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

Abstract

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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References in corpus (1)

• A dipole interpretation of the $\nu =1/2$ state

Cited by in corpus (4)

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• Meron excitations in the nu =1 quantum Hall bilayer and the plasma analogy
• Status of the Fermi surface in mixed composite boson - composite fermion quantum Hall states
• On the geometrical description of fractional Chern insulators based on static structure factor calculations