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Adiabatic pumping in interacting systems.

Eran Sela1, Yuval Oreg

  • 1Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, 76100, Israel.

Physical Review Letters
|May 23, 2006
PubMed
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Researchers developed a general formula for adiabatic pumping current in interacting systems. For a quantum critical system, pumped spin approaches h when the quantum critical point is in the pumping trajectory, otherwise it approaches zero.

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Mesoscopic Physics

Background:

  • Adiabatic pumping of charge current in interacting systems is a key phenomenon in mesoscopic physics.
  • Existing methods often rely on noninteracting particle approximations, limiting their applicability to complex systems.

Purpose of the Study:

  • To derive a general expression for the adiabatic pumping current in interacting systems.
  • To investigate the applicability of this expression, particularly in quantum critical systems.
  • To analyze spin pumping in a two-channel Kondo model.

Main Methods:

  • Derivation of a general formula for adiabatic pumping current based on equilibrium properties.
  • Application of the formula to a quantum critical system exhibiting the two-channel Kondo effect.

Related Experiment Videos

  • Analysis of spin pumping behavior as a function of the pumping trajectory and temperature.
  • Main Results:

    • A general expression for adiabatic pumping current in interacting systems was established, extending the scattering approach.
    • For a two-channel Kondo model, pumped spin approaches Planck's constant (h) if the quantum critical point is within the pumping trajectory.
    • Pumped spin approaches zero as temperature approaches absolute zero if the quantum critical point is outside the trajectory.

    Conclusions:

    • The derived formula provides a powerful tool for studying quantum transport in interacting systems.
    • The study reveals distinct spin pumping behaviors in quantum critical systems depending on the pumping trajectory.
    • Non-Fermi liquid characteristics at finite temperatures were discussed in the context of the two-channel Kondo effect.