Interaction-enhanced integer quantum Hall effect in disordered systems

Abstract

We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant for insulators, even when the energy gap is closed by localized states. In the spinful Harper-Hofstadter-Hatsugai model, in the trivial insulator regime, we find that the repulsive on-site interaction can assist weak disorder to induce the integer quantum Hall effect, while in the topologically non-trivial regime, it impedes Anderson localization. Generally, the interaction broadens the regime of the topological phase in the disordered system.

5+5 pages, 2 figures (Eq.9 is corrected)

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Cited by in corpus (11)

• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model
• Microscopic characteristics and tomography scheme of the local Chern marker
• Local marker for interacting topological insulators
• Lattice symmetry and emergence of antiferromagnetic quantum Hall states
• Measuring the topological phase transition via the single-particle density matrix
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Floquet topological phase transitions induced by uncorrelated or correlated disorder
• Recent progress on disorder-induced topological phases
• Topological phase transition based on the attractive Hubbard model