Model Wave Functions for the Collective Modes and the Magnetoroton Theory of the Fractional Quantum Hall Effect

Yang, Bo; Hu, Zi-Xiang; Papić, Z.; Haldane, F.D. M.

doi:10.1103/PhysRevLett.108.256807

Model Wave Functions for the Collective Modes and the Magnetoroton Theory of the Fractional Quantum Hall Effect

Jun 19, 2012

Published in:

Phys.Rev.Lett. 108 (2012) 25, 256807

Published: Jun 19, 2012

DOI:

10.1103/PhysRevLett.108.256807

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Abstract: (APS)

We construct model wave functions for the collective modes of fractional quantum Hall systems. The wave functions are expressed in terms of symmetric polynomials characterized by a root partition that defines a ``squeezed'' basis, and show excellent agreement with exact diagonalization results for finite systems. In the long wavelength limit, we prove that the model wave functions are identical to those predicted by the single-mode approximation, leading to intriguing interpretations of the collective modes from the perspective of the ground-state guiding-center metric.

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