Hamiltonian Description of Composite Fermions: Calculation of Gaps

Details Hamiltonian Description of Composite Fermions: Calculation of Gaps Hamiltonian Description of Composite Fermions: Calculation of Gaps

1998-06-30

arxiv.org/abs/cond-mat/9806380v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 eps figures. One reference added, some typos (one in equation 7) corrected, and minor notational modifications

Scientific paper

10.1103/PhysRevB.59.12260

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.

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