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• W2783534106 abstract "Abstract A combinatorial group theory in the braid groups is correlated with the unusual “anyon” statistic of particles in 2D Hall system in the fractional quantum regime well. On this background has been derived cyclotron band generator as a modification and generalization band generator, first established to solve the word and conjugacy problems in the braid group terms. Topological commensurability condition has been embraced by canonical factors – like, based on the concept of parallel descending cycles. Owing to this we can mathematically capture the general hierarchy of correlated states in the lowest Landau level, describing the fractional quantum Hall effect hierarchy, in terms of cyclotron band generators, especially for those being beyond conventional composite fermions model. It has been also shown that cyclotron braid subgroups, developed for interpretation of Laughlin correlations, are a special case of the right-angled Artin groups." @default.
• W2783534106 created "2018-01-26" @default.
• W2783534106 creator A5076814183 @default.
• W2783534106 date "2018-03-01" @default.
• W2783534106 modified "2023-10-01" @default.
• W2783534106 title "Topological model of composite fermions in the cyclotron band generator picture: New insights" @default.
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• W2783534106 doi "https://doi.org/10.1016/j.rinp.2018.01.014" @default.
• W2783534106 hasPublicationYear "2018" @default.
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