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

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 Laughl...

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Bibliographic Details
Published in:arXiv.org 1998-12
Main Authors: Milovanović, Milica V, Shimshoni, Efrat
Format: Article
Language:English
Subjects:
Boundary conditions
Compressibility
Computational fluid dynamics
Correlation analysis
Decay
Fermions
Screening
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9812254