Kondo Effect of a Magnetic Ion Vibrating in a Harmonic Potential

Abstract

To discuss Kondo effects of a magnetic ion vibrating in the sea of conduction electrons, a generalized Anderson model is derived. The model includes a new channel of hybridization associated with phonon emission or absorption. In the simplest case of the localized electron orbital with the s-wave symmetry, hybridization with p-waves becomes possible. An interesting interplay among the conventional s-and p-wave Kondo effects and the Yu-Anderson-type Kondo effect is found, and the ground state phase diagram is determined by using the numerical renormalization group method. Two different types of stable fixed points are identified and the two-channel Kondo fixed points are generically realized at the boundary.

Effect of Anharmonicity on the Kondo Phenomena of a Magnetic Ion Vibrating in a Confinement Potential

“…In the same way as the previous studies, 12,13) we consider the situation that the ion vibrates in a one-dimensional potential.…”

Heavy-Electron Formation and Polaron–Bipolaron Transition in the Anharmonic Holstein Model

“…37) Quite recently, the vibration of magnetic ions has been explicitly included in the spinful Yu-Anderson model, and the twochannel Kondo effect has been comprehensively discussed. [38][39][40] not accompanied by any symmetry breaking. 23,24) It has been reported that electric resistivity is in proportion to T 2 for T < T p , while it behaves as / ffiffiffi ffi T p for T > T p .…”

Eu2+spin dynamics in the filled skutterudites EuM4Sb12(Garcia1, Adriano2, Cabrera3 et al. 2011Phys. Rev. B4060View full textAdd to dashboardCite

“…It also raises the question of weather or not an "electron glass", meaning a coupling between the guest ion dynamics and electronic degrees of freedom, could also be realized in these materials. Indeed, there are some recent theoretical proposals in this direction [9][10][11] . In experiments, there is evidence for an interplay between the rattling motion and quadrupolar fluctuations with the unconventional superconductivity in PrOs 4 Sb 12 12 .…”