The impact of the nonlinear effects on thermally stimulated depolarization currents in ion dielectrics

Kalytka, Valeriy A.; Bashirov, A. V.; Tatkeyeva, Galina G.; Sidorina, Yelena A.; Ospanov, B. S.; Ten, Tatyana L.

doi:10.21533/pen.v9i3.2111

Cited by 4 publications

(24 citation statements)

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“…Currently, quite a large amount of experimental data have been accumulated on the use of proton semiconductors and dielectrics (PSCD), mainly in the field of electrochemical technologies and physical chemistry (when developing solid-state electrolytes (perovskites, orthoperiodates and alkali metal biperiodates of alkali metals) [18][19][20][21][22][23][24][25]. At the same time, there are not many practical applications of PSCD properties [17,[26][27][28][29][30][31][32] in the field of theoretical electrical engineering [33][34][35][36][37][38][39][40][41], physical electronics and microelectronics [42].…”

Section: Scientific and Practical Significance Of The Study Resultsmentioning

confidence: 99%

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Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

et al. 2022

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This paper is devoted to the development of generalized (for a wide range of fields (100 kV/m–1000 MV/m) and temperatures (0–1500 K) in the radio frequency range (1 kHz–500 MHz)) methods for the theoretical investigation of the physical mechanism of nonlinear kinetic phenomena during the establishment of the relaxation polarization, due to the diffusion motion of the main charge carriers in dielectrics with ionic–molecular chemical bonds (hydrogen-bonded crystals (HBC), including layered silicates, crystalline hydrates and corundum–zirconium ceramics (CZC), etc.) in an electric field. The influence of the nonlinearities equations of the initial phenomenological model of dielectric relaxation (in HBC-proton relaxation) on the mechanism for the formation of volume–charge polarization in solid dielectrics is analyzed. The solutions for the nonlinear kinetic Fokker–Planck equation, together with the Poisson equation, for the model of blocked electrodes are built in an infinite approximation (including all orders k of smallness without dimensional parameters) of perturbation theory for an arbitrary order r of the frequency harmonic of an alternating external polarizing field. It has been established that the polarization nonlinearities in ion-molecular dielectrics, already detected at the fundamental frequency, are interpreted in the mathematical model (for the first time in this work) as interactions of the relaxation modes of the volume charge density calculated on different orders of spatial Fourier harmonics. At the fundamental frequency of the field, an analytical generalized expression is written for complex dielectric permittivity (CDP), which is expressed analytically in terms of special relaxation parameters, which are quite complex real functions in the fields of frequency and temperature. The theoretical CDP and the dielectric loss tangent spectra studied depend on the nature of the relaxation processes in the selected temperature range (Maxwell and diffusion relaxation; thermally activated and tunneling relaxation), which is relevant from the point of view of choosing exact calculation formulas when analyzing the optimal operating modes of functional elements (based on dielectrics and their composites) for circuits of instrumentation, radio engineering and power equipment in real industrial production.

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Section: Scientific and Practical Significance Of The Study Resultsmentioning

confidence: 99%

“…Theoretical developments aimed at applying quantum kinetic theory of proton conductivity and polarization [7,[12][13][14][15][16]29,30] to questions and quantum theory of hightemperature superconductivity [43] are relevant.…”

Section: Scientific and Practical Significance Of The Study Resultsmentioning

confidence: 99%

Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

et al. 2022

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“…Studies of the electrophysical properties of HBC-class crystals are based on precision measurements of the temperature spectra of thermally stimulated depolarization currents (TSDC) and the frequency-temperature spectra of the dielectric loss angle tangent tgδ exp (ω, T) [75,78,[81][82][83][84][85][86][87][88][89]. In [90], the methodologies of experimental studies and semi-empirical estimates of the characteristic parameters of crystals under various external conditions of the experiment (polarization temperature; polarizing field strength; external mechanical stresses) and methods of processing samples (doping, calcination, etc.)…”

