Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model

Abstract

We study a series of perturbations on the Sachdev-Ye-Kitaev (SYK) model. We show that the chaotic non-Fermi liquid phase described by the ordinary $q=4$ SYK model has marginally relevant/irrelevant (depending on the sign of the coupling constants) four-fermion perturbations allowed by symmetry. Changing the sign of one of these four-fermion perturbations leads to a continuous chaotic-nonchaotic quantum phase transition of the system accompanied by a spontaneous time-reversal symmetry breaking. Starting with the SYK${}_q$ model with a $q-$fermion interaction, similar perturbations can lead to a series of new interacting conformal field theory fixed points.

11 pages, 8 figures

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• Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
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• Diffusion in higher dimensional SYK model with complex fermions
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• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
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• Solvable Theory of a Strange Metal at the Breakdown of a Heavy Fermi Liquid
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• Lattice models for Non-Fermi Liquids with Tunable Transport Scalings
• Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
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• Mimicking black hole event horizons in atomic and solid-state systems
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