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

2017/01/31 by Zhen Bi, Chao‐Ming Jian, Chao-Ming Jian +3
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Chaotic #Condensed matter physics #Electron #Fermi Gamma-ray Space Telescope #Fermi liquid theory #Fermion #Geometry #Instability #Mathematical analysis #Mathematical physics #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Series (stratigraphy) #Sign (mathematics) #Symmetry (geometry) #cond-mat.str-el #hep-th

paper · pdf · doi:10.1103/physrevb.95.205105

published as Phys. Rev. B 95, 205105 (2017) · 11 pages, 8 figures

arxiv created 2017/04/18 · openalex publication_date 2017/05/04 · arxiv updated 2017/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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 SYK_q model with a q-fermion interaction, similar perturbations can lead to a series of new fixed points with continuously varying exponents.

Citations

• Gapless spin-fluid ground state in a random quantum Heisenberg magnet
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum critical phenomena
• Ordering, metastability and phase transitions in two-dimensional systems
• Comments on the Sachdev-Ye-Kitaev model
• Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space