Dresden 2006 – scientific programme
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TT: Tiefe Temperaturen
TT 7: Superconductivity & Solids At Low Temperature - Poster Session
TT 7.43: Poster
Monday, March 27, 2006, 14:00–17:45, P1
Adiabatic pumping in a Superconductor-Normal-Superconductor weak link — •Michele Governale1,2, Fabio Taddei2, Rosario Fazio2, and Frank Hekking3 — 1Institut für Theoretische Physik III, Ruhr-Universität Bochum, D-44780 Bochum, Germany — 2NEST-CNR-INFM & Scuola Normale Superiore, I-56126 Pisa, Italy — 3LPMMC, CNRS & Université Joseph Fourier, BP 166, 38042 Grenoble CEDEX 9, France
Pumping consists in the transport of particles obtained by varying periodically in time some properties of a mesoscopic conductor[1].
We present a formalism to study adiabatic pumping between two superconducting terminals connected through a normal region, where charging effects are negligible (superconductor - normal -superconductor weak link). In this system, at low enough temperature, pumping is due to the adiabatic transport of Cooper pairs, and the pumped charge is related to the Berry phase accumulated, in a pumping cycle, by the Andreev bound states. We analyze in detail the case when the normal region is short compared to the superconducting coherence length. In this regime, the pumped charge turns out to be an even function of the superconducting phase difference. Hence, it can be distinguished from the charge transferred due to the standard Josephson effect.
[1] P.W. Brouwer, Phys. Rev. B 58, R10135 (1998).