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arxiv: 1806.10145 · v1 · pith:PJ2PQ7X5new · submitted 2018-06-26 · ✦ hep-th · cond-mat.stat-mech· cond-mat.str-el

Does the SYK model have a spin glass phase?

classification ✦ hep-th cond-mat.stat-mechcond-mat.str-el
keywords modelglasslimitphasespinadditionarguecalculations
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Emergent States and Algebras from the Double-Scaling limit of Pure States in SYK

    hep-th 2026-04 unverdicted novelty 7.0

    In double-scaled SYK, state-adapted dressed chord operators change the emergent algebra from Type II1 to Type I∞ and restore purity of KM states, unlike generic operators.

  2. Searching for emergent spacetime in spin glasses

    hep-th 2025-10 unverdicted novelty 6.0

    Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk...

  3. Exploring the Spectral Edge in SYK Models

    hep-th 2025-10 unverdicted novelty 5.0

    Numerical confirmation that SYK models reproduce RMT spectral edge statistics, yielding power-law quenched entropy at low T and enabling large-N entanglement entropy calculations for supersymmetric wormholes.