Nonlinear lattice dynamical theory for valence transition in rare earth compounds

Abstract

A nonlinear lattice dynamical theory is proposed to explain the mode softening in intermediate valence compound Sm0.75 Y0.25 S. In this theory we consider the breathing motion of the electron shells of Sm-ion to be nonlinear, and depend on temperature, resulting in strong electron-ion coupling. We calculate the salient features of the nonlinear breathing potential, which resembles theφ4 potential for second order ferro-electric transitions. We also calculate the temperature dependence of LO(L) frequency for this compound, showing that at transition temperature (about 200 K) this mode freezes.