Work

Fractional Quantum Hall Effect, Cranked Harmonic Oscillator, and Classical Periodic Orbits

Year: 1993
Type: preprint
Abstract: 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 $ν=p/q$, 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.
Language: English
Open Access status: green
OpenAlex ID: W1670945629
Cites:
Cited by:
Related to: 10