Higher-order topological insulator in a modified Haldane-Hubbard model

Abstract

We investigate the ground-state phase diagram of a modified spinless Haldane-Hubbard model with broken threefold rotational symmetry, employing exact diagonalization calculations. The interplay of asymmetry, interactions, and topology gives rise to a rich phase diagram. The non-interacting limit of the Hamiltonian exhibits a higher-order topological insulator characterized by the existence of corner modes, in contrast to known chiral edge metallic states of the standard Haldane model. Our investigation demonstrates that these symmetry-protected states are robust to the presence of finite interactions. Furthermore, in certain regimes of parameters, we show that a topological Mott insulator exists in this model, where a non-trivial topological bulk coexists with an interaction-driven charge-density-wave, whose emergence is characterized by a $Z_2$-symmetry breaking within the 3$d$-Ising universality class.

9 pages, 9 figures

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Cited by in corpus (5)

• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Phase transitions in the Haldane-Hubbard model
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• A new class of higher-order topological insulators that localize energy at arbitrary multiple sites
• Zeeman field induced corner states in the Kane-Mele-Hubbard model