The dynamic behavior of a system undergoing a cooperative Jahn-Teller structural transition is investigated. Coupling to both acoustic and optic modes are considered. Particular emphasis is placed on the low-frequency response. In addition to the peaks in the dynamic structure factor corresponding to the soft acoustic mode, a central component is obtained, the width of which goes to zero as the transition temperature is approached. Unlike other transitions for which a central component has been observed, the width of the central peak for Jahn-Teller transitions such as that in TmV${\mathrm{O}}_4$ may be sufficiently wide to allow a direct observation of the narrowing by neutron scattering or other techniques.

• Received 30 March 1973

DOI:https://doi.org/10.1103/PhysRevB.8.3954