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


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.


Magnetic Field Phase Transition Interaction Sign Electron Energy Magnetic Material 
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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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