Occupation Numbers of a Half-Filled Landau Level

Details Occupation Numbers of a Half-Filled Landau Level Occupation Numbers of a Half-Filled Landau Level

1998-10-21

arxiv.org/abs/cond-mat/9810267v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

We demonstrate that a theory of the edge of a half-filled Landau level recently proposed by Lee and Wen predicts results for the edge occupation number similar to those of a variational trial wave function proposed previously by us. We treat Lee and Wen's edge action of a half-filled Landau level within the framework of bosonization theory, and show that the momentum occupation numbers are determined by a product of two Green's functions, one charged and one neutral. In the bulk region ($k<0$) we find a linear occupation profile, $n_k \propto A+Bk$, while in the tail region ($k>0$) it is exponentially decaying over the range $k\sim\Ln$, the momentum cutoff for neutral mode. We find a good fit with the numerical results for occupation numbers.

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