A new collective mode in the fractional quantum Hall liquid

ORAL

Abstract

We apply the methods of continuum mechanics to the study of the collective modes of the fractional quantum Hall liquid. Our main result is that at long wavelength there are {\it two} distinct modes of oscillations, while previous theories predicted only {\it one}. The two modes are shown to arise from the internal dynamics of shear stresses created by the Coulomb interaction in the liquid. Our prediction is supported by recent light scattering experiments, which report the observation of two long-wavelength modes in a quantum Hall liquid.

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Authors

  • G. Vignale

    University of Missouri-Columbia, University of Missouri, Department of Physics and Astronomy, University of Missouri, Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA, Department of Physics and Astronomy, University of Missouri, Columbia, Missouri, USA

  • Ilya Tokatly

    Universit\"at Erlangen-N\"urnberg