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Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model
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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.
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Cited by 1 Pith paper
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SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport
A quantum dot with strong interactions and a narrow band is predicted to show Sachdev-Ye-Kitaev non Fermi liquid transport, including a T^{3/2} inelastic cotunneling conductance.
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