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arXiv · 2403.00059

Non-Abelian fractionalization in topological minibands

Aidan P. Reddy·Nisarga Paul·Ahmed Abouelkomsan·Liang Fu
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Abstract

Motivated by the recent discovery of fractional quantum anomalous Hall states in moir\'e systems, we consider the possibility of realizing non-Abelian phases in topological minibands. We study a family of moir\'e systems, skyrmion Chern band models, which can be realized in two-dimensional semiconductor-magnet heterostructures and also capture the essence of twisted transition metal dichalcogenide homobilayers. We show using many-body exact diagonalization that, in spite of strong Berry curvature variations in momentum space, the non-Abelian Moore-Read state can be realized at half filling of the second miniband. These results demonstrate the feasibility of non-Abelian fractionalization in moir\'e systems without Landau levels and shed light on the desirable conditions for their realization. In particular, we highlight the prospect of realizing the Moore-Read state in twisted semiconductor bilayers.

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Aidan P. Reddy, Nisarga Paul, Ahmed Abouelkomsan, Liang Fu. 2024-02-29. Non-Abelian fractionalization in topological minibands. https://doi.org/10.1103/physrevlett.133.166503

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