ. of New York, Stony Brook, NY (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-88ER40388; DEC-2011/02/A/ST1/00119

OSTI ID:: 1437728

Alternate ID(s):: OSTI ID: 1511000

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Vol. 773 Journal Issue: C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 21 works

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