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An exact analytical theory is developed for calculating the diffusion coefficient of charge carriers in strongly anisotropic disordered solids with one-dimensional hopping transport mode for any dependence of the hopping rates on space and…

Disordered Systems and Neural Networks · Physics 2012-01-10 A. V. Nenashev , F. Jansson , S. D. Baranovskii , R. Österbacka , A. V. Dvurechenskii , F. Gebhard

Effects of strong electric fields on hopping conductivity are studied theoretically. Monte-Carlo computer simulations show that the analytical theory of Nguyen and Shklovskii [Solid State Commun. 38, 99 (1981)] provides an accurate…

Disordered Systems and Neural Networks · Physics 2008-10-31 A. V. Nenashev , F. Jansson , S. D. Baranovskii , R. Österbacka , A. V. Dvurechenskii , F. Gebhard

In disordered systems, the hopping conductivity regime is usually realized at low temperatures where spin-related phenomena differ strongly from the case of delocalized carriers. We develop the unified microscopic theory of current induced…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 D. S. Smirnov , L. E. Golub

The hopping transport of charge carries in 3-dimensional disordered semiconductors is analyzed in this work. It is assumed that the density of localized states is a decreasing function of energy and contribution of thermoactivated jumps…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. V. Nikolaenkov , V. I. Arkhipov , V. R. Nikitenko

DC electric field effect on the anomalous exponent of the hopping conduction in the disorder model is investigated. First, we explain the model and derive an analytical expression of the effective waiting time for the general case. We show…

Disordered Systems and Neural Networks · Physics 2013-11-21 Takeshi Egami , Koshiro Suzuki , Katsuhiro Watanabe

We develop a temperature dependent theory for singlet exciton hopping transport in disordered semiconductors. It draws on the transport level concept within a F\"orster transfer model and bridges the gap in describing the transition from…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Mehdi Ansari-Rad , Stavros Athanasopoulos

The low-field electron diffusion, noise, and the conduction in amorphous chalcogenides are investigated by means of a Monte Carlo implementation of a full three- dimensional variable-range hopping transport model between localized states.…

Materials Science · Physics 2012-03-05 Fabrizio Buscemi , Enrico Piccinini , Rossella Brunetti , Massimo Rudan , Carlo Jacoboni

Using a semi-classical approach and input from experiments on the conductivity of graphene, we determine the electronic density dependence of the electronic transport coefficients -- conductivity, thermal conductivity and thermopower -- of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. M. R. Peres , J. M. B. Lopes dos Santos , T. Stauber

For hopping transport in disordered materials, the mobility of charge carriers is strongly dependent on temperature and the electric field. Our numerical study shows that both the energy distribution and the mobility of charge carriers in…

Disordered Systems and Neural Networks · Physics 2016-10-26 F. Jansson , S. D. Baranovskii , F. Gebhard , R. Österbacka

Charge transport in disordered organic semiconductors occurs by hopping of charge carriers between localized sites that are randomly distributed in a strongly energy dependent density of states. Extracting disorder and hopping parameters…

Materials Science · Physics 2021-03-08 Tanvi Upreti , Yuming Wang , Huotian Zhang , Dorothea Scheunemann , Feng Gao , Martijn Kemerink

Energetic disorder in disordered organic solids has been found to alter their physical parameters. Here, we have demonstrated, by means of Monte-Carlo simulation and experiments, that the electroluminescence (EL) spectrum is dependent on…

Materials Science · Physics 2014-10-06 Arunandan Kumar , Priyanka Tyagi , Ritu Srivastava , M. N. Kamalasanan

The ratio between mobility and diffusion parameters is derived for a Gaussian-like density of states. This steady-state analysis is expected to be applicable to a wide range of organic materials (polymers or small molecules) as it relies on…

Statistical Mechanics · Physics 2007-05-23 Yohai Roichman , Nir Tessler

We study here the random diffusion model. This is a continuum model for a conserved scalar density field $\phi$ driven by diffusive dynamics. The interesting feature of the dynamics is that the {\it bare} diffusion coefficient $D$ is…

Soft Condensed Matter · Physics 2009-11-13 Gene F. Mazenko

Quantum transport in disordered systems is studied using a polaron-based master equation. The polaron approach is capable of bridging the results from the coherent band-like transport regime governed by the Redfield equation to incoherent…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Chee Kong Lee , Jeremy Moix , Jianshu Cao

The temperature-dependence of dynamical properties (e.g., the asymptotic diffusion coefficient and the sub-diffusive exponent) are calculated for charges and excitons in one-dimensional systems subject to static and dynamic disorder. These…

Chemical Physics · Physics 2025-12-02 William Barford

Computer simulation of the hopping charge transport in disordered organic materials has been carried out explicitly taking into account charge-charge interactions. This approach provides a possibility to take into account dynamic…

Disordered Systems and Neural Networks · Physics 2015-05-13 Sergey V. Novikov

Transport properties of disordered electron system can be characterized by the conductance, Lyapunov exponent, or level spacing. Two additional parameters, $K_{11}$ and $\gamma $ were introduced recently which measure the non-homogeneity of…

Disordered Systems and Neural Networks · Physics 2015-03-17 P. Markos

In low temperature supercooled liquid, below the ideal mode coupling theory transition temperature, hopping and continuous diffusion are seen to coexist. We present a theory which incorporates interaction between the two processes and shows…

Statistical Mechanics · Physics 2008-07-08 Sarika Maitra Bhattacharyya , Biman Bagchi , Peter G. Wolynes

We investigate theoretically the effect of a finite electric field on the resistivity of a disordered one-dimensional system in the variable-range hopping regime. We find that at low fields the transport is inhibited by rare fluctuations in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. M. Fogler , R. S. Kelley

We determine the propagation properties of a quantum particle in a d-dimensional lattice with hopping disorder, delta-correlated in time. The system is delocalized: the averaged transition probability shows a diffusive behavior. Then,…

Statistical Mechanics · Physics 2007-05-23 G. C. Ferrario , V. G. Benza
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