Superfluid, staggered state, and Mott insulator of repulsively interacting three-component fermionic atoms in optical lattices

TL;DR

This paper reviews the phase transitions and states of three-component fermionic atoms in optical lattices, highlighting Mott insulators, staggered orderings, and superfluidity influenced by anisotropic interactions and filling factors.

Contribution

It provides a comprehensive theoretical analysis of phase transitions, including Mott, staggered, and superfluid states, in a three-component fermionic system with anisotropic interactions.

Findings

Mott transitions induced by anisotropic interactions at half filling.

Existence of staggered ordered states depending on interaction anisotropy.

Emergence of exotic superfluid states near Mott transition regimes.

Abstract

We review our theoretical analysis of repulsively interacting three-component fermionic atoms in optical lattices. We discuss quantum phase transitions at around half filling with a balanced population by focusing on Mott transitions, staggered ordering, and superfluidity. At half filling (with 3/2 atoms per site), characteristic Mott transitions are induced by the anisotropic interactions, where two-particle repulsions between any two of the three colors have different strengths. At half filling, two types of staggered ordered states appear at low temperatures depending on the anisotropy of the interactions. As the temperature increases, phase transitions occur from the staggered ordered states to the unordered Mott states. Deviating from half filling, an exotic superfluid state appears close to a regime in which the Mott transition occurs. We explain the origin of these phase transitions and present the finite-temperature phase diagrams.