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

Abstract

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 $k(\epsilon )$.

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

References in corpus (3)

• Kondo Effect in Fermi Systems with a Gap: A Renormalization Group Study
• Exactly Solvable Model of Superconducting Magnetic Alloys
• Bethe ansatz approach to thermodynamics of superconducting magnetic alloys

Cited by in corpus (1)

• Ground State Properties of Anderson Impurity in a Gapless Host