Parafermions in Moir\'e Minibands

Hui Liu; Raul Perea-Causin; Emil J. Bergholtz

doi:10.1038/s41467-025-57035-x

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arXiv · 2406.08546

Parafermions in Moir\'e Minibands

Hui Liu·Raul Perea-Causin·Emil J. Bergholtz

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Abstract

Moir\'e materials provide a remarkably tunable platform for topological and strongly correlated quantum phases of matter. Very recently, the first zero field Abelian fractional Chern insulators (FCIs) have been experimentally demonstrated and it has been theoretically predicted that non-Abelian states with Majorana fermion excitations may be realized in the nearly dispersionless minibands of these systems. Here we provide telltale evidence in terms of low-energy quantum numbers, spectral flow and entanglement spectra for the even more exotic possibility of moir\'e-based non-Abelian FCIs exhibiting Fibonacci parafermion excitations.

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Hui Liu, Raul Perea-Causin, Emil J. Bergholtz. 2024-06-12. Parafermions in Moir\'e Minibands. https://doi.org/10.1038/s41467-025-57035-x

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