Jain hierarchy for the Fractional Quantum Hall Effect
Mesoscale and Nanoscale Physics
2018-07-04 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1806.00029,
title = {Jain hierarchy for the Fractional Quantum Hall Effect},
author = {A. A. Ovchinnikov},
journal= {arXiv preprint arXiv:1806.00029},
year = {2018}
}
Comments
5 pages, LaTex