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    Quantum mechanics of the fractional-statistics gas: Random-phase approximation

    Q. Dai, J. L. Levy, and A. L. Fetter

    C. B. Hanna

    R. B. Laughlin

    • Department of Physics, Stanford University, Stanford, California 94305

    • IBM Research Division, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598

    • Department of Physics, Stanford University, Stanford, California 94305
    • Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, California 94550

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    Phys. Rev. B 46, 5642 – Published 1 September, 1992

    DOI: https://doi.org/10.1103/PhysRevB.46.5642

    Abstract

    A description of the fractional-statistics gas based on the complete summation of Hartree, Fock, ladder and bubble diagrams is presented. The superfluid properties identified previously in the random-phase-approximation (RPA) calculation of Fetter, Hanna, and Laughlin [Phys. Rev. B 39, 9679 (1989)] are substantially confirmed. The discrepancy between the RPA sound speed and the Hartree-Fock bulk modulus is found to be eliminated. The unusual Hall-effect behavior is found to vanish for the Bose gas test case but not for the fractional-statistics gas, implying that it is physically correct. Excellent agreement is obtained with the collective-mode dispersion obtained numerically by Xie, He, and Das Sarma [Phys. Rev. Lett. 65, 649 (1990)].

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    Phys. Rev. B 46, 5642– Published 1 September, 1992
    • Received 4 October 1991

    © 1992 American Physical Society

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