Non-dispersive carrier transport in molecularly doped polymers and the convection–diffusion equation

Tyutnev, A. P.; Parris, Paul Ernest; Saenko, V. S.

doi:10.1016/j.chemphys.2015.06.001

Cited by 7 publications

(2 citation statements)

References 31 publications

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“…( 28) and (29), Ĝ0 (x, x i , s) should be replaced with Ĝr (x, x i , s); Ĝr (x, x i , s) is given by Eq. (109) obtained under the reflecting boundary condition at the back contact (x = 0) under an external field, 14 where ĝr (x, x i , s) is given by Eq. (119).…”

Section: Discussionmentioning

confidence: 99%

“…Recently, the effect of the boundary conditions at both the front and back contacts to the respective electrodes has been rigorously considered. 14 For dispersive diffusion, where the position dispersion (variance) increases sub-linearly with time, the CTRW model has been used. When studying the transient photocurrent using the CTRW model, Scher and Montroll considered an absorbing boundary condition at the front contact with the electrode in their original analysis.…”

Section: Introductionmentioning

confidence: 99%

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Transient photocurrent and optical absorption of disordered thin-film semiconductors: in-depth injection and nonlinear response

Seki¹,

Muramatsu²,

Miura³

et al. 2023

Preprint

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The time-of-flight method is a fundamental approach for characterizing the transport properties of semiconductors. Recently, the transient photocurrent and optical absorption kinetics have been simultaneously measured for thin films; pulsed-light excitation of thin films should give rise to nonnegligible in-depth carrier injection. Yet, the effects of in-depth carrier injection on the transient currents and optical absorption have not yet been elucidated theoretically. Here, by considering the in-depth carrier injection in simulations, we found a 1/t 1−α/2 initial time (t) dependence rather than the conventional 1/t 1−α dependence under a weak external electric field, where α < 1 is the index of dispersive diffusion. The asymptotic transient currents are not influenced by the initial in-depth carrier injection and follow the conventional 1/t 1+α time dependence. We also present the relation between the field-dependent mobility coefficient and the diffusion coefficient when the transport is dispersive. The field dependence of the transport coefficients influences the transit time in the photocurrent kinetics dividing two power-law decay regimes. The classical Scher-Montroll theory predicts a 1 + a 2 = 2 when the initial photocurrent decay is given by 1/t a 1 and the asymptotic photocurrent decay is given by 1/t a 2 . The results shed light on the interpretation of the power-law exponent of 1/t a 1 when a 1 +a 2 = 2.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%