Competition between Chaotic and Nonchaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model

Xin Chen, Ruihua Fan, Yiming Chen, Hui Zhai, and Pengfei Zhang
Phys. Rev. Lett. 119, 207603 – Published 15 November 2017
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Abstract

The Sachdev-Ye-Kitaev (SYK) model is a concrete solvable model to study non-Fermi liquid properties, holographic duality, and maximally chaotic behavior. In this work, we consider a generalization of the SYK model that contains two SYK models with a different number of Majorana modes coupled by quadratic terms. This model is also solvable, and the solution shows a zero-temperature quantum phase transition between two non-Fermi liquid chaotic phases. This phase transition is driven by tuning the ratio of two mode numbers, and a nonchaotic Fermi liquid sits at the critical point with an equal number of modes. At a finite temperature, the Fermi liquid phase expands to a finite regime. More intriguingly, a different non-Fermi liquid phase emerges at a finite temperature. We characterize the phase diagram in terms of the spectral function, the Lyapunov exponent, and the entropy. Our results illustrate a concrete example of the quantum phase transition and critical behavior between two non-Fermi liquid phases.

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  • Received 21 May 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.207603

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Xin Chen1, Ruihua Fan2, Yiming Chen1,3, Hui Zhai1,4,*, and Pengfei Zhang1,†

  • 1Institute for Advanced Study, Tsinghua University, Beijing 100084, China
  • 2Department of Physics, Harvard University, Cambridge Massachusetts 02138, USA
  • 3Department of Physics, Tsinghua University, Beijing 100084, China
  • 4Collaborative Innovation Center of Quantum Matter, Beijing 100084, China

  • *hzhai@tsinghua.edu.cn
  • PengfeiZhang.physics@gmail.com

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Issue

Vol. 119, Iss. 20 — 17 November 2017

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