Beyond the effective temperature: The electron ensemble at high electric fields in disordered organics

Jurić, Ivan and Batistić, Ivo and Tutiš, Eduard (2010) Beyond the effective temperature: The electron ensemble at high electric fields in disordered organics. Physical Review B, 82 (16). pp. 165205-11. ISSN 1098-0121

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Abstract

Hopping between localized polaronic states, with a Gaussian distribution in energy, is regarded as the main mechanism of electric conduction in disordered organics. Several authors have recently suggested that the hopping electrons, subjected to an electric field, can be described as a homogeneous ‘overheated’ gas, with its “effective temperature” sufficient for a parametrization of the ensemble and the current. It is not clear how such a picture could be reconciled with the observed strongly oriented filamentization of the flow. We show, through extensive numeric simulations, that the picture is misleading as it can overestimate the electron mobility by orders of magnitude. The reason lies in deviations of the average site occupancies from the effective Boltzmann distribution. The ensemble can be described by a distribution function with two parameters—the effective temperature and the variance of the occupancy deviations. The two are connected by a simple universal relation. The spatial structure of the occupancy deviations is found to be connected to the current filaments and its neglect is recognized as the cause for the failure of mobility calculations based on the overheated gas concept. Thus we identify those aspects, lying beyond the overheated gas picture, that are of a fundamental importance to a proper understanding of the transport in disordered organics.

Item Type: Article
Keywords: effective temperature, current filaments, hopping transport, Gaussian disorder
Date: October 2010
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2010) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 035-0352826-2847
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 31 May 2014 19:56
Last Modified: 24 Feb 2016 15:28
URI: http://digre.pmf.unizg.hr/id/eprint/2033

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