Dirac Fast Scramblers

Abstract

We introduce a family of Gross-Neveu-Yukawa models with a large number of fermion and boson flavors as higher dimensional generalizations of the Sachdev-Ye-Kitaev model. The models may be derived from local lattice couplings and give rise to Lorentz invariant critical solutions in 1+1 and 2+1 dimensions. These solutions imply anomalous dimensions of both bosons and fermions tuned by the number ratio of boson to fermion flavors. In 1+1 dimension the solution represents a stable critical phase, while in 2+1 dimension it governs a quantum phase transition. We compute the out of time order correlators in the 1+1 dimensional model, showing that it exhibits growth with the maximal Lyapunov exponent ${\lambda }_L=2\pi T$ in the low temperature limit.

arXiv comment4+4 pages, 4 figures, 1 table; accepted version, minor changes

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Cited by in corpus (23)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Large $N$ theory of critical Fermi surfaces
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Phase diagram of the spin-1/2 Yukawa-SYK model: Non-Fermi liquid, insulator, and superconductor
• Maximal quantum chaos of the critical Fermi surface
• Thermalization of non-Fermi-liquid electron-phonon systems: Hydrodynamic relaxation of the Yukawa-Sachdev-Ye-Kitaev model
• Ultraviolet-Infrared Mixing in Marginal Fermi Liquids
• Quantum chaos and phase transition in the Yukawa-SYK model
• Dynamical Freezing in Exactly Solvable Models of Driven Chaotic Quantum Dots
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• Solvable Theory of a Strange Metal at the Breakdown of a Heavy Fermi Liquid
• Collective density fluctuations of strange metals with critical Fermi surfaces
• Approximate Quantum Codes From Long Wormholes
• Strong-coupling superconductivity near Gross-Neveu quantum criticality in Dirac systems
• Superconductivity of Incoherent Electrons near the Relativistic Mott Transition in Twisted Dirac Materials
• Disordered $\mathcal{N}=(2,2)$ Supersymmetric Field Theories
• Interaction-mitigated Landau damping
• Emergent Supersymmetry at Large $N$
• Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
• A route from maximal chaoticity to integrability
• Instabilities of a Generalized Gross-Neveu Quantum Criticality
• Krylov Winding and Emergent Coherence in Operator Growth Dynamics
• Universal quench dynamics of lattice $q$ fermion Yukawa Sachdev-Ye-Kitaev model