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

TL;DR

This paper explores the phase transitions and symmetry breaking in the attractive SU(N) Hubbard model at half filling, revealing different transition types depending on coupling strength and component number.

Contribution

It provides the first finite temperature phase diagrams for the superfluid state in the attractive SU(N) Hubbard model using advanced computational methods.

Findings

Second-order phase transition for N>2 in weak coupling

First-order phase transition with hysteresis in strong coupling

Component dependence of maximum critical temperature

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.