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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

Although consensus exists that the thermoelectric properties of doped organic semiconductors result from a complex interplay between a large number of mutually dependent factors, there is no consensus on which of these are dominant, or even…

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

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

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 hopping conduction in a composite made of straight metallic nanowires randomly and isotropically suspended in an insulator. Uncontrolled donors and acceptors in the insulator lead to random charging of wires and hence finite…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tao Hu , B. I. Shklovskii

We study Coulomb drag in a pair of parallel one-dimensional electron systems within the framework of the Tomanaga-Luttinger model. We find that Coulomb coupling has a much stronger effect on one dimensional wires than on two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rochus Klesse , Ady Stern

In earlier work we showed that in the bulk, the correlation of gaps in dimer systems on the hexagonal lattice is governed, in the fine mesh limit, by Coulomb's law for 2D electrostatics. We also proved that the scaling limit of the discrete…

Mathematical Physics · Physics 2020-12-08 Mihai Ciucu

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

The room temperature liquid metal related electronics has been found important in a wide variety of emerging areas over the past few years. However, its failure features under high electrical current densities are not clear until now. Here…

Materials Science · Physics 2013-09-04 Rongchao Ma , Cangran Guo , Yixin Zhou , Jing Liu

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

In the ideal disorder-free situation, a two-dimensional band gap insulator has an activation energy for conductivity equal to half the band gap $\Delta$. But transport experiments usually exhibit a much smaller activation energy at low…

Mesoscale and Nanoscale Physics · Physics 2022-02-24 Yi Huang , Yanjun He , Brian Skinner , B. I. Shklovskii

Thin films of topological insulators (TI) attract large attention because of expected topological effects from the inter-surface hybridization of Dirac points. However, these effects may be depleted by unexpectedly large energy smearing…

Mesoscale and Nanoscale Physics · Physics 2021-05-24 Yi Huang , B. I. Shklovskii

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

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

A model of charge hopping transport that accounts for anisotropy of localized states and Coulomb interaction between charges is proposed. For the anisotropic localized states the degree of orientation relates exponentially to the ratio of…

Mesoscale and Nanoscale Physics · Physics 2022-04-05 S. Ihnatsenka

Magnetic field-driven domain wall motion in an ultrathin Pt/Co(0.45nm)/Pt ferromagnetic film with perpendicular anisotropy is studied over a wide temperature range. Three different pinning dependent dynamical regimes are clearly identified:…

Disordered Systems and Neural Networks · Physics 2014-07-30 J. Gorchon , S. Bustingorry , J. Ferré , V. Jeudy , A. B. Kolton , T. Giamarchi

We have studied the resistivity, $\rho$, of a two-dimensional electron system in silicon in the temperature range 200 mK < T < 7.5 K at zero magnetic field at low electron densities, when the electron system is in the insulating regime. Our…

Condensed Matter · Physics 2009-10-28 Whitney Mason , S. V. Kravchenko , G. E. Bowker , J. E. Furneaux

We have conducted temperature and frequency dependent transport measurements in amorphous Nb_x Si_{1-x} samples in the insulating regime. We find a temperature dependent dc conductivity consistent with variable range hopping in a Coulomb…

Strongly Correlated Electrons · Physics 2009-11-07 Erik Helgren , George Grüner , Martin Ciofalo , David V. Baxter , John P. Carini

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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