Microscopic theory of Raman spectra in heavy fermion systems in Kondo-lattice model

In this communication, we present a microscopic theoretical study of Raman spectra of the heavy fermion systems. The model consists of the exchange between the spins of the itinerant and the localized moments of the f-electrons as well as the nearest neighbour spin interactions among the localized electrons in presence of the phonon coupling to the Kondo singlets and to the conduction electrons in the heavy fermion systems. The double time phonon Green’s function is calculated in closed form by theequations of motion in which the phonon response is contained in the phonon self-energy part of interaction. The Raman scattering intensity is calculated from the imaginary part of the phonon Green’s function by attributing a finite spectral width to the phonon frequency.