Abstract
The single mode approximation has proved useful for the excitation spectrum at ν=1/3. We apply it to general fractions and find that it predicts n magneto-roton minima in the dispersion of the Girvin–MacDonald–Platzman collective mode for the fractional quantum Hall states at ν= n/(2 n+1), and one magneto-roton minimum for both the composite Fermi sea and the paired composite fermion state. Experimental relevance of the results will be considered.
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