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We review recent progress in the study of transport properties of interacting electrons subject to a disordered potential which is strong enough to localize all single-particle states. This review may also serve as a guide to the recent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. M. Basko , I. L. Aleiner , B. L. Altshuler

In recent years, disorder has been shown to be crucial for the understanding of diluted magnetic semiconductors. Effects of disorder in these materials are reviewed with the emphasis on theoretical works. The types and spatial distribution…

Materials Science · Physics 2009-11-10 C. Timm

Application of the generalized continuity equation reveals that the drift current in conductors is equivalent to a negative diffusion current. A phenomenological model of conductivity is developed using the generalized continuity equations.…

General Physics · Physics 2011-08-19 Arbab I. Arbab

We summarize key experimental studies of the low energy properties of overdoped cuprate high temperature superconductors and conclude that a theoretical understanding of the ``essential physics" is achievable in terms of a conventional…

Superconductivity · Physics 2026-02-13 B. J. Ramshaw , Steven A. Kivelson

The results of experimental studies of conductivity anomalies in film samples of specially synthesized copolymer are analyzed, in which in PVC macromolecules the polyacetylene molecular fragments are embedded with a variable concentration.…

Disordered Systems and Neural Networks · Physics 2013-12-17 D. V. Vlasov , V. I. Kryshtob L. A. Apresyan , T. V. Vlasova , S. I. Rasmagin

We consider low-temperature behavior of weakly interacting electrons in disordered conductors in the regime when all single-particle eigenstates are localized by the quenched disorder. We prove that in the absence of coupling of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. M. Basko , I. L. Aleiner , B. L. Altshuler

It is indisputable that the search for high-temperature superconductivity has stimulated the work on low-dimensional organic conductors at its beginning. Since the discovery of true metal-like conduction in molecular compounds more than 50…

Superconductivity · Physics 2024-03-05 Denis Jerome , Claude Bourbonnais

We develop a detailed analysis of electron transport in normal diffusive con- ductors in the presence of proximity induced superconductivity. A rich structure of temperature and energy dependencies for the system condcutcance, density of…

Condensed Matter · Physics 2007-05-23 A. D. Zaikin , F. K. Wilhelm , A. A. Golubov

Most emergent properties of the materials discovered since the 1980s are related to the existence of electron-electron interactions which are large with respect to the kinetic energies and could not be thoroughly studied before. The…

Strongly Correlated Electrons · Physics 2016-11-06 Henri Alloul

We study the insulating phase of disordered indium oxide films that undergo a field-tuned superconductor-insulator transition. The transport measurements in a perpendicular magnetic field show distinct regimes of strongly fluctuating…

Superconductivity · Physics 2009-11-10 Myles Steiner , Aharon Kapitulnik

A theory of the frequency dependence of the interplane conductivity of a strongly anisotropic superconductor is presented. The form of the conductivity is shown to be a sensitive probe of the strength of quantum and thermal fluctuations of…

Strongly Correlated Electrons · Physics 2009-10-31 L. B. Ioffe , A. J. Millis

A method is presented for approximating the effective conductivity of composite media with thin interphase regions, which is exact to first order in the interphase thickness. The approximations are computationally efficient in the sense the…

Analysis of PDEs · Mathematics 2015-06-15 Bacim Alali , Graeme W. Milton

We suggest a qualitative model of a high-$T_c$ superconductor, based on considerations of thermodynamics of phase transitions. As an example, we consider the Mott transition and classify 5 solid phases around it. In our model, a combined…

Materials Science · Physics 2017-07-05 Nikolai A. Zarkevich

Even after nearly a century of discovery of superconductivity, there has been no direct experimental proof of the expected zero resistance of superconductors. Indeed, it has been believed that it is impossible to experimentally show that…

Superconductivity · Physics 2007-05-23 S. Sarangi , S. P. Chockalingam , Raghav G. Mavinkurve , S. V. Bhat

In low temperature limit, we study electron counting statistics of a disordered conductor. We derive an expression for the distribution of charge transmitted over a finite time interval by using a result from the random matrix theory of…

Condensed Matter · Physics 2008-04-12 Hyunwoo Lee , A. Yu. Yakovetz , L. S. Levitov

In this review, we discuss recent progress in the explorations of topological materials beyond topological insulators; specifically, we focus on topological crystalline insulators and bulk topological superconductors. The basic concepts,…

Materials Science · Physics 2016-01-12 Yoichi Ando , Liang Fu

One of the remarkable features of disordered d-wave superconductors is strong sensitivity of long range properties to the microscopic realization of the disorder potential. Particularly rich phenomenology is observed for the --…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Alexander Altland

High temperature superconductivity is a property of doped antiferromagnetic insulators. The electronic structure is inhomogeneous on short length and time scales, and, as the temperature decreases, it evolves via two crossovers, before long…

Superconductivity · Physics 2009-10-30 V. J. Emery , S. A. Kivelson

We present the metal - insulator transition study of a quantum site percolation model on simple cubic lattice. Transfer matrix method is used to calculate transport properties - Landauer conductance - for the binary distribution of…

Strongly Correlated Electrons · Physics 2009-11-13 Igor Travenec

This paper reviews some selected approaches to the description of transport properties, mainly electroconductivity, in crystalline and disordered metallic systems. A detailed qualitative theoretical formulation of the electron transport…

Statistical Mechanics · Physics 2011-09-27 A. L. Kuzemsky