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Volumn 91, Issue 11, 2015, Pages

Accumulation, inversion, and depletion layers in SrTiO3

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EID: 84924358522     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.91.115303     Document Type: Article
Times cited : (50)

References (69)
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    • So far we considered only two limiting cases: the linear and nonlinear dielectric responses, which are correct for (Equation presented) and (Equation presented), respectively. In fact one can analytically solve Eqs. (1) with Eq. (3) assuming that (Equation presented). For example, in Ref. [67] the polarization profile of a charged "head-to-head" domain wall in a ferroelectric was calculated. In the ferroelectric phase, the spontaneous polarization in the domain is approximately equal to our (Equation presented). Therefore, a charged domain wall, considered in Ref. [67], should be compared with our accumulation layer at the crossover value of the electric field (Equation presented). Indeed, our results Eqs. (11) and (15) taken at (Equation presented) agree with those for the charged domain wall
    • So far we considered only two limiting cases: the linear and nonlinear dielectric responses, which are correct for (Equation presented) and (Equation presented), respectively. In fact one can analytically solve Eqs. (1) with Eq. (3) assuming that (Equation presented). For example, in Ref. [67] the polarization profile of a charged "head-to-head" domain wall in a ferroelectric was calculated. In the ferroelectric phase, the spontaneous polarization in the domain is approximately equal to our (Equation presented). Therefore, a charged domain wall, considered in Ref. [67], should be compared with our accumulation layer at the crossover value of the electric field (Equation presented). Indeed, our results Eqs. (11) and (15) taken at (Equation presented) agree with those for the charged domain wall.
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    • One can verify whether Eqs. (36) and (37) are applicable for describing the capacitance-voltage characteristics. To do this we consider the critical voltage (38). For small concentration (Equation presented) is smaller than the experimental voltage (Equation presented) (see Fig. 7). It means that using Eq. (36) is justified. For high concentrations (Equation presented) or (Equation presented) is larger than the experimental voltage (Equation presented). For such voltages one can use Eq. (37)
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