Spontaneous symmetry breaking of an interacting Chern insulator on a topological square lattice

Abstract

The interplay between topology and correlation lies at the forefront of modern condensed matter physics. In this paper, we study the extended fermion-Hubbard model, including the on-site as well as the nearest-neighbor repulsive interactions, on a topological square lattice that supports the Chern insulator. Within the mean-field method, we find that the spontaneous symmetry breaking (SSB) charge-density wave or antiferromagnetic insulator dominates the system when the onsite or nearest-neighbor interactions are strong enough. It is interesting that the antiferromagnetic Chern insulator will appear in the phase diagram when there is an explicitly nonvanishing sublattice potential. In addition, we explore how a finite-size ribbon structure affects the phase diagram and point out that the critical interaction for SSB occurs with weaker strength than the bulk system.

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Cited by in corpus (9)

• Interplay of local order and topology in the extended Haldane-Hubbard model
• Topological Anderson insulating phases in the interacting Haldane model
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• Emergence of asymmetric fermionic order in interacting birefringent fermions
• Topological phase in the extended Haldane-Hubbard model with sublattice-dependent repulsion
• Phase diagram of the interacting Haldane model with spin-dependent sublattice potentials
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model