Exactly solvable toy models of unconventional magnetic alloys: Bethe Ansatz versus Renormalization Group method

Details Exactly solvable toy models of unconventional magnetic alloys: Bethe Ansatz versus Renormalization Group method Exactly solvable toy models of unconventional magnetic alloys: Bethe Ansatz versus Renormalization Group method

1998-07-15

arxiv.org/abs/cond-mat/9807231v2

Physics

Condensed Matter

Strongly Correlated Electrons

A final version. A previous one has been sent to Archive because of my technical mistake. Sorry

Scientific paper

10.1103/PhysRevB.58.R11845

We propose toy models of unconventional magnetic alloys, in which the density of band states, $\rho(\epsilon)$, and hybridization, $t(\epsilon)$, are energy dependent; it is assumed, however, that $t^2(\epsilon)\propto\rho^{-1}(\epsilon)$, and hence an effective electron-impurity coupling $\Gamma(\epsilon)=\rho(\epsilon)t^2(\epsilon)$ is energy independent. In the renormalization group approach, the physics of the system is assumed to be governed by $\Gamma(\epsilon)$ only rather than by separate forms of $\rho(\epsilon)$ and $t(\epsilon)$. However, an exact Bethe Ansatz solution of the toy Anderson model demonstrates a crucial role of a form of inverse band dispersion $k(\epsilon)$.

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