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Debye–Huckel–Onsager Conductance Equation01:28

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The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect. According to this equation,...
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Related Experiment Video

Updated: Jun 2, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Exact crossover Green function in the two-channel and two-impurity Kondo models.

Eran Sela1, Andrew K Mitchell, Lars Fritz

  • 1Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany.

Physical Review Letters
|May 13, 2011
PubMed
Summary

Symmetry breaking causes a shift from non-Fermi liquid to Fermi liquid physics in Kondo models. An analytical function accurately describes this crossover, agreeing with numerical results and suggesting experimental observability.

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Area of Science:

  • Condensed matter physics
  • Quantum many-body systems

Background:

  • The Kondo model describes the interaction between localized magnetic impurities and conduction electrons.
  • Non-Fermi liquid behavior deviates from the standard Fermi liquid theory in certain electronic systems.
  • Symmetry-breaking perturbations are crucial for understanding phase transitions and crossovers in quantum models.

Purpose of the Study:

  • To analytically calculate the crossover Green function for symmetry-breaking perturbations in two-channel and two-impurity Kondo models.
  • To establish an analogy between Kondo model crossovers and those in the boundary Ising model.
  • To provide a theoretical framework applicable to experimental observations in quantum dots.

Main Methods:

  • Utilizing an analogy with the boundary Ising model to derive an analytical solution.
  • Calculating the full crossover Green function.
  • Comparing analytical results with numerical renormalization group (NRG) calculations.

Main Results:

  • A single, exact analytical function was found to describe the crossover for arbitrary mixtures of perturbations.
  • The analytical function shows remarkable agreement with NRG calculations.
  • The study elucidates the rich behavior arising from channel asymmetry, interlead charge transfer, and magnetic fields.

Conclusions:

  • Symmetry-breaking perturbations drive a crossover from non-Fermi liquid to Fermi liquid behavior in Kondo models.
  • The derived analytical function provides a unified description of this crossover.
  • The findings are expected to be observable in quantum dot and tunneling experiments, offering insights into condensed matter phenomena.