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arXiv · 1806.00029

Jain hierarchy for the Fractional Quantum Hall Effect

A. A. Ovchinnikov
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Abstract

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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A. A. Ovchinnikov. 2018-05-29. Jain hierarchy for the Fractional Quantum Hall Effect. https://doi.org/10.1016/j.physleta.2018.05.016

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