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RESEARCH PRODUCT

Finite-size scaling of charge carrier mobility in disordered organic semiconductors

Denis AndrienkoPascal KordtThomas Speck

subject

Amorphous semiconductorsCondensed Matter - Materials ScienceMaterials scienceStatistical Mechanics (cond-mat.stat-mech)Condensed matter physicsCharge carrier mobilityGaussianExtrapolationMaterials Science (cond-mat.mtrl-sci)FOS: Physical sciences02 engineering and technology021001 nanoscience & nanotechnology01 natural sciencesOrganic semiconductorsymbols.namesakeLattice (order)0103 physical sciencessymbolsCharge carrier010306 general physics0210 nano-technologyScalingCondensed Matter - Statistical Mechanics

description

Simulations of charge transport in amorphous semiconductors are often performed in microscopically sized systems. As a result, charge carrier mobilities become system-size dependent. We propose a simple method for extrapolating a macroscopic, nondispersive mobility from the system-size dependence of a microscopic one. The method is validated against a temperature-based extrapolation [A. Lukyanov and D. Andrienko, Phys. Rev. B 82, 193202 (2010)]. In addition, we provide an analytic estimate of system sizes required to perform nondispersive charge transport simulations in systems with finite charge carrier density, derived from a truncated Gaussian distribution. This estimate is not limited to lattice models or specific rate expressions.

10.1103/physrevb.94.014208http://dx.doi.org/10.1103/physrevb.94.014208