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- W4385681993 abstract "Starting from Halperin multilayer systems we develop a hierarchical scheme that generates, bosonic and fermionic, single-layer quantum Hall states (or vacua) of arbitrary filling factor. Our scheme allows for the insertion of quasiparticle excitations with either Abelian or non-Abelian statistics and quantum numbers that depend on the nature of the original vacuum. Most importantly, it reveals a fusion mechanism for quasielectrons and magnetoexcitons that generalizes ideas about particle fractionalization introduced in Commun. Phys. 5, 171 (2022) for the case of Laughlin fluids. In addition, in the second quantization representation, we uncover the inherent topological quantum order characterizing these vacua. In particular, we illustrate the methodology by constructing generalized composite (generalized Read) operators for the non-Abelian Pfaffian and Hafnian quantum fluid states." @default.
- W4385681993 created "2023-08-09" @default.
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- W4385681993 date "2023-08-07" @default.
- W4385681993 modified "2023-10-14" @default.
- W4385681993 title "Fusion Mechanism for Quasiparticles and Topological Quantum Order in the Lowest-Landau-Level" @default.
- W4385681993 doi "https://doi.org/10.48550/arxiv.2308.03548" @default.
- W4385681993 hasPublicationYear "2023" @default.
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