Condensed Matter > Mesoscale and Nanoscale Physics
[Submitted on 29 May 2018]
Title:Jain hierarchy for the Fractional Quantum Hall Effect
View PDFAbstract:We propose the effective hierarchical partition function which is able to describe both the Jain states and the Jain-type hierarchical states. Using this partition function (effective Lagrangian) we calculate the charge of the quasiparticle excitations. We show that the Jain-type hierarchical states are equivalent to the system of anyons in the external magnetic field.
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