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Tonkonogov, M. P.; Ismailov, Zh. T.; Timokhin, V. M.; Fazylov, K. K.; Kalitka, V. A.; Baimukhanov, Zein

doi:10.1023/a:1022819118171

Cited by 4 publications

(8 citation statements)

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“…(39) obtained in the quadratic approximation with allowance for the boundary and initial conditions (40) and (41) is the initial condition for calculating the decay of the heterocharge under linear heating of the crystal and coincides formally with the results obtained in [5]. The homocharge decay up to the moment where thermodepolarization begins, can also be formally taken from [5], and we have…”

Section: Thermostimulated Depolarization Currents In Nanosized Layerssupporting

confidence: 56%

“…Equation (39) was solved in two steps [5]. First, we considered the polarization process characterized by the following boundary (in the case of gating electrodes) ( ) …”

Section: Thermostimulated Depolarization Currents In Nanosized Layersmentioning

confidence: 99%

“…In nanosized layers, the shift of the first maximum of thermostimulated depolarization current significantly depends on the layer thickness. Different values of temperatures of maxima calculated by the density-matrix method and by the nonlinear theory at low temperatures [5] suggest a significant contribution from proton tunneling to the diffusion relaxation mechanism. Yet, there are practically no differences in the Maxwell-relaxation region.…”

mentioning

confidence: 92%

“…The presence of dimensional effects under polarization of nanosized hydrogen-bonded crystals follows from a linear theory of proton relaxation developed in [3,4] and a nonlinear theory of the space-charge thermodepolarization and relaxation put forward in [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

“…Table 3 shows the calculated temperatures of the thermostimulated depolarization-current maxima for chalcanthite crystals. The temperatures of maxima obtained using the nonlinear kinetic theory [5] are given in brackets. It is seen that the thermostimulated depolarization-current maxima shift but slightly at high temperatures.…”

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confidence: 99%

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Dimensional effects in nanosized layers under establishing polarization in hydrogen-bonded crystals

et al. 2005

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Section: Thermostimulated Depolarization Currents In Nanosized Layerssupporting

confidence: 56%

“…Equation (39) was solved in two steps [5]. First, we considered the polarization process characterized by the following boundary (in the case of gating electrodes) ( ) …”

Section: Thermostimulated Depolarization Currents In Nanosized Layersmentioning

confidence: 99%

mentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Dimensional effects in nanosized layers under establishing polarization in hydrogen-bonded crystals

et al. 2005

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Mechanism of formation of space-charge polarization in dielectrics

2006

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A general mechanism of space-charge relaxation in dielectrics, whose separate manifestations were studied in [5][6][7], is investigated. A strict solution of a system of the nonlinear Fokker-Planck and Poisson equations has been derived in the form of a Fourier series; a recurrent relation is suggested for the oscillation modes which allows the mechanism of space-charge relaxation to be considered as an interaction of modes generated in crystals in an external electric field. Very cumbersome calculations do not allow us to estimate the opportunity of technical applications of the solution obtained within the framework of one paper. RELAXATION MODES OF THE SPACE-CHARGE POLARIZATIONThe space-charge polarization is a governing factor of the dielectric properties. It is a common mechanism of charge relaxation in thin films of microcircuit elements; the space-charge formation results in an unstable operation of MIS structures and their breakdown.The space-charge relaxation in crystals has been investigated on the microlevel only in uniform weak electric fields [1, 2]. We were forced to use a phenomenological model which describes charge transfer by a system of the Fokker-Planck and Poisson equations [3,4]. Its analytical solution was obtained in [4] in the first and in [5] in the second approximations of mathematical perturbation theory. We now write down these equations in dimensionless variables x a ξ = and 2 Dt a τ = [4]: ( ) ( ) 2 2 0 0, 0, 0 0 ( ) , , , ( ) ,0 0, .

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