Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model

Abstract

We study the quantum anomalous Hall effect in a strip of stripes model coupled to a magnetic texture with zero total magnetization and in the presence of strong electron-electron interactions. A helical magnetization along the stripes and a spin-selective coupling between the stripes gives rise to a bulk gap and chiral edge modes. Depending on the ratio between the period of the magnetic structure and the Fermi wavelength, the system can exhibit the integer or fractional quantum anomalous Hall effect. In the fractional regime, the quasiparticles have fractional charges and non-trivial Abelian braid statistics.

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• Colloquium: Quantum anomalous Hall effect
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• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Skyrmion Based Magnonic Crystals
• Three-Dimensional Fractional Topological Insulators in Coupled Rashba Layers
• Strongly correlated crystalline higher-order topological phases in two-dimensional systems: A coupled-wire study
• General scatterings and electronic states in the quantum-wire network of moiré systems
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Fractional second-order topological insulator from a three-dimensional coupled-wires construction
• Effective Theories for 2+1 Dimensional Non-Abelian Topological Spin Liquids
• Topological states constructed by two different trivial quantum wires
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Dimensional reduction of the Luttinger-Ward functional for spin-degenerate $D$-dimensional electron gases
• Quantum wires, Chern-Simons theory, and dualities in the quantum Hall system
• Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
• Fractional chiral second-order topological insulator from a three-dimensional array of coupled wires
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures