Fundamental characteristic length scale for the field dependence of hopping charge transport in disordered organic semiconductors

Fundamental characteristic length scale for the field dependence of hopping charge transport in... Using analytical arguments and computer simulations, we show that the dependence of the hopping carrier mobility on the electric field μ(F)/μ(0) in a system of random sites is determined by the localization length a, and not by the concentration of sites N. This result is in drastic contrast to what is usually assumed in the literature for a theoretical description of experimental data and for device modeling, where N−1/3 is considered as the decisive length scale for μ(F). We show that although the limiting value μ(F→0) is determined by the ratio N−1/3/a, the dependence μ(F)/μ(0) is sensitive to the magnitude of a, and not to N−1/3. Furthermore, our numerical and analytical results prove that the effective temperature responsible for the combined effect of the electric field F and the real temperature T on the hopping transport via spatially random sites can contain the electric field only in the combination eFa. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Fundamental characteristic length scale for the field dependence of hopping charge transport in disordered organic semiconductors

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Fundamental characteristic length scale for the field dependence of hopping charge transport in disordered organic semiconductors

Abstract

Using analytical arguments and computer simulations, we show that the dependence of the hopping carrier mobility on the electric field μ(F)/μ(0) in a system of random sites is determined by the localization length a, and not by the concentration of sites N. This result is in drastic contrast to what is usually assumed in the literature for a theoretical description of experimental data and for device modeling, where N−1/3 is considered as the decisive length scale for μ(F). We show that although the limiting value μ(F→0) is determined by the ratio N−1/3/a, the dependence μ(F)/μ(0) is sensitive to the magnitude of a, and not to N−1/3. Furthermore, our numerical and analytical results prove that the effective temperature responsible for the combined effect of the electric field F and the real temperature T on the hopping transport via spatially random sites can contain the electric field only in the combination eFa.
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Publisher
American Physical Society (APS)
Copyright
Copyright © ©2017 American Physical Society
ISSN
1098-0121
eISSN
1550-235X
D.O.I.
10.1103/PhysRevB.96.035204
Publisher site
See Article on Publisher Site

Abstract

Using analytical arguments and computer simulations, we show that the dependence of the hopping carrier mobility on the electric field μ(F)/μ(0) in a system of random sites is determined by the localization length a, and not by the concentration of sites N. This result is in drastic contrast to what is usually assumed in the literature for a theoretical description of experimental data and for device modeling, where N−1/3 is considered as the decisive length scale for μ(F). We show that although the limiting value μ(F→0) is determined by the ratio N−1/3/a, the dependence μ(F)/μ(0) is sensitive to the magnitude of a, and not to N−1/3. Furthermore, our numerical and analytical results prove that the effective temperature responsible for the combined effect of the electric field F and the real temperature T on the hopping transport via spatially random sites can contain the electric field only in the combination eFa.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Jul 21, 2017

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