Repulsive Fermi gases in a two-dimensional lattice with non-Abelian gauge fields

Abstract

Motivated by the recent experiment realizing bidirectional spin-orbit-coupled Bose-Einstein condensates (BEC), we theoretically explore the properties of repulsive fermions in the two-dimensional (2D) optical lattice with such non-Abelian gauge fields. Within the mean-field level, we find a novel phase of topological antiferromagnetic (TAFM) order which incorporates both the non-trivial topology due to spin-flip hopping and spontaneous symmetry breaking (SSB) for the in-plane spin order. We argue that the appearance of such a phase is generic for repulsive fermions in Chern bands achieved through spin-orbit coupling. Our work paves the way for further studies of fermionic generalization of 2D non-Abelian spin-orbit-coupled quantum gases.

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Cited by in corpus (4)

• Spontaneous symmetry breaking of an interacting Chern insulator on a topological square lattice
• Emergence of asymmetric fermionic order in interacting birefringent fermions
• High Chern number phase in topological insulator multilayer structures: a Dirac cone model study
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model