Interplay of interactions, disorder and topology in the Haldane-Hubbard model

Abstract

We investigate the ground-state phase diagram of the spinless Haldane-Hubbard model in the presence of quenched disorder, contrasting results obtained from both exact diagonalization as well as density matrix renormalization group, applied to a honeycomb cylinder. The interplay of disorder, interactions and topology gives rise to a rich phase diagram, and in particular highlights the possibility of a disorder-driven trivial-to-topological transition in the presence of finite interactions. That is, the topological Anderson insulator, demonstrated in non-interacting settings, is shown to be stable to the presence of sufficiently small interactions before a charge density wave Mott insulator sets in. We further perform a finite-size analysis of the transition to the ordered state in the presence of disorder, finding a mixed character of first and second order transitions in finite lattices, tied to specific conditions of disorder realizations and boundary conditions used.

arXiv comment10 pages, 10 figures; as published

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• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Charge excitations across a superconductor-insulator transition
• Squashed entanglement in one-dimensional quantum matter
• Strong Correlation, Bloch Bundle Topology and Spinless Haldane-Hubbard Model
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors