Trion states and quantum criticality of attractive SU(3) Dirac fermions

Abstract

We perform the projector quantum Monte Carlo (QMC) simulation to study the trion formation and quantum phase transition in the half-filled attractive SU(3) Hubbard model on a honeycomb lattice. With increasing attractive Hubbard interaction, our simulations demonstrate a continuous quantum phase transition from the semimetal to charge density wave (CDW) at the critical coupling $U_c/t=-1.52(2)$. The critical exponents $\nu =0.82(3)$ and $\eta =0.58(4)$ determined by the QMC simulation remarkably disagree with those of the $N=3$ chiral Ising universality class suggested by the effective Gross-Neveu-Yukawa (GNY) theory, but coincide with the $N=1$ chiral Ising universality class. In the CDW phase, we show that on-site and off-site trions coexist and the off-site trion forms a local bond state. Our work not only illustrates the formation of off-site trions in two-dimensional Hubbard model, but also raises doubts about the extent of applicability of GNY model on the attractive SU(3) Dirac fermions.

arXiv comment11 pages, 11 figures

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• SU($N$) symmetry with ultracold alkali dimers: weak dependence of scattering properties on hyperfine state
• Preempting Fermion Sign Problem: Unveiling Quantum Criticality through Nonequilibrium Dynamics in Imaginary Time
• Quantum Monte Carlo simulations of thermodynamic properties of attractive SU($3$) Dirac fermions
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• Coexisting Néel and charge density wave orders in attractive three-color fermions
• Few-body bound states of bosonic mixtures in two-dimensional optical lattices
• Hydrodynamic equations for a U(N) invariant superfluid
• Trion formation and ordering in the attractive SU(3) Fermi-Hubbard model
• Trion ordering in the attractive three-color Hubbard model on a $\pi$-flux square lattice
• Preparing the Gutzwiller wave function for attractive SU(3) fermions on a quantum computer