Relation between the Anderson and Kondo Hamiltonians

  title={Relation between the Anderson and Kondo Hamiltonians},
  author={J. Robert Schrieffer and Peter A. Wolff},
  journal={Physical Review},
A canonical transformation is used to relate the Anderson model of a localized magnetic moment in a dilute alloy to that of Kondo. In the limit of small $s\ensuremath{-}d$ mixing, which is the most favorable case for the occurrence of a moment, the two models are shown to be equivalent. The Anderson model thus has low-temperature anomalies similar to those previously discussed for the Kondo model. 
On the limits of application of Anderson and Kondo models in physics of strongly correlated electron systems
We argue that the Anderson and Kondo models turn out to be irrelevant for the description of some strongly correlated electron systems and suggest the mechanism for the formation of many-body states
Local Density of States in the Antiferromagnetic and Ferromagnetic Kondo Models
Based on a simple approximation scheme we have computed the local density of states (LDOS) of the antiferromagnetic and ferromagnetic Kondo models for the full range of band occupations and coupling
Density of states for the Anderson model
The Anderson model is studied in the limit U to infinity using a Green function decoupling procedure. It is shown that the solution gives the correct results in the intermediate valence case, and in
Finite-temperature properties of the two-orbital Anderson model
The metallic phase of the two-orbital Anderson lattice is studied in the limit of infinite spatial dimensions, where a second-order perturbation treatment is used to solve the single-site problem.


According to recent work by Kondo, the scattering cross section of an electron in exchange interaction with a paramagnetic impurity immersed in a Fermi sea of electrons has a logarithmic infinity as
Self-Consistent Treatment of Kondo's Effect in Dilute Alloys
We investigate how conduction electrons in dilute alloys are affected by the exchange interaction with localized spins of impurities. It is shown that, if the interaction is antiferromagnetic, the
Resistance Minimum in Dilute Magnetic Alloys
Based on the s-d interaction model for dilute magnetic alloys we have calculated the scattering probability of the conduction electrons to the second Born approximatism. Because of the dynamical
Localized Magnetic States in Metals
The conditions necessary in metals for the presence or absence of localized moments on solute ions containing inner shell electrons are analyzed. A self-consistent Hartree-Fock treatment shows that
g-Shift and Anomalous Hall Effect in Gadolinium Metals
It is shown that the coupling between spins of conduction and localized electrons due to a covalent mixing between them can be expressed by a usual exchange type interaction with negative
Electron scattering on magnetic impurities in metals and anomalous resistivity effects
A special quantum field theory technique for a system of spins was used to evaluate the resistivity of metals containing paramagnetic impurities, assuming