Magnetoresistance in the s-d Model with Arbitrary Impurity Spin

TL;DR

This paper derives the ground state magnetoresistance, localized electron count, and phase shift in the s-d model with any impurity spin using Bethe ansatz, confirming known results for S=1/2 and re-examining theory-experiment comparisons.

Contribution

It provides a generalized analytical solution for magnetoresistance and related properties in the s-d model with arbitrary impurity spin using Bethe ansatz techniques.

Findings

Results match known solutions for S=1/2 impurity.

Provides new analytical expressions for arbitrary impurity spin.

Re-examines the comparison between theory and experiment for S=1/2.

Abstract

The magnetoresistance, the number of the localized electrons, and the s-wave scattering phase shift at the Fermi level for the s-d model with arbitrary impurity spin are obtained in the ground state. To obtain above results some known exact results of the Bethe ansatz method are used. As the impurity spin S = 1/2, our results coincide with those obtained by Ishii \textit{et al%}. The compairsion between the theoretical and experimental magneticresistence for impurity S = 1/2 is re-examined.