6533b852fe1ef96bd12aaba4
RESEARCH PRODUCT
Thickness Dependence of Random Field Distribution in Thin Films Made of Disordered Ferroelectrics
Vladimir A. StephanovichE. V. KirichenkoH. DróżdżJ. Dróżdżsubject
Random fieldMaterials scienceCondensed matter physicsDistribution (number theory)Differential equationbusiness.industryFunction (mathematics)Condensed Matter PhysicsFerroelectricityElectronic Optical and Magnetic MaterialsCondensed Matter::Materials ScienceOpticsDistribution functionBoundary value problemThin filmbusinessdescription
Abstract We present the calculation of first moment E 0 and variance ΔE of distribution function of random fields in a ferroelectric of finite size. Specific calculations have been performed for the case of slab-shaped ferroelectric thin film. We have shown that E 0 and ΔE can be expressed through the integrals from first and second degree of Green's function of ferroelectric in k-space. To obtain the Green's function, we solve the differential equation minimizing Landau free energy of a ferroelectric with respect to the boundary conditions on its surfaces. We show that both E 0 and ΔE depend on film thickness L.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-07-01 | Ferroelectrics |