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

摘要

We construct model wavefunctions for the collective modes of fractionalquantum Hall systems. The wavefunctions are expressed in terms of symmetricpolynomials characterized by a root partition and a "squeezed" basis, and showexcellent agreement with exact diagonalization results for finite systems. Inthe long wavelength limit, the model wavefunctions reduce to those predicted bythe single-mode approximation, and remain accurate at energies above thecontinuum of roton pairs.