Excitation spectra of quantum matter without quasiparticles I: Sachdev-Ye-Kitaev models

Abstract

We study the low frequency spectra of complex Sachdev-Ye-Kitaev (SYK) models at general densities. The analysis applies also to SU($M$) magnets with random exchange at large $M$. The spectral densities are computed by numerical analysis of the saddle point equations on the real frequency ($\omega$) axis at zero temperature ($T$). The asymptotic low $\omega$ behaviors are found to be in excellent agreement with the scaling dimensions of irrelevant operators which perturb the conformally invariant critical states. Of possible experimental interest is our computation of the universal spin spectral weight of the SU($M$) magnets at low $\omega$ and $T$: this includes a contribution from the time reparameterization mode, which is the boundary graviton of the holographic dual. This analysis is extended to a random $t$-$J$ model in a companion paper.

arXiv comment54 pages, 15 figures

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Cited by in corpus (26)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Large $N$ theory of critical Fermi surfaces
• Skewed Non-Fermi Liquids and the Seebeck Effect
• Pole-skipping points in 2D gravity and SYK model
• Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
• Planckian Metal at a Doping-Induced Quantum Critical Point
• Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models
• Quantum phase transition at non-zero doping in a random $t$-$J$ model
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• Spin liquid to spin glass crossover in the random quantum Heisenberg magnet
• The statistical mechanics of near-BPS black holes
• Excitation spectra of quantum matter without quasiparticles II: random $t$-$J$ models
• Thermodynamic and Real-time Dynamic Properties of Complex Sachdev-Ye-Kitaev Model
• A unified theory of strong coupling Bose polarons: From repulsive polarons to non-Gaussian many-body bound states
• Thermalization at Low Temperatures via Weakly-Damped Multi-Site Baths
• Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
• Random coupling model of turbulence as a classical Sachdev-Ye-Kitaev model
• $\mathcal{N}=2$ SYK models with dynamical bosons and fermions
• Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
• Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry
• Critical anomalous metals near superconductivity in models with random interactions
• The quantum $p$-spin glass model: A user manual for holographers
• More on Complex Sachdev-Ye-Kitaev Eternal Wormholes
• Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport
• A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models