Charge-carrier transport in disordered organic solids

Baranovskiǐ, S. D.; Cordes, H.; Hensel, F.; Leising, G.

doi:10.1103/physrevb.62.7934

Cited by 158 publications

(212 citation statements)

References 27 publications

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“…137,138 VRH has been observed in a wide variety of systems such as Si-and Ge-based inorganic semiconductors, 209 conducting polymers and assemblies of quantum dots. 210 The hopping conductivity has been amply studied for bulk amorphous semiconductors 137,138 and organic semiconductors with a Gaussian DOS, 206,207,[211][212][213][214][215][216][217] but these developments have not been generally applied in electrochemistry experiments. Arkhipov, Ba¨ssler and coworkers have reported some models of the electronic conductivity of electrochemically doped polymers.…”

Section: Transport In a Continuous Density Of Statesmentioning

confidence: 99%

Physical electrochemistry of nanostructured devices

Bisquert

2008

Phys. Chem. Chem. Phys.

244

273

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Section: Transport In a Continuous Density Of Statesmentioning

confidence: 99%

Physical electrochemistry of nanostructured devices

Bisquert

2008

Phys. Chem. Chem. Phys.

244

273

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“…IV we analyze the results obtained for all semianalytical models in the lowconcentration limit and we give a comparison with the results from the Baranovskii model. 14,15 In Sec. V, an overview is presented of semianalytically predicted carrier concentration dependences, and a comparison is made with the numerical results by Pasveer et al We give a simple but accurate expression ͓Eq.…”

Section: Introductionmentioning

confidence: 99%

“…From a theoretical point of view, the carrier concentration dependence of the mobility had already been recognized by Yu et al 13 The first semianalytical model for the problem of hopping in a Gaussian DOS was presented by Baranovskii and co-workers. 14,15 They argued that the hopping processes that most strongly determine the mobility are repeated hops of carriers in deep states to a so-called "transport energy level." 14 From their model, it became evident that the tem-perature dependence of the mobility does not only depend on ŝ, but also on the density of hopping sites.…”

Section: Introductionmentioning

confidence: 99%

“…14,15 They argued that the hopping processes that most strongly determine the mobility are repeated hops of carriers in deep states to a so-called "transport energy level." 14 From their model, it became evident that the tem-perature dependence of the mobility does not only depend on ŝ, but also on the density of hopping sites. Furthermore, the mobility does not have a strict 1 / T 2 dependence.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, the mobility does not have a strict 1 / T 2 dependence. 14 Rubel et al. 15 introduced a substantial improvement of the original model, making use of percolation theory.…”

Section: Introductionmentioning

confidence: 99%

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Charge-carrier concentration dependence of the hopping mobility in organic materials with Gaussian disorder

et al. 2005

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Percolation Approach to Hopping Transport in Organic Disordered Solids

Baranovskiǐ

Zvyagin

Cordes

et al. 2002

phys. stat. sol. (b)

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132

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Subject classification: 72.20.Ee; 72.80.Ng; S12Percolation approach is used to study the dc hopping conductivity and thermopower in systems with a Gaussian density of localized states typical for disordered organic materials. It is shown that the theoretical methods developed earlier for the description of hopping transport in disordered inorganic solids, such as amorphous semiconductors, can also be successfully applied to description of hopping transport in organic disordered solids, such as conjugated or molecularly doped polymers. Calculations within the percolation approach give results in excellent agreement with those obtained by using a more transparent, though less rigorous approach based on the concept of the transport energy.Introduction In various disordered inorganic and organic materials, the transport of charge carriers at low temperatures is related to incoherent hopping between localized states. While the development of theory for transport in inorganic disordered solids, such as doped crystalline semiconductors, mixed crystals, semiconductor glasses, amorphous and microcrystalline semiconductors, was logically consistent, the situation is different for disordered organic solids, such as molecularly doped polymers, conjugated polymers and organic glasses. Efficient theoretical methods have been developed for inorganic systems. Among the most successful methods, one can note the percolation approach and the approach based on the concept of the transport energy. However, these methods are rarely applied to organic systems. On the contrary, description of hopping transport in organic materials is often based on the ensemble averaging of hopping rates, which is known to be quite inappropriate for the description of hopping processes. Such situation is unsatisfactory, since the physics of hopping processes in organic and inorganic solids and the basic models for their description are rather similar [1,2]. In both cases it is assumed that the hopping rate of a charged carrier G ij between two localized states i and j with energies e i and e j separated by the distance R ij is determined by the standard expression [1]

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Charge-carrier transport in disordered organic solids

Cited by 158 publications

References 27 publications

Physical electrochemistry of nanostructured devices

Physical electrochemistry of nanostructured devices

Charge-carrier concentration dependence of the hopping mobility in organic materials with Gaussian disorder

Percolation Approach to Hopping Transport in Organic Disordered Solids

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