Single-particle properties of systems undergoing structural phase transitions

Abstract

We study the properties of the single-particle probability density function for a $d$-dimensional model system exhibiting a structural phase transition. Using renormalization-group methods (in $d=1\mathrm{}$) and exact inequalities (in $d=3\mathrm{}$), we examine, in particular, the extent to which the behavior of this function can reveal the distinctive changeover in dynamical behavior expected for a system exhibiting a displacive phase transition.