Abstract

A structural phase transition is studied which is driven by a soft phonon. It is assumed that atT=0°K all harmonic lattice modes are stable and that the quartic interaction between optical phonons has a negative coupling constant for a symmetry point of the Brillouin zone. It is then shown that with increasing temperature the optical mode corresponding to this symmetry point softens. An instability of the lattice arises for a finite soft-mode frequency ν. The problem is studied by calculating ν self-consistently within the chain approximation.

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