Section: Dielectric Relaxation Mechanism In Hbc Comparative Analysis ...mentioning

confidence: 99%

“…under the ion-molecular subsystem is meant. The geometric model of the problem is taken to be three-dimensional, where the potential field of the proton-anion interaction is taken to be one-dimensional and oriented along the line of hydrogen bonds (along the crystal axis), and the potential field of the proton-ion interaction is taken to be two-dimensional and oriented along the lines of bonds of the proton with ionic groups and molecules [83,84].…”

Section: Statement Of the Quantum Mechanical Problemmentioning

confidence: 99%

“…Theoretical studies of nonlinear kinetic phenomena during polarization of layered dielectrics of the HBC-class (crystal hydrates; layered silicates) were carried out in a wide range of field parameters and temperatures and indicate the manifestation of an anomalously high dielectric constant ((1.5-2.5) million) in the region of ultralow temperatures (1-10 K) in weak fields (100-1000 kV/m) and in the region of ultra-high temperatures (550-1500 K) in strong fields (10-100 MV/m) [72][73][74][75][76][77][78].…”

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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Influence of Quantum Effects on Dielectric Relaxation in Functional Electrical and Electric Energy Elements Based on Proton Semiconductors and Dielectrics

Kalytka,

Baimukhanov,

Neshina

et al. 2023

Applied Sciences

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Using the quasi-classical kinetic theory of dielectric relaxation, in addition to existing methods, fundamental mathematical expressions are built, which make it possible to more strictly consider the effects of the main charge carriers’ (protons’) tunneling on the numerical values of the molecular parameters (activation energy, equilibrium concentration) of protons in HBC. The formulas for calculating the statistically averaged non-stationary quantum transparency of a parabolic potential barrier for protons have been modernized by more stringent consideration of the effects of corrections caused by an external electric field. For the model of a double-symmetric potential well, a generalized nonlinear solution of the quasi-classical kinetic equation of dielectric relaxation in HBC was built. The phenomenological Bucci-Rive formula for thermally stimulated depolarization current density (TSDC) was first investigated, taking into account quantum transparency, for the case of a parabolic potential barrier. The choice of the parabolic shape of the potential barrier allowed, at a theoretical level, for the mathematical model of relaxation polarization to be brought closer to the conditions of the real spatial structure of the crystal potential field, in comparison with the rectangular potential barrier model. It has been found that quantum effects due to proton tunnel transitions significantly affect the mechanism of thermally stimulated depolarization currents in HBC, over a wide temperature range (50–550 K) and external field parameters (0.1–1 MV/m). Generalized solutions of the nonlinear kinetic equation, recorded considering the effects of field parameters on proton tunnel transitions, made it possible to significantly approximate the theoretical values of activation energies, equilibrium concentrations of protons and amplitudes of the theoretical maxima of the current density of thermally stimulated depolarization, according to their experimental values in the field of low-temperature (50–100 K) and high-temperature (350–550 K) maxima of TSDC density in HBC. For the first time, precision measurements of TSDC temperature spectra were carried out for chalcanthite crystals. The effects of alloying impurities concentrations and crystal calcination temperatures on the parameters of experimental maxima in the TSDC spectrum of chalcanthite were established. A physical mechanism of the quantum tunnel motion of protons in HBC with a complex crystal structure (crystalline hydrates, layered silicates, ferroelectric HBC (KDP, DKDP)) is described. The patterns found in this article indicate a fairly high degree of applied scientific significance for the obtained theoretical results, allowing for the further development of electrophysics and optoelectronics of heterogeneous structures (MIS, MSM) based on proton semiconductors and dielectrics (PSD) and their composites.

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The impact of the nonlinear effects on thermally stimulated depolarization currents in ion dielectrics

Cited by 4 publications

References 0 publications

Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

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

Influence of Quantum Effects on Dielectric Relaxation in Functional Electrical and Electric Energy Elements Based on Proton Semiconductors and Dielectrics

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