Take the 2-minute tour ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free, no registration required.

The s-d interaction Hamiltonian is as fellows

$H_I=Js.S$, J is the coupling strength.

We focus on the antiferromagnetic case, where $J>0$.

According Anderson's poor man's scaling, the renormalized coupling strength $J$ increases as the band width $D$ decreases. Anderson originally did the scaling to the lowest order of $J$.

But the situation is different as $D$ decreases and even tend to zero. In this case, higher order terms become more and more important, since $J$ becomes bigger or even divergent. These higher order terms typically are different from s-d type.

To some extent, poor man's scaling loose its effect when $D$ is very small. Is it correct?

Thanks very much.

share|improve this question
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.