A two-dimensional harmonic oscillator, when rotated by the oscillator frequency, generates Landau-like levels. A further cranking results in condensates and gaps resembling the fractional quantum Hall effect. For a filling fraction $\nu=p/q$, with $q$ odd, the model predicts that the gap is proportional to $\sqrt{ n_{ e}/pq}$, where $n_{ e}$ is the electron density of the sample. This agrees well with recent experimental data. Qualitative arguments for the success of the model are given.
Categories: cond-mat