Bulk and edge correlations in the compressible half-filled quantum Hall state

Details Bulk and edge correlations in the compressible half-filled quantum Hall state Bulk and edge correlations in the compressible half-filled quantum Hall state

1998-12-15

arxiv.org/abs/cond-mat/9812254v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

package now includes the file epsfig.sty, needed to incorporate properly the 8 magnificent figures

Scientific paper

10.1103/PhysRevB.59.10757

We study bulk and edge correlations in the compressible half-filled state, using a modified version of the plasma analogy. The corresponding plasma has anomalously weak screening properties, and as a consequence we find that the correlations along the edge do not decay algebraically as in the Laughlin (incompressible) case, while the bulk correlations decay in the same way. The results suggest that due to the strong coupling between charged modes on the edge and the neutral Fermions in the bulk, reflected by the weak screening in the plasma analogue, the (attractive) correlation hole is not well defined on the edge. Hence, the system there can be modeled as a free Fermi gas of {\em electrons} (with an appropriate boundary condition). We finally comment on a possible scenario, in which the Laughlin-like dynamical edge correlations may nevertheless be realized.

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