Abstract
In this article the microscopic theory of the temperature dependence of velocity of sound of superconducting heavy fermion system is reported. The Periodic Anderson Model Hamiltonion in presence of phonon interaction with the hybridisation between f-electron and conduction electrons as well as with the bare f-electron is taken for calculation. BCS type phonon mediated Cooper pairing is taken into consideration. The phonon Green function is calculated using the Green function technique of Zubarev in the limit of zero wave vector and small temperature in half filling band situation. The variation of velocity with temperature is calculated numerically and studied for different model parameters: phonon coupling parameters, position of f-level, Coulumb interaction parameter, hybridisation strength and superconducting gap parameter. It is observed that different parameters influence velocity of sound substantially except the phonon-coupling to f-electrons.
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