Abstract
Specific features of the low-frequency response of a phason and an amplitudon in the region of small wave vectors are considered in incommensurate displacive-type phases at high and low temperatures. The corresponding anomalies of spin-lattice relaxation (SLR) rate and attenuation of the longitudinal sound in the vicinity of the normal phase transformation into an incommensurate phase are analyzed. It is shown that the divergence of the amplitudon response at small wave vectors and low frequencies induced by the interaction with phasons clearly manifests itself only at low temperatures T and that the pronounced amplitudon contribution proportional to T3 to the SLR rate is associated with this divergence. The phason-response divergence at low temperatures leads to the frequency-independent contribution proportional to T to the SLR rate.
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