Numerical study of Kondo impurity models with strong potential scattering: - reverse Kondo effect and antiresonance -

TL;DR

This study uses advanced numerical methods to explore how strong potential scattering affects transport and spectral properties in Kondo impurity systems, revealing phenomena like the antiresonance and deviations from standard Kondo behavior.

Contribution

The paper provides detailed numerical analysis of Kondo impurity models with potential scattering, highlighting the antiresonance and revising the understanding of the t-matrix and optical theorem in these systems.

Findings

Resistivity decreases with temperature under strong potential scattering.

Quasi-particle density of states shows antiresonance around the Fermi level.

Magnetic susceptibility remains universal despite potential scattering.

Abstract

Accurate numerical results are derived for transport properties of Kondo impurity systems with potential scattering and orbital degeneracy. Using the continuous-time quantum Monte Carlo (CT-QMC) method, static and dynamic physical quantities are derived in a wide temperature range across the Kondo temperature T_K. With strong potential scattering, the resistivity tends to decrease with decreasing temperature, in contrast to the ordinary Kondo effect. Correspondingly, the quasi-particle density of states obtains the antiresonance around the Fermi level. Thermopower also shows characteristic deviation from the standard Kondo behavior, while magnetic susceptibility follows the universal temperature dependence even with strong potential scattering. It is found that the t-matrix in the presence of potential scattering is not a relevant quantity for the Friedel sum rule, for which a proper limit of the f-electron Green's function is introduced. The optical theorem is also discussed in the context of Kondo impurity models with potential scattering. It is shown that optical theorem holds not only in the Fermi-liquid range but also for large energies, and therefore is less restrictive than the Friedel sum rule.