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Journal of Low Temperature Physics

, Volume 3, Issue 5, pp 519–536 | Cite as

On the theory of the Kondo effect

  • A. A. Abrikosov
  • A. A. Migdal
Article

Abstract

The Kondo effect is investigated by methods developed in the theory of fields with strong coupling. Renormalizability relations analogous to the scaling laws in the theory of second-order phase transitions are found. The behavior of the scattering amplitude of an electron by an impurity is analyzed as a function of the electron energy. Formulas are derived for the resistance as a function of the temperature and for the magnetic moment as a function of the magnetic field and temperature. For the antiferromagnetic interaction sign the resistance tends to a constant and the magnetic moment to zero asT → 0 according to power laws with universal exponents that depend only on the spin of the impurity. For sufficiently large spin the susceptibility tends to infinity asT → 0.

Keywords

Magnetic Field Phase Transition Interaction Sign Electron Energy Magnetic Material 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1970

Authors and Affiliations

  • A. A. Abrikosov
    • 1
  • A. A. Migdal
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsAcademy of Sciences of the USSRMoscowUSSR

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