Parafermions in Moiré Minibands

Fuente: arXiv
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Hauptverfasser: Liu, Hui, Perea-Causin, Raul, Bergholtz, Emil J.
Format: Preprint
Veröffentlicht: 2024
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author Liu, Hui
Perea-Causin, Raul
Bergholtz, Emil J.
author_facet Liu, Hui
Perea-Causin, Raul
Bergholtz, Emil J.
contents Moiré 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 moiré-based non-Abelian FCIs exhibiting Fibonacci parafermion excitations.
format Preprint
id arxiv_https___arxiv_org_abs_2406_08546
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Parafermions in Moiré Minibands
Liu, Hui
Perea-Causin, Raul
Bergholtz, Emil J.
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Moiré 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 moiré-based non-Abelian FCIs exhibiting Fibonacci parafermion excitations.
title Parafermions in Moiré Minibands
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2406.08546