How does the Anderson model Hamiltonian contain the Kondo physics?

[Lonewolf]

A number of texts claim that the Hamiltonian for the Anderson model of a localised magnetic impurity contains the physics of the Kondo Hamiltonian. Does anyone have any suggestion for how to show this, or any reference that accounts for this?

 

[ZapperZ]

Er... I don't understand this. Isn't localized magnetic impurity a REQUIREMENT for a Kondo effect?

Zz.

 

[Lonewolf]

Yes, indeed. I'm asking for the maths that takes the Anderson to the Kondo hamiltonian more than the physics, I guess.

 

[ZapperZ]

Ah... I get it now. I'm dreading to look this up in Mahan's "Many-Particle Physics" text. Maybe someone else has a less-tedious way of answering this.

:)

Zz.

 

[ZapperZ]

Oh wait... try this:

J.R. Schriefer and P.A. Wolf, Phys. Rev. v.149, p.491 (1966).

Zz.

 

[Lonewolf]

Thanks a lot for the reference! I'm not sure that it could be any more relevant.