Metal-Mott Insulator Transition and Spin Exchange of Two-Component Fermi Gas with Spin-Orbit Coupling in Two-Dimension Square Optical Lattices

TL;DR

This paper studies how spin-orbit coupling influences the transition from metal to Mott insulator and the magnetic interactions in a two-component Fermi gas on a 2D square lattice, revealing SOC-driven quantum phase transitions.

Contribution

It provides a detailed analysis of SOC effects on MMIT and spin exchange, introducing new phase transition insights in 2D Fermi gases.

Findings

SOC affects the phase boundary of MMIT.

SOC induces a transition from antiferromagnetic to spiral phases.

Calculated spin exchange Hamiltonian incorporating SOC effects.

Abstract

Effects of spin-orbit coupling (SOC) on metal-Mott insulator transition (MMIT) and spin exchange physics (SEP) of two-component Fermi gases in two-dimension half-filling square optical lattices are investigated. In the frame of Kotliar and Ruckenstein slave boson and the second order perturbation theory, the phase boundary of paramagnetic MMIT and spin exchange Hamiltonian are calculated. In addition by adopting two mean-field ansatzs including antiferromagnetic, ferromagnetic and spiral phases, we find that SOC can drive a quantum phase transition from antiferromagnet to spiral phase.