Hamiltonian Description of Composite Fermions: Calculation of Gaps
arXiv:cond-mat/9806380 · doi:10.1103/PhysRevB.59.12260
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.
4 pages, 2 eps figures. One reference added, some typos (one in equation 7) corrected, and minor notational modifications