Scaling Relations for Gaps in Fractional Quantum Hall States
Mesoscale and Nanoscale Physics
2009-10-31 v1
Abstract
The microscopic approach of Murthy and Shankar, which has recently been used to calculate the transport gaps of quantum Hall states with fractions p/(2ps+1), also implies scaling relations between gaps within a single sequence (fixed s) as well as between gaps of corresponding states in different sequences. This work tests these relations for a system of electrons in the lowest Landau level interacting with a model potential cutoff at high momenta due to sample thickness.
Keywords
Cite
@article{arxiv.cond-mat/9807387,
title = {Scaling Relations for Gaps in Fractional Quantum Hall States},
author = {Ganpathy Murthy and K. Park and R. Shankar and J. K. Jain},
journal= {arXiv preprint arXiv:cond-mat/9807387},
year = {2009}
}