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

    Zhen Bi1, Chao-Ming Jian2, Yi-Zhuang You3, Kelly Ann Pawlak1, and Cenke Xu1

    • 1Department of Physics, University of California, Santa Barbara, California 93106, USA
    • 2Kavli Institute of Theoretical Physics, Santa Barbara, California 93106, USA
    • 3Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

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    Phys. Rev. B 95, 205105 – Published 4 May, 2017

    DOI: https://doi.org/10.1103/PhysRevB.95.205105

    Abstract

    We study a series of perturbations on the Sachdev-Ye-Kitaev (SYK) model. We show that the maximal chaotic non-Fermi-liquid phase described by the ordinary q=4 SYK model has marginally relevant or 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 SYKq model with a q-fermion interaction, similar perturbations can lead to a series of new fixed points with continuously varying exponents.

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    Phys. Rev. B 95, 205105– Published 4 May, 2017
    • Received 2 February 2017

    ©2017 American Physical Society

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