Abstract

In this paper the microscopic theory of the relative change in velocity of sound with temperature of the cuprate systems in normal state is reported. The phonon Green function is calculated using the Green function technique of Zubarev in the limit of zero wave vector and small temperature. The Fulde electronic Hamiltonian in the presence of the phonon interaction with hybridisation between the conduction electrons and the f-electrons is used. The relative change in velocity of sound at various temperatures is studied for different model parameters namely the position of the f-level, the effective phonon coupling strength, staggered magnetic field and hybridisation strength. The phonon anomalies observed experimentally at different temperatures are explained theoretically. An abrupt change in velocity at Neel temperature ( T N ) is observed clearly. It is observed that different parameters influence the velocity of sound and Neel temperature substantially.

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