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Real-time renormalization group and charge fluctuations in quantum dots

Schoeller1, Konig

  • 1Forschungszentrum Karlsruhe, Institut fur Nanotechnologie, 76021 Karlsruhe, Germany and Institut fur Theoretische Festkorperphysik, Universitat Karlsruhe, 76128 Karlsruhe, Germany.

Physical Review Letters
|October 6, 2000
PubMed
Summary

We developed a real-time renormalization-group method to study quantum systems out of equilibrium. This approach accurately calculates conductance in models with electron interactions and environmental effects.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Describing nonequilibrium properties of quantum systems is challenging.
  • Existing methods often struggle with energy broadening, dissipation, and interactions.

Purpose of the Study:

  • To develop a real-time, cutoff-independent perturbative renormalization-group (RG) method.
  • To apply this method to study the nonequilibrium Anderson impurity model.

Main Methods:

  • Perturbative renormalization-group in real time.
  • Inclusion of energy broadening and dissipation.
  • Development of a cutoff-independent formalism.

Main Results:

  • Quantitatively reliable results for linear and nonlinear conductance.

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  • Analysis of the mixed-valence and empty-orbital regimes.
  • Consideration of finite on-site Coulomb repulsion.

    • Conclusions:

    • The developed RG method provides an accurate and versatile tool for nonequilibrium quantum systems.
    • The method successfully describes complex phenomena like conductance in interacting impurity models.