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Transport in disordered systems often occurs via the variable range hopping (VRH) in the dilute carrier density limit, where electrons hop between randomly distributed localized levels. We study the nonequilibrium transport by a uniform DC…

Disordered Systems and Neural Networks · Physics 2025-09-24 Kunal Mozumdar , Herbert F. Fotso , Jong E. Han

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

For the low-temperature electrical conductance of a disordered {\it quantum insulator} in $d$-dimensions, Mott \cite{mott} had proposed his Variable Range Hopping (VRH) formula, $G(T) = G_0 {\rm exp}[-(T_0/T)^{\gamma}]$, where $G_0$ is a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Asok K. Sen , Somnath Bhattacharya

A semi-phenomenological theory of variable-range hopping (VRH) is developed for two-dimensional (2D) quasi-one-dimensional (quasi-1D) systems such as arrays of quantum wires in the Wigner crystal regime. The theory follows the phenomenology…

Strongly Correlated Electrons · Physics 2007-05-23 Sofian Teber

We study the variable-range hopping (VRH) of bosons in an array of sites with short-range interactions and a large characteristic coordination number. The latter leads to strong quantum interference phenomena yet allows for their analytical…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 S. V. Syzranov , A. Moor , K. B. Efetov

Mott's variable range hopping (v.r.h.) is the phonon-induced hopping of electrons in disordered solids (such as doped semiconductors) within the regime of strong Anderson localization. It was introduced by N.~Mott to explain the anomalous…

Probability · Mathematics 2025-07-09 Alessandra Faggionato

Computer modeling of the VRH conductivity in the two-dimensional system has been done by kinetic Monte Carlo method, which includes some new elements. Study of the temperature dependence of the conductivity, testing of the different scaling…

Strongly Correlated Electrons · Physics 2016-08-31 D. N. Tsigankov , A. L. Efros

On the basis of the Kubo-Luttinger linear response theory combined with the scaling theory of Anderson localization predicting the energy dependence of localization length near the mobility edge, we have studied the thermoelectric response…

Materials Science · Physics 2022-04-07 Takahiro Yamamoto , Masao Ogata , Hidetoshi Fukuyama

We have fabricated oxygen deficient polycrystalline ZnO films by the rf sputtering deposition method. To systematically investigate the charge transport mechanisms in these samples, the electrical resistivities have been measured over a…

Disordered Systems and Neural Networks · Physics 2017-02-23 Yung-Lung Huang , Shao-Pin Chiu , Zhi-Xin Zhu , Zhi-Qing Li , Juhn-Jong Lin

Qualitatively new transport mechanism is suggested for hopping of carriers according to which the variable-range hopping (VRH) arises from the resonant tunneling between transport states brought into resonance by Coulomb potentials produced…

Disordered Systems and Neural Networks · Physics 2009-10-31 V. I. Kozub , S. D. Baranovskii , I. Shlimak

Mott variable-range hopping is a fundamental mechanism for electron transport in disordered solids in the regime of strong Anderson localization. We give a brief description of this mechanism, recall some results concerning the behavior of…

Probability · Mathematics 2018-06-19 Alessandra Faggionato

The resistivity of a dense crystalline array of semiconductor nanocrystals (NCs) depends in a sensitive way on the level of doping as well as on the NC size and spacing. The choice of these parameters determines whether electron conduction…

Mesoscale and Nanoscale Physics · Physics 2012-05-23 Brian Skinner , Tianran Chen , B. I. Shklovskii

We analize electrical conductivity controlled by hopping of bound spin polarons in disordered solids with wide distributions of electron energies and polaron shifts (barriers). By means of percolation theory and Monte Carlo simulations we…

Materials Science · Physics 2009-11-07 M. Foygel , R. D. Morris , A. G. Petukhov

We study the thermopower of a disordered nanowire in the field effect transistor configuration. After a first paper devoted to the elastic coherent regime (Bosisio R., Fleury G. and Pichard J.-L. 2014 \textit{New J. Phys.} \textbf{16}…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Riccardo Bosisio , Cosimo Gorini , Geneviève Fleury , Jean-Louis Pichard

At low injection or low temperatures, electron transport in disordered semiconductors is dominated by phonon-assisted hopping between localized states. A very popular approach to this hopping transport is the Miller-Abrahams model that…

Disordered Systems and Neural Networks · Physics 2023-06-16 Abel Thayil , Marcel Filoche

We investigate the effect of a metal plate on the variable range hopping (VRH) conductivity of a two dimensional electron-glass (EG) system. The VRH conductivity is known to have a stretched exponential dependence on temperature, with an…

Disordered Systems and Neural Networks · Physics 2021-01-22 Ofek Asban , Alexander Burin , Alexander Shnirman , Moshe Schechter

We study the temperature dependence of the conductivity of the 2D electronic solid. In realistic samples, a domain structure forms in the solid and each domain randomly orients in the absence of the in-plane field. At higher temperature,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Shi-Jie Yang , Yue Yu

A systematic study of the transport energy in disordered organic semiconductors based on variable range hopping theory has been presented here. The temperature, electric field, material disorder and carrier concentration dependent transport…

Disordered Systems and Neural Networks · Physics 2012-11-21 Ling Li , Nianduan Lu , Ming Liu

Hopping transport, characterized by carrier tunneling between localized states, is a key mechanism in disordered materials such as organic semiconductors, perovskites, nitride alloys, and 2D material-based inks. Two main regimes are…

Disordered Systems and Neural Networks · Physics 2026-01-06 Alejandro Toral-Lopez , Damiano Marian , Gianluca Fiori

Numerous experimental and theoretical studies have established that intramolecular vibrational energy redistribution (IVR) in isolated molecules has a heirarchical tier structure. The tier structure implies strong correlations between the…

Chaotic Dynamics · Physics 2009-11-07 Srihari Keshavamurthy , Nicholas R. Cerruti , Steven Tomsovic
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