An analytic modelling of charge transport in thin layers of disordered organic materials

Khan, M. D.; Nikitenko, V. R.; Burdakov, Ya. V.

doi:10.1088/1742-6596/938/1/012069

Cited by 2 publications

(2 citation statements)

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“…Regarding this, most scientists and engineers agree that the transport of electric charge is mainly based on carrier hopping between localized quantum states, which are disordered in both space and energy [ 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 ]. This has been experimentally tested in [ 18 ], and proven by both analytical models [ 17 , 20 , 22 , 23 , 24 , 25 , 26 , 27 ] and numerical simulations [ 3 , 19 , 21 , 28 , 29 , 30 ].…”

Section: Introductionmentioning

confidence: 99%

“…The latter is the most widely used in electron transfer involving electrochemical processes in molecular chemistry and biology [ 36 , 37 , 38 , 39 , 40 ]. The MA model is the most used in the field of ODSs because it is easier to apply and leads to very accurate results in most cases [ 17 , 20 , 22 , 23 , 24 , 25 , 26 , 27 , 31 ]. In the present work, we use hopping rates inspired by the MA model.…”

Section: Introductionmentioning

confidence: 99%

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Organic Disordered Semiconductors as Networks Embedded in Space and Energy

2022

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Organic disordered semiconductors have a growing importance because of their low cost, mechanical flexibility, and multiple applications in thermoelectric devices, biosensors, and optoelectronic devices. Carrier transport consists of variable-range hopping between localized quantum states, which are disordered in both space and energy within the Gaussian disorder model. In this paper, we model an organic disordered semiconductor system as a network embedded in both space and energy so that a node represents a localized state while a link encodes the probability (or, equivalently, the Miller–Abrahams hopping rate) for carriers to hop between nodes. The associated network Laplacian matrix allows for the study of carrier dynamics using edge-centric random walks, in which links are activated by the corresponding carrier hopping rates. Our simulation work suggests that at room temperature the network exhibits a strong propensity for small-network nature, a beneficial property that in network science is related to the ease of exchanging information, particles, or energy in many different systems. However, this is not the case at low temperature. Our analysis suggests that there could be a parallelism between the well-known dependence of carrier mobility on temperature and the potential emergence of the small-world property with increasing temperature.

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