Title: Does the SYK model have a spin glass phase?

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3]
  1. Stanford Univ., CA (United States). Dept. of Physics; Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences; DOE/OSTI
  2. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences ; Princeton Univ., NJ (United States)
  3. Stanford Univ., CA (United States)
+ Show Author Affiliations

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.

Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0016244
OSTI ID:
1612441
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2018; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

References (42)

Random-matrix theories in quantum physics: common concepts journal June 1998
Models of AdS_2 Backreaction and Holography preprint January 2014
Power-law out of time order correlation functions in the SYK model text January 2017
Solving the Schwarzian via the Conformal Bootstrap text January 2017
Level-spacing distributions and the Airy kernel journal January 1994
Supergoop dynamics journal March 2013
Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models journal May 2017
The Schwarzian theory — origins journal May 2018
The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual journal May 2018
Cosmic clustering journal June 2016
An investigation of AdS2 backreaction and holography journal July 2016
A bound on chaos journal August 2016
Solving the Schwarzian via the conformal bootstrap journal August 2017
Spread of entanglement in a Sachdev-Ye-Kitaev chain journal September 2017
Fermionic localization of the schwarzian theory journal October 2017
Models of AdS2 backreaction and holography journal November 2015
Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models journal November 2017
Universal scaling of the tail of the density of eigenvalues in random matrix models journal October 1991
The spectrum edge of random matrix ensembles journal August 1993
Sachdev–Ye–Kitaev model as Liouville quantum mechanics journal October 2016
Power-law out of time order correlation functions in the SYK model journal August 2017
Replica theory of quantum spin glasses journal August 1980
The order parameter for spin glasses: a function on the interval 0-1 journal March 1980
Anti-de Sitter fragmentation journal February 1999
Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space journal November 2016
Non-Fermi-liquid regime of a doped Mott insulator journal February 1999
Quantum fluctuations of a nearly critical Heisenberg spin glass journal March 2001
Infinite-range quantum random Heisenberg magnet journal June 2002
Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states journal March 2017
Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography journal April 2017
Quantum quench of the Sachdev-Ye-Kitaev model journal November 2017
Remarks on the Sachdev-Ye-Kitaev model journal November 2016
Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model journal December 2016
Analytical spectral density of the Sachdev-Ye-Kitaev model at finite N journal September 2017
Chaos in AdS 2 Holography journal September 2016
Solvable Model of a Spin-Glass journal December 1975
Zero-temperature critical behavior of the infinite-range quantum Ising spin glass journal May 1993
Gapless spin-fluid ground state in a random quantum Heisenberg magnet journal May 1993
Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models journal July 2018
Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications book November 1986
TASI Lectures on Complex Structures conference March 2012
Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains journal January 2017

Cited By (8)

On the replica structure of Sachdev-Ye-Kitaev model journal September 2019
Clocks and rods in Jackiw-Teitelboim quantum gravity journal September 2019
Quantum chaos in the Brownian SYK model with large finite N : OTOCs and tripartite information journal November 2019
Jackiw-Teitelboim gravity and rotating black holes journal November 2019
Quantum chaos transition in a two-site Sachdev-Ye-Kitaev model dual to an eternal traversable wormhole journal July 2019
Revealing Nonperturbative Effects in the SYK Model journal November 2019
Revealing nonperturbative effects in the SYK model text January 2019
Quantum chaos in the Brownian SYK model with large finite $N$: OTOCs and tripartite information text January 2019

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