Trion ordering in the attractive three-color Hubbard model on a $\pi$-flux square lattice

Abstract

Ultracold multicomponent fermions (atoms/molecules) loaded in optical lattices provide an ideal platform for simulating SU($N$) Hubbard models that host unconventional many-body quantum states beyond SU(2). A prime example is the attractive three-color Hubbard model, in which trion states emerge at strong coupling. Nevertheless, much of its trion ordering on two-dimensional lattices remains uncertain. Here, we employ the determinant quantum Monte Carlo (DQMC) method to simulate the attractive three-color Hubbard model on a $\pi$-flux square lattice at half filling. We show that color-dependent attractive interaction can induce coexisting charge density wave (CDW) and Néel ordered states in the three-color $\pi$-flux Hubbard model. In particular, enhanced charge fluctuations (cf. honeycomb lattice) cause much stronger Néel ordering on the $\pi$-flux square lattice. The coexisting charge and Néel orders survive up to a melting temperature, at which they vanish simultaneously. The Ginzburg-Landau (GL) analysis on the coexistence of CDW and Néel orders demonstrates how color-dependent Hubbard interactions stabilize coexisting orders from the perspective of GL free energy principle.

10 pages, 8 figures

References in corpus (27)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Collisional stability of a three-component degenerate Fermi gas
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Spin-orbital quantum liquid on the honeycomb lattice
• Observation of Bose-Einstein Condensation of Dipolar Molecules
• Superconductivity and spin-density-waves in multi-band metals
• Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model
• SU(4) chiral spin liquid, exciton supersolid and electric detection in moiré bilayers
• Trionic phase of ultracold fermions in an optical lattice: A variational study
• A two-dimensional programmable tweezer array of fermions
• Flavour-selective localization in interacting lattice fermions via SU(N) symmetry breaking
• Three-Component Fermi Gas in a one-dimensional Optical Lattice
• Magnetism and domain formation in SU(3)-symmetric multi-species Fermi mixtures
• Exotic many-body physics with large-spin Fermi gases
• Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices
• Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
• Mott made easy
• Finite-temperature valence-bond-solid transitions and thermodynamic properties of interacting SU($2N$) Dirac fermions
• Trion and Dimer Formation of Three-Color Fermions
• Spontaneously symmetry breaking states in the attractive SU$(N)$ Hubbard model
• Color Superfluid and Trionic State of Attractive Three-Component Lattice Fermionic Atoms at Finite Temperatures
• Quantum Monte Carlo simulations of thermodynamic properties of attractive SU($3$) Dirac fermions
• Coexisting Néel and charge density wave orders in attractive three-color fermions