Jain hierarchy for the Fractional Quantum Hall Effect
arXiv:1806.00029 · doi:10.1016/j.physleta.2018.05.016
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.
5 pages, LaTex