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  • Letter
  • Open Access

Thermal Ising transition in two-dimensional SU(3) Fermi lattice gases with population imbalance

Hayato Motegi1, Giacomo Marmorini1,2, Nobuo Furukawa1, and Daisuke Yamamoto2,*

  • 1Department of Physics and Mathematics, Aoyama Gakuin University, Sagamihara, Kanagawa 252-5258, Japan
  • 2Department of Physics, Nihon University, Tokyo 156-8550, Japan

  • *Corresponding author: yamamoto.daisuke21@nihon-u.ac.jp
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Phys. Rev. Research 5, L022056 – Published 20 June, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L022056

Abstract

We focus on three-component SU(3) Fermi gases loaded into a square optical lattice, with population imbalance between one component and the others. At strong coupling the system is described by the SU(3) Heisenberg model with an external field that couples to the population imbalance. We discuss the ground state at the mean-field level and then analyze the thermal fluctuations with the semiclassical Monte Carlo method. The interplay of interactions, population imbalance, and thermal fluctuations gives rise to a phase transition linked to the breaking of an emergent Ising symmetry, despite the absence of frustration. This represents another scenario of discrete symmetry breaking in low-dimensional systems with continuous symmetries. Possible implementations with cold alkaline-earth(-like) atoms are discussed.

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Phys. Rev. Research 5, L022056– Published 20 June, 2023
  • Received 13 September 2022
  • Revised 25 March 2023
  • Accepted 17 May 2023
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