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arXiv · 2602.10443

Moire driven edge reconstruction in Fractional quantum anomalous Hall states

Feng Liu·Hoi Chun Po·Xue-Yang Song
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Abstract

We investigate fractional edge modes in moire fractional quantum anomalous Hall states, focusing on the role of lattice momentum conservation and umklapp scattering. For the hierarchical nu=2/3 state, we show that, for a class of microscopic edge realizations, moire-enabled umklapp processes can stabilize the Kane-Fisher-Polchinski fixed point even in the absence of disorder. Our results illustrate how lattice momentum constraints can qualitatively reshape the interaction structure and low-energy behavior of fractional edge modes. The study of Umklapp processes in edge reconstruction serves as a crucial bridge to understanding thermal and electrical transport in the hierarchical fractional quantum anomalous Hall states found in lattice systems of quantum simulators.

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Feng Liu, Hoi Chun Po, Xue-Yang Song. 2026-02-11. Moire driven edge reconstruction in Fractional quantum anomalous Hall states. https://arxiv.org/abs/2602.10443

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