Informal Lunch-Time Theoretical Seminar
12 noon, Friday, February 16, 2001
Room 2202, Physics Building
Bulk and edge correlations in the compressible quantum Hall state
Milica Milovanovic
(Department of Physics and Astronomy, University of Oklahoma)
Abstract: We study correlations in the trial wave function
for the ground state of the metallic quantum Hall system at filling factor
one-half. First, correlations in the Laughlin (incompressible) state
are reviewed. They, as will be emphasized, are reflections of the
underlying physics in the state: each electron is attracted to the correlation
hole that other electrons build. Then, the correlations in the compressible
state are discussed. They were found 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 case, while
bulk correlations decay in the same way. We conclude that the (attractive)
correlation hole is not well defined on the edge.
Host: Victor Yakovenko
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