Interaction-enhanced integer quantum Hall effect in disordered systems

2018/05/31 by Jun-Hui Zheng, Tao Qin, Walter Hofstetter
Mathematics · Physics and Astronomy · #Anderson localization #Condensed matter physics #Conductance #Invariant (physics) #Magnetic field #Mathematics #Phase transition #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum spin Hall effect #Topological Materials and Phenomena #Topological insulator #Topological order #Topology (electrical circuits) #cond-mat.dis-nn #cond-mat.quant-gas #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.99.125138

published as Phys. Rev. B 99, 125138 (2019) · 5+5 pages, 2 figures (Eq.9 is corrected)

arxiv created 2018/07/16 · openalex publication_date 2019/03/21 · arxiv updated 2019/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study transport properties and topological phase transition in two-dimensional interacting disordered systems. We derive the Hall conductance within real-space dynamical mean-field theory, 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 nontrivial regime, it impedes Anderson localization. Generally, the interaction broadens the regime of the topological phase in the disordered system.

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