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Enhanced Kondo effect in an electron system dynamically coupled with local optical phonon

Hotta, Takashi

We discuss Kondo behavior of a conduction electron system coupled with local optical phonon by analyzing the Anderson-Holstein model with the use of a numerical renormalization group method. For $$U_{rm ee}>U_{rm ph}$$ with Coulomb interaction $$U_{rm ee}$$ and phonon-mediated attraction $$U_{rm ph}$$, we observe the standard Kondo effect concerning spin degree of freedom and the Kondo temperature $$T_{rm K}$$ is increased when $$U_{rm ph}$$ is increased. On the other hand, for $$U_{rm ee}<U_{rm ph}$$, there occurs the Kondo effect concerning charge degree of freedom and $$T_{rm K}$$ is decreased with the increase of $$U_{rm ph}$$. Namely, $$T_{rm K}$$ should be maximized for $$U_{rm ee}=U_{rm ph}$$. Then, we analyze in detail the Kondo behavior at $$U_{rm ee}=U_{rm ph}$$, which is found to be explained by the polaron Anderson model. By comparing the results of the polaron Anderson model with those of the original Anderson-Holstein model, we clarify the Kondo behavior in the competing region of $$U_{rm ee}=U_{rm ph}$$.

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Category:Physics, Multidisciplinary

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