arXiv subjects

Yulian M. Vysochanskii

Publications and source records attributed to Yulian M. Vysochanskii.

22 records · Page 2Linked to original sources

arXiv2018

Labyrinthine domains in ferroelectric nanoparticles: a manifestation of gradient-driven morphological transition

In the framework of the Landau-Ginzburg-Devonshire (LGD) approach we studied finite size effects of the phase diagram and domain structure evolution in spherical nanoparticles of uniaxial ferroelectric. The particle surface is covered by a layer of screening charge characterized by finite screening length. The phase diagram, calculated in coordinates "particle radius vs. screening length" has a wide region of versatile poly-domain structures separating single-domain ferroelectric and nonpolar paraelectric phases. Unexpectedly, we revealed a region of stable irregular labyrinthine domains in the nanoparticles of uniaxial ferroelectric CuInP2S6 with the first order paraelectric-ferroelectric phase transition. We established that the origin of labyrinthine domains is the mutual balance of LGD, polarization gradient and electrostatic energies. The branching of the domain walls appears and increases rapidly when the polarization gradient energy decreases below the critical value. Allowing for the generality of LGD approach, we expect that the gradient-induced morphological transition can be the source of labyrinthine domains appearance in many spatially-confined ferroics with long-range order parameter, including relaxors, ferromagnetics, antiferrodistortive materials and materials with incommensurate ferroic phases.

cond-mat.mtrl-sci↗

arXiv2017

Flexocoupling induced soft acoustic mode and the spatially modulated phases in ferroelectrics

Using the Landau Ginzburg Devonshire theory and scalar approximation, we derived analytical expressions for the singular points (zeros, complex ranges) of the acoustic phonon mode (A mode) frequency in dependence on the wave vector k and examined the conditions of the soft A modes appearance in a ferroelectric depending on the magnitude of the flexoelectric coefficient f and temperature T. We predict that if the magnitude of the flexocoefficient f is equal to the temperature-dependent critical value fcr(T) at the temperature T=T_IC, the A mode frequency tends to zero at k=kr_0 and the spontaneous polarization becomes spatially modulated in a temperature range T<T_IC.The comparison of calculated physical properties with measured ones are performed for some ferroelectrics with SMP phases.In particular, temperature dependence of the calculated direct and inverse static dielectric susceptibility is in an agreement with experimental data in Sn2P2(SexS1-x)6 that gives us additional background to predict flexo-coupling induced soft acoustic amplitudon-type mode in the SMP phase.The available experimental data on neutron scattering in organic incommensurate ferroelectric (CH3)3NCH2COO*CaCl2*2H2O are in a semi-quantitative agreement with our theoretical results. To quantify the theory, it is necessary to measure the frequency dependence of the A mode in a uniaxial ferroelectric with a spatially modulated phase in the temperature interval near its occurrence.

cond-mat.mtrl-sci↗

arXiv2016

The influence of elastic strain gradient on the upper limit of flexocoupling strength, spatially-modulated phases and soft phonon dispersion in ferroics

Within the framework of Landau-Ginzburg-Devonshire (LGD) theory we studied the role of the flexocoupling between the order parameter and elastic strain gradients in the stability of a spatially-modulated phase (SMP) in ferroics with commensurate and incommensurate long-range ordered phases under the presence of squired elastic strain gradient. The squired elastic strain gradient is required for the free energy stability to arbitrary strain gradients. Obtained analytical expressions showed that the fundamental upper limit for the magnitude of the static bulk flexoelectric effect strength, established by Yudin and Tagantsev under the absence of squired elastic strain gradient and higher order gradients terms, should be substituted by the temperature-dependent condition on the flexoelectric coupling strength under the presence of the gradient terms. Moreover, we established that the SMP appears and becomes stable in commensurate ferroics if the flexocoupling constant exceeds the critical value, defined by the reduced temperature, strain and order parameter gradients constants, striction and expansion coefficients in the LGD functional. We calculated the soft phonon dispersion in ferroics with commensurate and incommensurate long-range ordered phases allowing for the squired elastic strain gradient, as well as static and dynamic flexocoupling. Appeared that the dispersion for the optic mode is slightly sensitive to the flexocoupling, while the dispersion of acoustic mode strongly depends on the coupling strength. Obtained results demonstrate that the non-trivial differences in the dispersion of optic and acoustic modes appear under the change of flexocoupling constant.

cond-mat.mtrl-sci↗

arXiv2015

Flexocoupling impact on the generalized susceptibility and soft phonon modes in the ordered phase of ferroics

Flexoelectric effect impact on the generalized susceptibility and soft phonons dispersion was not studied in the long-range ordered phases of ferroics. The gap in the knowledge motivated us to establish the impact of the flexocoupling on the correlation function of the long-range order parameter fluctuations in ferroelectric phase of ferroics with local disordering sources. Within Landau-Ginzburg-Devonshire approach we obtained analytical expressions for the generalized susceptibility and phonon dispersion relations in the ferroelectric phase. Unexpectedly, the joint action of static and dynamic flexoelectric effect induces non-diagonal components of generalized susceptibility, which amplitude is proportional to the convolution of the spontaneous polarization with flexocoupling constants. The flexocoupling essentially broaden the k-spectrum of generalized susceptibility and so decreases the correlation radii, as well as leads to the additional "pushing away" of the optical and acoustic soft mode phonon branches. The contribution of spontaneous polarization via ferroelectric nonlinearity and electrostriction mechanisms can lead to both broadening and narrowing on the susceptibility k-spectrum. Due to the joint action of flexoelectric coupling and spontaneous polarization the degeneration of the transverse optic and acoustic modes disappears in the soft phonon spectrum in a ferroelectric phase in comparison with the spectra in a paraelectric phase. These effects have been studied quantitatively for ferroelectric lead zirconate titanate using realistic values of static and dynamic flexocouplings and cubic symmetry approximation for the elastic properties. Also we derived general expressions for correlation function for arbitrary symmetry, elastic and electrostrictive anisotropy.

cond-mat.mtrl-sci↗