Study of Ultrasonic Attenuation in f-Electron Systems in the Ferromagnetic Limit of Coulomb Interaction
In order to study the ultrasonic attenuation in f-electron systems, we report here a microscopic model based on Periodic Anderson Model, in which Coulomb interaction in the ferromagnetic limit is considered within a mean-field approximation for a weak interaction. The phonon is coupled to the hybridization and f-electrons. The phonon Green's function is calculated by Zubarev's technique of the Green's function method. The temperature dependent ultrasonic attenuation co-efficient is calculated from the imaginary part of the phonon self-energy in the dynamic and long wave length limit. The f-electron occupation numbers for up and down spin electrons are calculated self-consistently in ferromagnetic limit of Coulomb interaction. The effect of the Coulomb interaction on ultrasonic attenuation is studied by varying the phonon coupling parameters to the conduction and f-electrons, hybridization strength, the position of f-level and the Coulomb interaction strength. Results are discussed on the basis of experimental results.
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Document Type: Research Article
Publication date: February 1, 2016
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