Hamiltonian Description of Composite Fermions: Calculation of Gaps
Mesoscale and Nanoscale Physics
2009-10-31 v2
Abstract
We analytically calculate gaps for the 1/3, 2/5, and 3/7 polarized and partially polarized Fractional Quantum Hall states based on the Hamiltonian Chern-Simons theory we have developed. For a class of potentials that are soft at high momenta (due to the finite thickness of the sample) we find good agreement with numerical and experimental results.
Keywords
Cite
@article{arxiv.cond-mat/9806380,
title = {Hamiltonian Description of Composite Fermions: Calculation of Gaps},
author = {Ganpathy Murthy and R. Shankar},
journal= {arXiv preprint arXiv:cond-mat/9806380},
year = {2009}
}
Comments
4 pages, 2 eps figures. One reference added, some typos (one in equation 7) corrected, and minor notational modifications