Influence of Thermocycling on the Polarization Distribution of Doped SBN Crystals

Movchikova, A. A.; Malyshkina, O. V.; Педько, Б. Б.; Lisitsin, V. S.; Burtsev, A. V.

doi:10.1080/00150193.2010.489848

Cited by 2 publications

(4 citation statements)

References 7 publications

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“…[2,9]. The methods of the quantum theory of proton conductivity have a direct application to theoretical and applied studies of quantum transitions of protons in the hydrogen sublattice during the formation of spontaneous polarization in ferroelectric crystals with hydrogen bonds (KDP) near the second-order phase transition point [3][4][5][6][7][8]. The results of the research, in the future, will find application in the field of laser technology and nonlinear optics, in particular, in studying the effects of quantum proton tunneling on second-order nonlinear optical processes (second harmonic generation, parametric generation and amplification of light, frequency mixing, electro-optical effect)and nonlinearity of a higher order in the frequency of the electromagnetic field (the effect of self-action of laser radiation), which is important for the technique of femtosecond lasers [24][25][26][27][28].…”

Section: Scientific and Practical Significance Of The Research Resultsmentioning

confidence: 99%

“…ξψ n (ξ)cos πma d ξ dξ, where the wave functions ψ n (ξ) are taken for a model of particle motion in a one-dimensional field a potential pit with spatial-periodic potential relief within the pit and infinitely high edge walls U max → ∞ . Internal potential barriers and potential pits are taken by parabolic shape, a calculation quasi-discreet the energy spectrum of particles (protons) is performed for the blocking electrode model U max → ∞ , when ψ n (0) = 0, ψ n (0) = 0, according to the scheme outlined in [8].…”

Section: Quantum Kinetic Equation For Proton Relaxationmentioning

confidence: 99%

“…Going back to the original u n,1 (ξ; τ) = ∑ ∞ m=1 U n,1 (m; τ) × cos πma d ξ , assumptions in (5) taking into account and notation, we construct the desired scalar function u n (ξ; τ) = ς 0 u n,1 (ξ; τ) describing relaxation motion of protons with energies of the unperturbed spectrum E (0) n [8] in crystal, perturbed by the electric field E(x; t) = E 0 exp(iωt) with blocking electrodes…”

Section: Quantum Kinetic Equation For Proton Relaxationmentioning

confidence: 99%

“…A separate category of ion-molecular dielectrics is represented by hydrogen-bonded crystals (HBC) used in radio electronics (elements of electronically controlled systems of microwave, ultra-high frequency [6]); optoelectronics and nonlinear optics (nonlinear optical signal converters; high-precision long-mode fiber optic strain gauges in solid-state elements of structures and structures in mining and construction technologies); laser technology (regulators of radiation parameters and electric shutters (KDP (potassium dihydrogenphosphate)) [7][8][9]; microelectronics (field effect transistors, resonant tunnel diodes, MIS, MSM structures); electrochemical technologies (solid-state fuel cells based on dielectrics with high ionic conductivity) [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

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Physical and Mathematical Models of Quantum Dielectric Relaxation in Electrical and Optoelectric Elements Based on Hydrogen-Bonded Crystals

Kalytka,

Mekhtiyev,

Neshina

et al. 2023

Crystals

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The quantum statistical properties of the proton subsystem in hydrogen-bonded crystals (HBC) are investigated. Based on the non-stationary Liouville operator equation (taking into account a number of assumptions established in the experiment), a quantum kinetic equation is constructed for the ensemble of non-interacting protons (an ideal proton gas) moving in the crystal potential image perturbed by the external electric field. The balanced density matrix for the unperturbed proton subsystem is constructed using the quantum canonical Gibbs distribution, and the non-balanced density matrix is calculated from the solutions of the nonlinear quantum kinetic equation by methods in linear approximation of perturbation theory for the blocking electrode model. Full quantum mechanical averaging of the polarization operator makes it possible to study the theoretical frequency-temperature spectra of the complex dielectric permittivity (CDP) calculated using quantum relaxation parameters that differ significantly from their semiclassical counterparts. A scheme is presented for an analytical study of the dielectric loss tangent in the region of quantum nonlinear relaxation in HBC. The results obtained in the given paper are of scientific interest in developing the theoretical foundations of proton conduction processes in energy-independent memory elements (with anomalously high residual polarization) based on thin films of ferroelectric materials in the ultralow temperature range (1–10 K). The theoretical results obtained have a direct application to the study of the tunneling mechanisms of spontaneous polarization in ferroelectric HBC with a rectangular hysteresis loop, in particular in crystals of potassium dideutrophosphate (KDP), widely used in nonlinear optics and laser technology. The quantum properties of proton relaxation in HBC can be applied in the future to the study of solid-state electrolytes with high proton conductivity for hydrogen energy, capacitor technology (superionics, varicodes), and elements of MIS and MSM structures in the development of resonant tunnel diodes for microelectronics and computer technology.

