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Related Experiment Videos

Superconducting vortices in ac fields: does the Kohn theorem work?

N B Kopnin1, V M Vinokur

  • 1Low Temperature Laboratory, Helsinki University of Technology, P.O. Box 2200, FIN-02015 HUT Finland.

Physical Review Letters
|July 20, 2001
PubMed
Summary
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Researchers derived the electrodynamics of type II superconductors using Boltzmann kinetic equations. They identified conditions for vortex cyclotron resonance and explained its deviation from the Kohn theorem.

Area of Science:

  • Condensed Matter Physics
  • Superconductivity Theory

Background:

  • Type II superconductors exhibit complex electrodynamic behavior in the mixed state, characterized by magnetic vortices.
  • Understanding the dynamics of these vortices is crucial for applications and fundamental physics.
  • Previous models often simplified the system, neglecting detailed excitation kinetics.

Purpose of the Study:

  • To derive the electrodynamics of clean, pinning-free type II superconductors in the mixed state.
  • To determine the conditions necessary for observing vortex cyclotron resonance.
  • To investigate the theoretical reasons behind the observed resonance's incompatibility with the Kohn theorem.

Main Methods:

  • Application of Boltzmann kinetic equations for excitations within the superconductor.

Related Experiment Videos

  • Analysis of the derived equations to identify resonance conditions.
  • Theoretical comparison with established theorems like the Kohn theorem.

    • Main Results:

    • A theoretical framework for the electrodynamics of clean type II superconductors in the mixed state was established.
    • The specific conditions for the occurrence of vortex cyclotron resonance were determined.
    • A discrepancy between the predicted resonance and the Kohn theorem was identified and explained.

    Conclusions:

    • The Boltzmann kinetic approach provides a robust method for studying superconductor electrodynamics.
    • Vortex cyclotron resonance in this system does not adhere to the Kohn theorem due to specific underlying physics.
    • This work offers new insights into the behavior of excitations in superconductors.