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arXiv · 1201.4165

Model Wavefunctions for the Collective Modes and the Magneto-roton Theory of the Fractional Quantum Hall Effect

Bo Yang·Zi-Xiang Hu·Z. Papic·F. D. M. Haldane
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Abstract

We construct model wavefunctions for the collective modes of fractional quantum Hall systems. The wavefunctions are expressed in terms of symmetric polynomials characterized by a root partition and a "squeezed" basis, and show excellent agreement with exact diagonalization results for finite systems. In the long wavelength limit, the model wavefunctions reduce to those predicted by the single-mode approximation, and remain accurate at energies above the continuum of roton pairs.

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Bo Yang, Zi-Xiang Hu, Z. Papic, F. D. M. Haldane. 2012-06-20. Model Wavefunctions for the Collective Modes and the Magneto-roton Theory of the Fractional Quantum Hall Effect. https://doi.org/10.1103/physrevlett.108.256807

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