Family of Sachdev-Ye-Kitaev models motivated by experimental considerations

Étienne Lantagne-Hurtubise, Chengshu Li, and Marcel Franz
Phys. Rev. B 97, 235124 – Published 14 June 2018

Abstract

Several condensed-matter platforms have been proposed recently to realize the Sachdev-Ye-Kitaev (SYK) model in their low-energy limit. In these proposed realizations, the characteristic SYK behavior is expected to occur under certain assumptions about the underlying physical system that (i) render all bilinear terms small compared to four-fermion interactions and (ii) ensure that the coupling constants are approximately all-to-all and independent random variables. In this work we explore, both analytically and numerically, the family of models that arises when we relax these assumptions in ways motivated by real physical systems. By relaxing (i) and allowing large bilinear terms, we obtain a novel, exactly solvable cousin of the SYK model. It exhibits two distinct phases separated by a quantum phase transition characterized by a power-law, |ω|1/3, scaling of the low-energy spectral density, despite being a noninteracting model. By relaxing (ii), we obtain close relatives of the SYK model which exhibit interesting behaviors, including a chaotic non-Fermi liquid phase with continuously varying fermion scaling dimension, and a phase transition to a disordered Fermi liquid as a function of interaction range and disorder length scale.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
3 More
  • Received 21 March 2018

DOI:https://doi.org/10.1103/PhysRevB.97.235124

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Étienne Lantagne-Hurtubise*, Chengshu Li, and Marcel Franz

  • Department of Physics and Astronomy & Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1

  • *lantagne@phas.ubc.ca
  • chengshu@phas.ubc.ca

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 97, Iss. 23 — 15 June 2018

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×