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Section: Scientific and Practical Significance Of The Research Resultsmentioning

confidence: 99%

Section: Quantum Kinetic Equation For Proton Relaxationmentioning

confidence: 99%

Section: Quantum Kinetic Equation For Proton Relaxationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Physical and Mathematical Models of Quantum Dielectric Relaxation in Electrical and Optoelectric Elements Based on Hydrogen-Bonded Crystals

Kalytka,

Mekhtiyev,

Neshina

et al. 2023

Crystals

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Quasi-Classical Models of Nonlinear Relaxation Polarization and Conductivity in Electric, Optoelectric, and Fiber Optic Elements Based on Materials with Ionic–Molecular Chemical Bonds

Kalytka,

Mekhtiyev,

Neshina

et al. 2024

Applied Sciences

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A generalized scientific review with elements of additions and clarifications has been carried out on the methods of theoretical research on the electrophysical properties of crystals with ionic–molecular chemical bonds (CIMBs). The main theoretical tools adopted are the methods of quasi-classical kinetic theory as applied to ionic subsystems relaxing in layered dielectrics (natural silicates, crystal hydrates, various types of ceramics, and perovskites) in an electric field. A universal (applicable for any CIMBs class crystals) nonlinear quasi-classical kinetic equation of theoretical and practical importance has been constructed. This equation describes, in complex with the Poisson equation, the mechanism of ion-relaxation polarization and conductivity in a wide range of polarizing field parameters (0.1–1000 MV/m) and temperatures (1–1550 K). The physical model is based on a system of non-interacting ions (due to the low concentration in the crystal) moving in a one-dimensional, spatially periodic crystalline potential field, perturbed by an external electric field. The energy spectrum of ions is assumed to be continuous. Elements of quantum mechanical theory in a quasi-classical model are used to mathematically describe the influence of tunnel transitions of hydrogen ions (protons) during the interaction of proton and anion subsystems in hydrogen-bonded crystals (HBC) on the polarization of the dielectric in the region of nitrogen (50–100 K) and helium (1–10 K) temperatures. The mathematical model is based on the solution of a system of nonlinear Fokker-Planck and Poisson equations, solved by perturbation theory methods (via expanding solutions into infinite power series in a small dimensionless parameter). Theoretical frequency and temperature spectra of the dielectric loss tangent were constructed and analyzed, the molecular parameters of relaxers were calculated, and the physical nature of the maxima of the experimental temperature spectra of dielectric losses for a number of HBC crystals was discovered. The low-temperature maximum, which is caused by the quantum tunneling of protons and is absent in the experimental spectra, was theoretically calculated and investigated. The most effective areas of scientific and technical application of the theoretical results obtained were identified. The application of the equations and recurrent formulas of the constructed model to the study of nonlinear optical effects in elements of laser technologies and nonlinear radio wave effects in elements of microwave signal control systems is of the greatest interest.

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Influence of Thermocycling on the Polarization Distribution of Doped SBN Crystals

Cited by 2 publications

References 7 publications

Physical and Mathematical Models of Quantum Dielectric Relaxation in Electrical and Optoelectric Elements Based on Hydrogen-Bonded Crystals

Physical and Mathematical Models of Quantum Dielectric Relaxation in Electrical and Optoelectric Elements Based on Hydrogen-Bonded Crystals

Quasi-Classical Models of Nonlinear Relaxation Polarization and Conductivity in Electric, Optoelectric, and Fiber Optic Elements Based on Materials with Ionic–Molecular Chemical Bonds

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