Fractional Quantum Hall Effect, Cranked Harmonic Oscillator, and Classical Periodic Orbits
Condensed Matter
2007-05-23 v1
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 , with odd, the model predicts that the gap is proportional to , where is the electron density of the sample. This agrees well with recent experimental data. Qualitative arguments for the success of the model are given.
Keywords
Cite
@article{arxiv.cond-mat/9307041,
title = {Fractional Quantum Hall Effect, Cranked Harmonic Oscillator, and Classical Periodic Orbits},
author = {R. K. Bhaduri and Shuxi Li and Kaori Tanakaa and J. C. Waddington},
journal= {arXiv preprint arXiv:cond-mat/9307041},
year = {2007}
}
Comments
13p (9 pages for the text and 4 figures)