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- W2806444610 abstract "Quantum chaos in many-body systems may be characterized by the Lyapunov exponent defined as the exponential growth rate of out-of-time-order correlators (OTOC). So far Lyaponov exponents around various quantum critical points (QCP) remain largely unexplored. Here, we investigate the Lyapunov exponent around QCPs of the Gross-Neveu (GN) model with $N$ flavors of Dirac fermions in (2+1) dimensions. Around the GN quantum phase transition between a Dirac semimetal and a gapped insulator breaking $Z_2$ symmetry (e.g., inversion symmetry of the honeycomb lattice), we find that the Lyaponov exponent $lambda_L approx 3.5 T/N$ at temperature $T$ and to the leading order of $1/N$ in the large-$N$ expansion. We also obtain the quantum scattering rate of an excitation with energy $epsilon$, which is proportional to $sqrt{epsilon T}/N$ at low energy. We further discuss possible experimental relevances of the GN model in many-body systems." @default.
- W2806444610 created "2018-06-13" @default.
- W2806444610 creator A5008810579 @default.
- W2806444610 creator A5082023938 @default.
- W2806444610 date "2018-05-30" @default.
- W2806444610 modified "2023-09-27" @default.
- W2806444610 title "Universal properties of many-body quantum chaos at Gross-Neveu criticality" @default.
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