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DESCRIPTION:Ganpathy Murthy\, University of Kentucky\n\nUnderstanding the c
ombined effects of disorder and interactions in\nelectronic systems has em
erged as one of the most challenging\ntheoretical problems in condensed ma
tter physics. It turns out that\none can solve this problem non-perturbati
vely in both disorder and\ninteractions in the regime when the system is f
inite (as in a quantum\ndot) but its dimensionless conductance g under ope
n-lead conditions\nis large. This regime is experimentally interesting for
the statistics\nof Coulomb Blockade in quantum dots and persistent curren
ts in rings\nthreaded by a flux. First some RG work will be described whic
h shows\nthat a disordered quantum dot with Fermi liquid interactions can
be in\none of two phases\; one controlled by the so-called Universal\nHami
ltonian and another regime where interactions become large. These\ntwo are
separated in the infinite-g limit by a second-order phase\ntransition. I
will show how to solve for the strong-coupling phase\, which is\ncharacter
ized by a Fermi surface distortion\, by a large-N\napproximation (where N=
g is in fact large for realistic\nsystems). Predictions will be presented
for finite but large g for\nthe statistics of the Coulomb Blockade peak sp
acings and other\ncorrelators. Finally\, the relationship of these results
to\npuzzles in persistent currents in mesoscopic rings will be\npresented
.
DTSTART:20030321T210000Z
LOCATION:Physics Building\, Room 204
SUMMARY:Interactions and Disorder in Quantum Dots: A New Large-g Approach
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