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SYK model with quadratic perturbations: the route to a non-Fermi-liquid

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arxiv 1806.11211 v2 pith:WRV3NHSP submitted 2018-06-28 cond-mat.str-el

A. V. Lunkin , K. S. Tikhonov , M. V. Feigel'man This is my paper · ORCID
classification cond-mat.str-el
keywords perturbationfermionsmodelnon-fermi-liquidquadraticrespectstabilitytheory
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abstract

We study the stability of the SYK$_4$ model with a large but finite number of fermions $N$ with respect to a perturbation, quadratic in fermionic operators. We develop analytic perturbation theory in the amplitude of the SYK$_2$ perturbation and demonstrate the stability of the SYK$_4$ infra-red asymptotic behavior characterized by a Green function $G(\tau) \propto 1/\tau^{3/2} $, with respect to weak perturbation. This result is supported by exact numerical diagonalization. Our results open the way to build a theory of non-Fermi-liquid states of strongly interacting fermions.

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  1. SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport

    cond-mat.str-el 2019-08 conditional novelty 6.0 of 10

    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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