Hamiltonian Description of Composite Fermions: Calculation of Gaps

Ganpathy Murthy; R. Shankar

doi:10.1103/physrevb.59.12260

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Hamiltonian Description of Composite Fermions: Calculation of Gaps

Ganpathy Murthy·R. Shankar

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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.

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Ganpathy Murthy, R. Shankar. 1998-07-29. Hamiltonian Description of Composite Fermions: Calculation of Gaps. https://doi.org/10.1103/physrevb.59.12260

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