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Study of Ultrasonic Attenuation in f-Electron Systems in the Ferromagnetic Limit of Coulomb Interaction

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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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Keywords: ELECTRON-PHONON INTERACTION; HEAVY FERMION SYSTEM; NARROW BAND SYSTEM; ULTRASONIC ATTENUATION

Document Type: Research Article

Publication date: February 1, 2016

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  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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