# Dresden 2006 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

# TT: Tiefe Temperaturen

## TT 5: Transport: Nanoelectronics I - Quantum Dots, Wires, Point Contacts - Part 1

### TT 5.7: Vortrag

### Montag, 27. März 2006, 11:30–11:45, HSZ 304

**Adiabatic Pumping through Interacting Quantum Dots** — •Janine Splettstoesser^{1,2}, Michele Governale^{1,2}, Jürgen König^{2}, and Rosario Fazio^{1} — ^{1}Scuola Normale Superiore, Piazza dei Cavalieri, I-56126 Pisa — ^{2}Institut für Theoretische Physik, Ruhr-Universität Bochum, D-44780 Bochum

By periodically changing in time some parameters of a conductor a DC current
can be produced without applying a bias voltage. This effect is known as
*pumping*. In case of non-interacting electrons Brouwer’s formula
provides a general framework for the computation of the
pumped charge [1]. The situation is profoundly different for pumping through
interacting systems. In fact, there are only few works that address this
problem with methods suited to tackle specific systems/regimes.
We present a general formalism to study adiabatic pumping through interacting
quantum dots. We derive a formula that relates the pumped charge to the local,
instantaneous Green’s function of the dot. This formula is
then applied to the infinite-*U* Anderson model both for weak and
strong tunnel-coupling strengths [2].

[1] P. W. Brouwer, Phys. Rev. B **58**, R10135 (1998).

[2] J. Splettstoesser, M. Governale, J. König, R.Fazio, cond-mat/0506080 (2005), to be published in PRL.