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Phase transition and chaos in charged SYK model

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arxiv 1912.04326 v3 pith:RFDSLC4E submitted 2019-12-09 hep-th cond-mat.str-el

Nilakash Sorokhaibam This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords transitionchemicalphasepotentialchaosmodeltermcalculate
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We study chaotic-integrable transition and the nature of quantum chaos in SYK model with chemical potential. We use a novel numerical technique to calculate the partition function explicitly. We show the phase transition in the presence of large chemical potential. We also show that a mass-like term consisting of two fermion random interaction (q=2 SYK term) does not give rise to a sharp transition. We find that turning on the chemical potential suppresses the Lyapunov exponent in the chaotic phase exponentially.

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  1. Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

    gr-qc 2025-05 conditional novelty 4.0 of 10

    For 4D R-charged black holes, the Lyapunov exponent of unstable circular orbits tracks black hole phase transitions, and its discontinuity near the critical point shows a universal critical exponent of 1/2.

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