Inhomogeneous States of Thin-layer Crystals with Incommensurate Superstructure

Authors I.M. Kuno, S.A. Sveleba, I.V. Karpa, I.M. Katerynchuk

Ivan Franko National University of Lviv, 107, hen. Tarnavskoho Str., 79017 Lviv, Ukraine

Issue Volume 10, Year 2018, Number 2
Dates Received 01 December 2017, published online 29 April 2018
Citation I.M. Kuno, S.A. Sveleba, I.V. Karpa, I.M. Katerynchuk, J. Nano- Electron. Phys. 10 No 2, 02026 (2018)
PACS Number(s) 61.44.Fw, 64.70.Rh
Keywords Ferroelectric (7) , Ferroelastic, Incommensurate phase, Order parameter (3) , Modulation, Anisotropic interaction, Phase portrait.

The nonhomogeneous configurations of the order parameter is studied for incommensurate ferroelectric microcrystals considering Lifshitz invariants in the expansion of the free energy. Increasing the value of the anisotropic interaction leads to a transition of the system from sinusoidal to soliton and then the stochastic regime incommensurate superstructure, with the advent of the chaotic direction the jumps of amplitude modulation. The electric field applied to the crystal along the direction of spontaneous polarization leads to a bifurcation, and the appearance of wave superposition of both existing modulation waves and chaotic structure.

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