2015
DOI: 10.1134/s106377611504024x
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Multiple trapping on a comb structure as a model of electron transport in disordered nanostructured semiconductors

Abstract: 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 transp… Show more

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Cited by 21 publications
(13 citation statements)
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“…Here, we continue to develop the model of multiple trapping on a comb structure (MT-comb model) proposed in [33] for dispersive transport in disordered nanostructured samples. The classic comb model consists of 'backbone' coinciding with the x axis and regularly distributed perpendicular 'teeth' directed along the y axis [27,28].…”
Section: Multiple Trapping On a Comb-like Structurementioning
confidence: 99%
See 2 more Smart Citations
“…Here, we continue to develop the model of multiple trapping on a comb structure (MT-comb model) proposed in [33] for dispersive transport in disordered nanostructured samples. The classic comb model consists of 'backbone' coinciding with the x axis and regularly distributed perpendicular 'teeth' directed along the y axis [27,28].…”
Section: Multiple Trapping On a Comb-like Structurementioning
confidence: 99%
“…The popular model to study anomalous diffusive transport in low dimensional percolation clusters is the so-called comb model introduced in [27,28]. The dynamic equation to describe transport on the continuous comb has been proposed by Arkhincheev and Baskin [29] and studied in [30][31][32][33][34][35]. The advection-diffusion in the comb can be described in the framework of the continuous time random walk (CTRW) concept [36,37].…”
Section: Introductionmentioning
confidence: 99%
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“…It has been shown that these models are useful for description of anomalous transport through porous solid pellets with various porous geometries [17]. Comb models are also applicable for describing diffusion in percolation clusters [2,18,19], anomalous transport of inert compounds in spiny dendrites [20][21][22], modeling electron transport in disordered nanostructured semiconductors [23,24], dispersive transport of charge carriers in two-layer polymers [25], percolative phonon-assisted hopping in twodimensional disordered systems [26,27], and anomalous diffusion of fluorescence recovery after photobleaching in a random-comb model [13]. Another interesting realization is that turbulent diffusion in a comb appears to be due to multiplicative noise [28,29].…”
Section: Introductionmentioning
confidence: 99%
“…The diffusion equation for the case of a continuous comb structure was obtained by Arkhincheev and Baskin [42]. Its solutions, interpretation, and generalizations were considered in a number of works [43][44][45][46][47][48]. Advection-diffusion on a comb structure can be interpreted in terms of a continuous-time random walk (CTRW) model [49,50].…”
Section: Hopping In Quasi-fractal Nanoribbons With Energetic Disordermentioning
confidence: 99%