Spontaneously symmetry breaking states in the attractive SU$(N)$ Hubbard model

Abstract

We investigate spontaneously symmetry breaking states in the attractive SU($N$) Hubbard model at half filling. Combining dynamical mean-field theory with the continuous-time quantum Monte Carlo method, we obtain the finite temperature phase diagrams for the superfluid state. When $N>2$, the second-order phase transition occurs in the weak coupling region, while the first-order phase transition with the hysteresis appears in the strong coupling region. We also discuss the stability of the density wave state and clarify the component dependence of the maximum critical temperature.

7 pages, 8 figures

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• Coexisting Néel and charge density wave orders in attractive three-color fermions
• Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
• Ferromagnetically ordered metal in the single-band Hubbard model
• Enhancing quantum order with fermions by increasing species degeneracy
• Preparing the Gutzwiller wave function for attractive SU(3) fermions on a quantum computer
• Generalized Nagaoka ferromagnetism accompanied by flavor-selective Mott states in an SU($N$) Fermi-Hubbard model
• Trion ordering in the attractive three-color Hubbard model on a $\pi$-flux square lattice