Sachdev-Ye-Kitaev Model with Quadratic Perturbations: The Route to a Non-Fermi Liquid

A. V. Lunkin, K. S. Tikhonov, M. V. Feigel'Man

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    18 Citations (Scopus)

    Abstract

    We study stability of the Sachdev-Ye-Kitaev (SYK4) 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 SYK2 perturbation and demonstrate stability of the SYK4 infrared asymptotic behavior characterized by a Green function G(τ) 1/τ3/2, 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.

    Original languageEnglish
    Article number236601
    JournalPhysical Review Letters
    Volume121
    Issue number23
    DOIs
    Publication statusPublished - 3 Dec 2018

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