V I Arkhipov et al 2002 J. Phys.: Condens. Matter 14 9899 doi:10.1088/0953-8984/14/42/305
V I Arkhipov1, P Heremans1, E V Emelianova2,4, G J Adriaenssens2 and H Bässler3
Show affiliationsAn analytic model of the weak-field carrier transport in an energetically disordered and positionally random hopping system is formulated. Within the framework of this model, the carrier mobility can be calculated by either direct averaging of carrier hopping rates or by the use of the effective transport energy concept. It is shown that multiple carrier jumps within pairs of occasionally close hopping sites affect the position of the effective transport level on the energy scale. In good quantitative agreement with experimental data and results of Monte Carlo simulation, the temperature and concentration dependences of the mobility can be almost perfectly factorized, i.e. represented as a product of two functions one of which depends solely upon the temperature while the other governs the dependence upon the density of localized states. The model is also used for the calculation of trap-controlled hopping mobility and for the analysis of hopping transport at high charge-carrier densities.
72.20.Ee Mobility edges; hopping transport
71.20.Rv Polymers and organic compounds
71.55.Jv Disordered structures; amorphous and glassy solids
72.20.Fr Low-field transport and mobility; piezoresistance
72.80.Le Polymers; organic compounds (including organic semiconductors)
Soft matter, liquids and polymers
Issue 42 (28 October 2002)
Received 1 March 2002
Published 11 October 2002
V I Arkhipov et al 2002 J. Phys.: Condens. Matter 14 9899
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