Thursday, June 21, 2012

1201.4165 (Bo Yang et al.)

Model Wavefunctions for the Collective Modes and the Magneto-roton
Theory of the Fractional Quantum Hall Effect
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Bo Yang, Zi-Xiang Hu, Z. Papic, F. D. M. Haldane
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.
View original: http://arxiv.org/abs/1201.4165

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