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Non-Abelian fractionalization in topological minibands
- Publication Year :
- 2024
-
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 (SCB) models, which can be realized in two-dimensional semiconductor/magnetic skyrmion heterostructures and also capture the essence of twisted transition metal dichalcogenide (TMD) 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.<br />Comment: V1: 5 pages, 4 figures. V2: 5 pages, 5 figures. Added exact diagonalization results for twisted MoTe2. V3: 5 pages, 5 figures (main) + 13 pages, 9 figures (SM). Added results on Pfaffian vs anti-Pfaffian
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2403.00059
- Document Type :
- Working Paper