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Related Experiment Videos

Adiabatic pumping through interacting quantum dots.

Janine Splettstoesser1, Michele Governale, Jürgen König

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

Physical Review Letters
|December 31, 2005
PubMed
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We developed a new method to calculate charge pumping in quantum dots. This approach links pumped charge to the dot

Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Mesoscopic systems

Background:

  • Adiabatic pumping is a key phenomenon in quantum transport.
  • Understanding charge pumping in interacting quantum dots is crucial for quantum device applications.
  • Existing models often struggle with strong interactions and varying coupling strengths.

Purpose of the Study:

  • To introduce a general theoretical framework for studying adiabatic charge pumping.
  • To establish a direct relationship between pumped charge and the Green's function.
  • To apply this formalism to a relevant model system, the Anderson model.

Main Methods:

  • Development of a general formalism for adiabatic pumping.
  • Derivation of a formula connecting pumped charge to the local, instantaneous Green's function.

Related Experiment Videos

  • Application of the formalism to the infinite-U Anderson model.

    • Main Results:

    • A novel formula relating pumped charge to the Green's function was derived.
    • The formalism was successfully applied to the Anderson model.
    • The method is applicable across a range of tunnel-coupling strengths, from weak to strong.

    Conclusions:

    • The presented formalism offers a powerful tool for analyzing adiabatic pumping in quantum dots.
    • The derived Green's function formula provides new insights into charge transport mechanisms.
    • This work facilitates the study of quantum dots with strong electron-electron interactions.