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The variable range hopping (VRH) model has been widely applied to describe electrical transport in disordered systems, providing theoretical formulas to fit temperature-dependent electric conductivity. These models rely on oversimplified…

Disordered Systems and Neural Networks · Physics 2026-01-16 Chenxin Qin , Chenyan Wang , Mouyang Cheng , Ji Chen

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

Variable-range hopping transport along short one-dimensional wires and across the shortest dimension of thin three-dimensional films and narrow two-dimensional ribbons is studied theoretically. Geometric and transport characteristics of the…

Disordered Systems and Neural Networks · Physics 2011-10-13 A. S. Rodin , M. M. Fogler

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

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

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

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

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

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

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

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

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

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

The crossover between two different conduction mechanisms (variable range and small polaron hoppings) is probed utilizing a conjunction of thermally varying conductivity and impedance in polycrystalline Pr2NiTiO6 (PNT). A combination of…

Materials Science · Physics 2019-09-26 Moumin Rudra , Saswata Halder , Sujoy Saha , Alo Dutta , T. P. Sinha

We report and analyze low-temperature measurements of the conductance of partially disordered reduced graphene oxide, finding that the data follow a simple crossover scenario. At room temperature, conductance is dominated by two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2013-10-24 C. Y. Cheah , C. Gómez-Navarro , L. C. Jaurigue , A. B. Kaiser

Transport studies of a bent quantum Hall junction at integer filling factors show strongly insulating states at higher fields. In this paper we analyze the strongly insulating behavior as a function of temperature T and dc bias V, in order…

Mesoscale and Nanoscale Physics · Physics 2008-07-15 L. Steinke , D. Schuh , M. Bichler , G. Abstreiter , M. Grayson

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

We suggest treating a conducting network of oriented polymer chains as an anisotropic fractal whose dimensionality D=1+\epsilon is close to one. Percolation on such a fractal is studied within the real space renormalization group of Migdal…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. N. Samukhin , V. N. Prigodin , L. Jastrabik , A. J. Epstein

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

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
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