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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 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

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

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 investigate the effect of coupling Anderson localized particles in one dimension to a system of marginally localized phonons having a symmetry protected delocalized mode at zero frequency. This situation is naturally realized for…

Disordered Systems and Neural Networks · Physics 2016-03-21 Sumilan Banerjee , Ehud Altman

Variable-range hopping conductivity has long been understood in terms of a canonical prescription for relating the single-particle density of states to the temperature-dependent conductivity. Here we demonstrate that this prescription…

Disordered Systems and Neural Networks · Physics 2016-09-01 Tianran Chen , Brian Skinner

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

Numerical calculations of anisotropic hopping transport based on the resistor network model are presented. Conductivity is shown to follow the stretched exponential dependence on temperature with exponents changing from 1/4 to 1 as the wave…

Mesoscale and Nanoscale Physics · Physics 2016-11-09 S. Ihnatsenka

An influence of the localization of itinerant electrons induced by correlated hopping on the electronic charge and heat transport is discussed for the lightly doped Mott insulator phase of the Falicov-Kimball model. The case of strongly…

Strongly Correlated Electrons · Physics 2020-03-05 D. A. Dobushovskyi , A. M. Shvaika

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 studied electrical resistance of a single-crystalline SmB6 sample with a focus on the region of the "low-temperature resistivity plateau". Our observations did not show any true saturation of the electrical resistance at temperatures…

Strongly Correlated Electrons · Physics 2017-09-08 Marianna Batkova , Ivan Batko , Slavomir Gabani , Emil Gazo , Elena Konovalova , Vladimir Filippov

The temperature and electrical field dependent conductivity of n-type CdSe nanocrystal thin films is investigated. In the low electrical field regime, the conductivity follows G ~ exp(-(T*/T)^0.5) in the temperature range 10K<T<120K. At…

Materials Science · Physics 2009-11-10 Dong Yu , Congjun Wang , Brian L. Wehrenberg , Philippe Guyot-Sionnest

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 consider random walks in a random environment which are generalized versions of well-known effective models for Mott variable-range hopping. We study the homogenized diffusion constant of the random walk in the one-dimensional case. We…

Probability · Mathematics 2009-09-29 P. Caputo , A. Faggionato

Thermodynamics and transport properties of a dissipative particle in a tight-binding model are studied through specific heat and optical conductivity. A weak coupling theory is constituted to study the crossover behavior between the…

Statistical Mechanics · Physics 2009-10-30 Takeo Kato , Masatoshi Imada

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 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

Mott variable range hopping is a fundamental mechanism for low-temperature electron conduction in disordered solids in the regime of Anderson localization. In a mean field approximation, it reduces to a random walk (shortly, Mott random…

Probability · Mathematics 2016-05-13 Alessandra Faggionato , Nina Gantert , Michele Salvi

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. The conductivity at finite temperature is nonzero only because of inelastic electron-electron…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We use a mean-field (Hartree-like) approach to study the conductance of a strongly localized electron system in two dimensions. We find a crossover between a regime where Coulomb interactions modify the conductance significantly to a regime…

Disordered Systems and Neural Networks · Physics 2015-05-14 Ariel Amir , Yuval Oreg , Yoseph Imry
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