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The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. The term ``Anderson transition'' is understood in a broad sense, including both metal-insulator transitions and quantum-Hall-type…

Mesoscale and Nanoscale Physics · Physics 2008-10-20 F. Evers , A. D. Mirlin

We study ground state and finite temperature properties of disordered heavy fermion metals by using a generalization of dynamical mean field theory which incorporates Anderson localization effects. The emergence of a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. O. Aguiar , E. Miranda , V. Dobrosavljevic

From density functional calculations, we show that localized states stemming from defects or topological disorder exhibit an anomalously large electron-phonon coupling. We provide a simple analysis to explain the observation and perform a…

Disordered Systems and Neural Networks · Physics 2009-11-10 Raymond Atta-Fynn , Parthapratim Biswas , D. A. Drabold

We investigate quantum phase transitions in the extended periodic Anderson model, which includes electron correlations within and between itinerant and localized bands. We calculate zero and finite temperature properties of the system using…

Strongly Correlated Electrons · Physics 2009-11-13 Akihisa Koga , Norio Kawakami , Robert Peters , Thomas Pruschke

Influence of disorder on the temperature of superconducting transition (T_c) is studied within the sigma-model renormalization group framework. Electron-electron interaction in particle-hole and Cooper channels is taken into account and…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

The Anderson model for independent electrons in a disordered potential is transformed analytically and exactly to a basis of random extended states leading to a variant of augmented space. In addition to the widely-accepted phase diagrams…

Strongly Correlated Electrons · Physics 2007-05-23 Nigel Goldenfeld , Roger Haydock

We report a numerical analysis of Anderson localization in a model of a doped semiconductor. The model incorporates the disorder arising from the random spatial distribution of the donor impurities and takes account of the electron-electron…

Materials Science · Physics 2015-06-04 Yosuke Harashima , Keith Slevin

We consider the transport of non-interacting electrons on two- and three-dimensional random Voronoi-Delaunay lattices. It was recently shown that these topologically disordered lattices feature strong disorder anticorrelations between the…

Disordered Systems and Neural Networks · Physics 2015-12-01 Martin Puschmann , Philipp Cain , Michael Schreiber , Thomas Vojta

We investigate the behavior of the thermoelectric power [S] in disordered systems close to the Anderson-type metal-insulator transition [MIT] at low temperatures. In the literature, we find contradictory results for S. It is either argued…

Disordered Systems and Neural Networks · Physics 2017-09-27 C. Villagonzalo , R. A. Roemer

This paper describes experiments utilizing a unique property of electron-glasses to gain information on the fundamental nature of the interacting Anderson-localized phase. The methodology is based on measuring the energy absorbed by the…

Strongly Correlated Electrons · Physics 2015-01-16 Z. Ovadyahu

The presence of disorder can severely impede wave transport, resulting in the famous Anderson localization. Previous theoretical studies found that Anderson transition can exist in one-dimensional (1D) non-Hermitian disordered rings with…

Applied Physics · Physics 2025-02-13 Wei Wang , Xulong Wang , Guancong Ma

The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. We focus on the character of criticality as well as on underlying symmetries and topologies that are crucial for understanding…

Disordered Systems and Neural Networks · Physics 2014-11-21 A. D. Mirlin , F. Evers , I. V. Gornyi , P. M. Ostrovsky

We study the thermal transport properties in three-dimensional disordered systems close to the metal-insulator transition within linear response. Using a suitable form for the energy-dependent conductivity $\sigma$, we show that the value…

Disordered Systems and Neural Networks · Physics 2016-08-15 C. Villagonzalo , R. A. Römer , M. Schreiber , A. MacKinnon

It is commonly accepted that there are no phase transitions in one-dimensional (1D) systems at a finite temperature, because long-range correlations are destroyed by thermal fluctuations. Here we demonstrate that the 1D gas of short-range…

Disordered Systems and Neural Networks · Physics 2015-05-14 I. L. Aleiner , B. L. Altshuler , G. V. Shlyapnikov

We study electron localization in disordered quantum systems, focusing on both individual eigenstates and thermal states. We employ complex polarization as a numerical indicator to characterize the system's localization length. Furthermore,…

Disordered Systems and Neural Networks · Physics 2024-04-30 Chong Sun

The interplay between Mott and Anderson routes to localization in disordered interacting systems gives rise to different transitions and transport regimes. Here, we investigate the phase diagram at finite temperatures using dynamical mean…

Strongly Correlated Electrons · Physics 2015-09-25 Helena Braganca , M. C. O. Aguiar , J. Vucicevic , D. Tanaskovic , V. Dobrosavljevic

Several new aspects of the subtle interplay between electronic correlations and disorder are reviewed. First, the dynamical mean-field theory (DMFT)together with the geometrically averaged ("typical") local density of states is employed to…

Strongly Correlated Electrons · Physics 2015-05-18 K. Byczuk , W. Hofstetter , U. Yu , D. Vollhardt

So far, the efficiency of thermoelectric energy conversion remains low compared to traditional technologies, such as coal or nuclear. This low efficiency can be explained by connecting the thermoelastic properties of the electronic working…

Materials Science · Physics 2024-02-28 I. Khomchenko , H. Ouerdane , G. Benenti

Several amorphous silicon structures were generated using a classical molecular dynamics (MD) protocol of melting and quenching with different quenching rates. An analysis of the calculated electronic properties of these structures revealed…

Materials Science · Physics 2020-12-23 Reza Vatan Meidanshahi , Payam Mehr , Stephan Marshal Goodnick

Anderson (localization) transition is a universal wave phenomenon characterized by a disorder-induced quantum phase transition from extended to localized states, whereas the non-Hermitian skin effect is a generic feature of non-Hermitian…

Disordered Systems and Neural Networks · Physics 2026-03-31 C. Wang , X. R. Wang , Hechen Ren
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