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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

In the previous paper [Nenashev et al., arXiv:0912.3161] an analytical theory confirmed by numerical simulations has been developed for the field-dependent hopping diffusion coefficient D(F) in one-dimensional systems with Gaussian…

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

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

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

We report electrical transport measurements on individual disordered carbon nanotubes, grown catalytically in a nanoporous anodic aluminum oxide template. In both as-grown and annealed types of nanotubes, the low-field conductance shows as…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 D. P. Wang , D. E. Feldman , B. R. Perkins , A. J. Yin , G. H. Wang , J. M. Xu , A. Zaslavsky

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

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

We present a study of the temperature (T) dependence of the dc electrical conductivity of polyaniline pellets doped over a wide range. A crossover between low-T variable-range hopping and high-T nearest-neighbor hopping has been found below…

Strongly Correlated Electrons · Physics 2012-12-11 Mirko Baćani , Mario Novak , Ivan Kokanović , Dinko Babić

The high field charge injection and transport properties in reinforced silicone dielectrics were investigated by measuring the time-dependent space charge distribution and the current under dc conditions up to the breakdown field, and were…

Materials Science · Physics 2016-08-04 Yanhui Huang , Linda. S. Schadler

We derive an effective cluster model to address the transport properties of mutually interacting small polarons. We propose a decoupling scheme where the hopping dynamics of any given particle is determined by separating out explicitly the…

Strongly Correlated Electrons · Physics 2009-10-23 S. Ciuchi , S. Fratini

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

Charge transport in QD solids is typically understood as thermally activated tunneling or hopping between states that are localized on individual QDs. Here, we show that the slow relaxation that is associated with the disorder-broadened…

Disordered Systems and Neural Networks · Physics 2025-11-19 Morteza Shokrani , Xinlu Wu , Ebbo Krahmer , Martijn Kemerink

We present a unified calculation method for variable range hopping transport with a varying charge concentration and a varying applied electrical field. We demonstrate that the major differences between the transport properties measured at…

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

A universal mechanism for strong magnetic-field effects of nonmagnetic organic semiconductors is presented. A weak magnetic field (less than hundreds mT) can substantially change the charge carrier hopping coefficient between two…

Mesoscale and Nanoscale Physics · Physics 2010-06-29 X. R. Wang , S. J. Xie

The variable range hopping results for noninteracting electrons of Mott and Shklovskii are generalized to 1D disordered charge density waves and Luttinger liquids using an instanton approach. Following a recent paper by Nattermann,…

Strongly Correlated Electrons · Physics 2009-06-21 Sergey V. Malinin , Thomas Nattermann , Bernd Rosenow

We present a trajectory-resolved framework for charge transport in graphene and related two-dimensional carbon systems beyond the ideal ballistic and fully coherent limits. Transport is described by kinetic Monte Carlo hopping on a…

Mesoscale and Nanoscale Physics · Physics 2026-04-20 J. P. Dadario Pereira , Raphael Tromer , Luiz A. Ribeiro Junior , Douglas S. Galvao

Lectures deal with the theory of electronic transport, in particular with the electrical conductivity, in systems dominated by strong electron-electron repulsion. The concept of charge stiffness is introduced to distinguish conductors and…

Strongly Correlated Electrons · Physics 2009-11-07 P. Prelovsek , X. Zotos

We report on recent experimental results from transport measurements with large Hall bars made of high mobility GaAs/AlGaAs heterostructures. Thermally activated conductivities and hopping transport were investigated in the integer quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Furlan

A universal mechanism for strong magnetic-field effects of nonmagnetic organic semiconductors is presented. A weak magnetic field (less than hundreds mT) can substantially change the charge carrier hopping coefficient between two…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 X. R. Wang , S. J. Xie

The influence of external magnetic field $h$ on a static conductivity of Mott-Hubbard material which is described by model with correlated hopping of electrons has been investigated. By means of canonical transformation the effective…

Strongly Correlated Electrons · Physics 2011-12-30 L. Didukh , O. Kramar , Yu. Skorenkyy , Yu. Dovhopyaty
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