Size effect of soft phonon dispersion law in nanosized ferroics

Abstract

Using Landau-Ginsburg-Devonshire theory, we derive and analyze analytical expressions for the frequency dispersion of soft phonon modes in nanosized ferroics and perform numerical calculations for a thin SrTiO3 film. We revealed the pronounced "true" size effect in the dependence of soft phonon spatial dispersion on the film thickness and predict that it can lead to the "apparent" or "false" size effect of dynamic flexoelectric coupling constants

29 pages, 4 figures and appendix; to be submitted to Physical Review B. New section III.F added in this version

References in corpus (5)

• Strain gradient induced polarization in SrTiO3 single crystals
• Understanding the origins of the intrinsic dead-layer effect in nanocapacitors
• Emergence of a Dynamic Super-Structural Order Integrating Antiferroelectric and Antiferrodistortive Competing Instabilities in EuTiO3
• Lattice dynamics and antiferroelectricity in PbZrO${}_3$ tested by X-ray and Brillouin light scattering
• Surface Screening Mechanisms in Ferroelectric Thin Films and its Effect on Polarization Dynamics and Domain Structures

Cited by in corpus (2)

• Theory of nonlinear terahertz susceptibility in ferroelectrics
• Theory of terahertz pulse transmission through ferroelectric nanomembranes