The Absence of the Fractional Quantum Hall Effect at High Landau Levels

Details The Absence of the Fractional Quantum Hall Effect at High Landau Levels The Absence of the Fractional Quantum Hall Effect at High Landau Levels

1996-02-25

arxiv.org/abs/cond-mat/9602128v1

Physics

Condensed Matter

12 pages, revtex, 2 PostScript figures are applied. Revised and corrected version. Also available at http://www.mnhep.umn.edu/

Scientific paper

We compare the energies of the Laughlin liquid and a charge density wave in a weak magnetic field for the upper Landau level filling factors $\nu_N = 1/3$ and $1/5$. The charge density wave period has been optimized and was found to be $\simeq 3R_c$, where $R_c$ is the cyclotron radius. We conclude that the optimal charge density wave is more energetically preferable than the Laughlin liquid for the Landau level numbers $N \ge 2$ at $\nu_N = 1/3$ and for $N \ge 3$ at $\nu_N = 1/5$. This implies that the $1/3$ fractional quantum Hall effect cannot be observed for $N \ge 2$, in agreement with the experiment.

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