Jain hierarchy for the Fractional Quantum Hall Effect.

@inproceedings{AAOvchinnikov2018JainHF,
  title={Jain hierarchy for the Fractional Quantum Hall Effect.},
  author={A.A.Ovchinnikov},
  year={2018}
}
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.