For distribution
CM ICTP - Trieste
cm at ictp.it
Mon Oct 1 14:12:44 CEST 2007
SEMINAR on Disorder and strong electron correlations
Thursday, 4 October - 11:00 a.m.
Seminar Room, Main Bldg.- first floor
A. SILVA ( The Abdus Salam I.C.T.P. )
"Adiabatic quantum pumping in interacting systems"
Abstract
Adiabatic quantum pumping in noninteracting, phase coherent systems is
elegantly described by Brouwer's formula. The latter expresses
geometrically the charge pumped per cycle in terms of the scattering
matrices. Interactions within the dot, while suppressing phase
coherence, make Brouwer's formalism inapplicable. In the presence of
interactions, is a geometric description of pumping still possible?
And what are the new, important physical processes brought in by the
presence of interaction? In this talk, I will discuss recent work
focusing on giving an answer to these questions. In particular, I will
discuss the interaction corrections to Brouwer's formula and show that
they are related to inelastic scattering events. As an illustrative
example to discuss the role of inelasticity in pumping I will consider
the effect of interaction with a bosonic bath on a resonant level
quantum pump. Finally, as a second example of interacting quantum
pump, I will describe the exact solution of the problem of pumping in
quantum dots in the Kondo regime (at the Toulouse point).
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