Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-11-30
Physics
Condensed Matter
Statistical Mechanics
5 pages, 2 figures, discussion expanded and references added to experiments on graded ferroelectrics and ferroelectric superla
Scientific paper
10.1063/1.1499574
We present the first analytical study of stability loss and evolution of domain structure in inhomogeneous ferroelectric samples for exactly solvable model. The model assumes a short-circuited capacitor with two regions with slightly different critical temperatures Tc1 > Tc2, where Tc1-Tc2 << Tc1, Tc2. Even a tiny inhomogeneity like 10-5 K may result in splitting the system into domains below the phase transition temperature. At T < Tc2 the domain width $a$ is proportional to (Tc1 - T)/(Tc1 - Tc2) and quickly increases with lowering temperature. The minute inhomogeneities in Tc may result from structural (growth) inhomogeneities which are always present in real samples and a similar role can be played by inevitable temperature gradients.
Bratkovsky Alexander M.
Levanyuk A. P.
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