Abstract
In this paper, we have used the Periodic Anderson Model (PAM) for the half-filled band and introduced electron-phonon interaction in the normal state of the HF system. Using Zubarev type double time temperature dependent Green function the sound velocity and the reduced value of the elastic constant Ĉ = C/C0 is evaluated in presence of electron–Phonon interaction to explain the experimental anomalies seen at various temperature. The calculated renormalized elastic constants are analyzed for different system parameters like effective coupling strength ‘g’, the position of f-level ‘d’ and the onsite coulomb interaction ‘U’ and the wave vector ‘q’. The results obtained are found to give good agreement with the general features observed experimentally for CeAl3 HF system.
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