Low-lying vibrational modes and the theory of local and transport properties at ferroelectric and other structural phase transitions

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Abstract
The temperature dependence of the critical contributions to the exponent of the Debye—Waller factor (DWF), which corresponds to that of the linewidth of the electron paramagnetic resonance (EPR) in the “slow-motion regime”, is calculated as well as the temperature dependence of the critical contributions to the electrical resistivity of ferroelectrics and other structural phase transitions (e.g., anti-ferroelectrics, A-15 structure compounds, etc.). Special attention is paid to the derivation of additional predictions for the critical behaviour of uniaxial ferroelectrics employing the Larkin-Khmelnitskii theory and to the experimental observability of the predicted logarithmic correction terms. The interrelationship between low-lying vibrational modes and the critical behaviour of the investigated quantities is exhibited.