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Related papers: Thermoelectric Effect in Mott Variable-Range Hoppi…

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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 develop a new theoretical scheme for charge transport and thermoelectric response in two-dimensional disordered systems exhibiting crossover from weak localization (WL) to strong localization (SL). The scheme is based on the scaling…

Mesoscale and Nanoscale Physics · Physics 2026-01-19 Takahiro Yamamoto , Hiroki Kaya , Manaho Matsubara , Hidetoshi Fukuyama

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

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

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

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

For a system of localised electron states the DC conductivity vanishes at zero temperature, but localised electrons can conduct at finite temperature. Mott gave a theory for the low-temperature conductivity in terms of a variable-range…

Disordered Systems and Neural Networks · Physics 2009-11-13 B. Mehlig , M. Wilkinson

We investigate the low temperature electron transport properties of chemically reduced graphene oxide (RGO) sheets with different carbon sp2 fractions of 55 to 80 %. We show that in the low bias (Ohmic) regime, the temperature (T) dependent…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Daeha Joung , Saiful I. Khondaker

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

This study analyzes thermoelectric properties of a one-dimensional random conductor which shows localization effects and simultaneously includes resonant scatterers yielding sharp conductance resonances. These sharp features give rise to a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. Müller , W. J. Smit , M. Sigrist

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

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

Bulk single crystal Molybdenum diselenide has been studied for its electronic and thermal transport properties. We perform resistivity measurements with current in-plane (CIP) and current perpendicular to plane (CPP) as a function of…

Materials Science · Physics 2017-07-11 Dhavala Suri , R. S. Patel

The electronic thermoelectric coefficients are analyzed in the vicinity of one and two Anderson localization thresholds in three dimensions. For a single mobility edge, we correct and extend previous studies, and find universal approximants…

Disordered Systems and Neural Networks · Physics 2017-10-09 Kaoru Yamamoto , Amnon Aharony , Ora Entin-Wohlman , Naomichi Hatano

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

Since nearly 4 decades, various theoretical behaviours have been found for the thermopower in the variable range hopping regime. In 1969, Cutler and Mott have predicted a linear variation with temperature T of the thermopower: S = const.T.…

Materials Science · Physics 2009-02-03 Said Boutiche

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 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

We report on a study of Seebeck coefficient and resistivity in the quasi-one-dimensional conductor (TMTSF)$_{2}$PF$_{6}$ extended deep into the Spin-Density-Wave(SDW) state. The metal-insulator transition at $T_{SDW}$ = 12 K leads to a…

Strongly Correlated Electrons · Physics 2016-03-01 Yo Machida , Xiao Lin , Woun Kang , Koichi Izawa , Kamran Behnia
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