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Adiabatic pumping in a superconductor-normal-superconductor weak link.

M Governale1, F Taddei, Rosario Fazio

  • 1NEST-CNR-INFM & Scuola Normale Superiore, I-56126 Pisa, Italy.

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|December 31, 2005
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Summary

We developed a method to study adiabatic pumping in superconductor-normal-superconductor junctions. The pumped charge, related to Berry phase, is an even function of phase difference, distinguishing it from Josephson effects.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics

Background:

  • Superconductor-normal-superconductor (SNS) junctions are key in quantum electronics.
  • Understanding charge transport in these systems is crucial for device applications.

Purpose of the Study:

  • To develop a theoretical framework for adiabatic pumping in SNS weak links.
  • To investigate the relationship between pumped charge and Berry phase at zero temperature.

Main Methods:

  • Formalism for studying adiabatic pumping through SNS weak links.
  • Analysis of Andreev bound states and their accumulated Berry phase.
  • Detailed examination of short normal region cases.

Main Results:

  • Pumped charge is directly related to the Berry phase accumulated by Andreev bound states.
  • The pumped charge is an even function of the superconducting phase difference.
  • This even function property allows differentiation from standard Josephson effects.

Conclusions:

  • The proposed formalism provides a new way to study adiabatic pumping in SNS junctions.
  • The distinct nature of the pumped charge offers potential for novel electronic devices.
  • Experimental verification of the even function dependence could confirm theoretical predictions.