Electron diffusion in bond-disordered media

Chekunaev, N.I.; Berlin, Yu. A.; Fleurov, V.

doi:10.1088/0022-3719/15/6/017

Cited by 19 publications

(4 citation statements)

References 20 publications

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“…cides in form with the equation obtained in [34] within the percolation model. The integration of Eq.…”

Section: Multiple Trapping On a Comb Structurementioning

confidence: 99%

“…For the continuous time random walk model on the comb structure, solving the equation (32) and substituting the solution (33) into the Laplace transform of the formula for the tran sient current expressed in terms of the total concentra tion, (34) we obtain the transform (35) In the case of the combination of waiting time distri butions in the long time asymptotic expression, we have Figure 2 shows transient current curves I(t) for the case of the transport over the comb structure through multiple trapping in localized states with the exponen tial and Gaussian densities (E = 10 6 V/cm, L = 1 μm). These dependences were calculated by inverting func tion (30).…”

Section: Kinetics Of the Current In A Time Of Flight Experimentsmentioning

confidence: 99%

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Multiple trapping on a comb structure as a model of electron transport in disordered nanostructured semiconductors

Sibatov

Morozova²

2015

J. Exp. Theor. Phys.

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A model of dispersive transport in disordered nanostructured semiconductors has been proposed taking into account the percolation structure of a sample and joint action of several mechanisms. Topological and energy disorders have been simultaneously taken into account within the multiple trapping model on a comb structure modeling the percolation character of trajectories. The joint action of several mechanisms has been described within random walks with a mixture of waiting time distributions. Integral transport equations with fractional derivatives have been obtained for an arbitrary density of localized states. The kinetics of the transient current has been calculated within the proposed new model in order to analyze time of flight exper iments for nanostructured semiconductors.

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“…cides in form with the equation obtained in [34] within the percolation model. The integration of Eq.…”

Section: Multiple Trapping On a Comb Structurementioning

confidence: 99%

Section: Kinetics Of the Current In A Time Of Flight Experimentsmentioning

confidence: 99%

Multiple trapping on a comb structure as a model of electron transport in disordered nanostructured semiconductors

Sibatov

Morozova²

2015

J. Exp. Theor. Phys.

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“…The study of motion in rugged energy landscapes is relevant in a number of contexts [ 1,2]. Examples include models for dc [3][4][5] and ac conduction in disordered solids [6][7][8][9], protein dynamics [10][11][12], viscous flow of liquids close to the glass transition [ 13,14], diffusion in random flows [ 15], or rate processes controlled by the anomalous diffusion of reactants [16][17][18][19][20]. Usually, the complexity of a system is represented by some sort of randomness of the energy landscape.…”

Section: Introductionmentioning

confidence: 99%

Universality of anomalous diffusion in extremely disordered systems

Dyre¹,

Jacobsen²

1996

Chemical Physics

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The universal time-dependence of the mean-square displacement for motion in a random energy landscape with equal minima is evaluated analytically and numerically in the percolation path approximation (PPA), which was recently shown by extensive computer simulations in two and three dimensions [Dyre and Schr~ler, cond-mat/9601052] to be more accurate than the standard effective medium approximation (EMA). According to the PPA the universal mean-square displacement in dimensionless units as function of time varies as 1 / In 2 ( t-~ ) for t ~ 0. This implies a quite different short-time behavior than predicted by the EMA, where the universal mean-square displacement varies as 1/ln(t -t) at short times [Dyre and Jacobsen, Phys. Rev. E 52 (1995) 2429].

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“…Examples include models for dc [3][4][5] and ac conduction in disordered solids [6][7][8][9], protein dynamics [10][11][12], viscous flow of liquids close to the glass transition [ 13,14], diffusion in random flows [ 15], or rate processes controlled by the anomalous diffusion of reactants [16][17][18][19][20]. Usually, the complexity of a system is represented by some sort of randomness of the energy landscape.…”

Section: Introductionmentioning

confidence: 99%