1998/10/21 by J. H. Han, Han, J. H., S. -R. Eric Yang +1
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/9810267
arxiv created 1998/10/21 · arxiv updated 2009/11/30
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, nk ∝ A+Bk, while in the tail region (k>0) it is exponentially decaying over the range k∼\Ln, the momentum cutoff for neutral mode. We find a good fit with the numerical results for occupation numbers.