Correlation Effects in Quadrupole Insulators: a Quantum Monte Carlo Study

Abstract

The quadrupole insulator, a high-order topological insulator, with on-site Hubbard interaction is numerically studied by large-scale projector quantum Monte Carlo (PQMC) simulations. The Green's function formalism is successfully used to characterize topological properties in interacting quadrupole insulators for the first time. We find that the topological quadrupole insulator is stable against weak interactions and turns into a trivial antiferromagnetic (AFM) insulator by a continuous topological phase transition (TPT) for strong interactions. The critical exponents related to the TPT are estimated to be $\nu =0.67(4)$, $\beta =0.40(2)$, which are distinct from those of the known AFM transitions and suggest a new universality class.

arXiv comment5+3 pages, 6+2 figures

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• Finite-temperature topological invariant for higher-order topological insulators
• The destiny of obstructed atomic insulator under correlation
• Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
• Zeeman field induced corner states in the Kane-Mele-Hubbard model
• Deconfined Quantum Phase Transition of a Higher-Order Symmetry-Protected Topological State