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

TL;DR

This paper investigates the quantum anomalous Hall effect in a stripe model with magnetic textures and strong interactions, revealing conditions for integer and fractional regimes with exotic quasiparticles.

Contribution

It introduces a stripe-based model showing how magnetic textures and electron interactions lead to integer and fractional quantum anomalous Hall effects.

Findings

Bulk gap and chiral edge modes are generated by magnetic textures.

The system exhibits fractional charges and braid statistics in the fractional regime.

The Hall effect type depends on the magnetic structure period and Fermi wavelength ratio.

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.