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Professor H. Fertig
Superfluids and superconductors are known to possess a unique stiffness
related to the phase of their groundstate wavefunctions. Under appropriate
circumstances, double layer quantum Hall systems possess an analogous
stiffness that may be understood in terms of a condensation of particle-hole
pairs. The relation between these systems has motivated both theoretical
and experimental efforts to find properties in the bilayer quantum Hall
system usually associated with superfluids. Most prominently, effects
reminiscent of Josephson tunneling and counterflow superfluidity have
been observed, although there is considerable dissipation whose origin
is not understood. We study this system using both a renormalization group
analysis and Langevin dynamics simulations. We find that vortices have
a very unusual thermal deconfinement transition in this system, and can
also be broken apart at low temperature by disorder. A model that incorporates
the disorder leads to a coherence network in which puddles of high vortex
density, with the superfluid stiffness effectively eliminated, are separated
by narrow regions of coherence. We show that this model produces dissipation
in linear response that qualitatively agrees with experiment for both
tunneling and counterflow geometries.
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