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The competition between electron localization and de-localization in Mott insulators underpins the physics of strongly-correlated electron systems. Photo-excitation, which re-distributes charge between sites, can control this many-body…

Strongly Correlated Electrons · Physics 2015-08-05 S. Wall , D. Brida , S. R. Clark , H. P. Ehrke , D. Jaksch , A. Ardavan , S. Bonora , H. Uemura , Y. Takahashi , T. Hasegawa , H. Okamoto , G. Cerullo , A. Cavalleri

We investigate the Mott-Anderson physics in interacting disordered one-dimensional chains through the average single-site entanglement quantified by the linear entropy, which is obtained via density-functional theory calculations. We show…

Strongly Correlated Electrons · Physics 2022-05-25 G. A. Canella , K. Zawadzki , V. V. França

In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms responsible for the fundamental features of Anderson localization. The occurrence strong…

Disordered Systems and Neural Networks · Physics 2023-07-21 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

Electron transport through disordered quasi one-dimensional quantum systems is studied. Decoherence is taken into account by a spatial distribution of virtual reservoirs, which represent local interactions of the conduction electrons with…

Quantum Physics · Physics 2014-02-06 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

Motivated by experimental progress in cold atomic systems, we use and advance Localisation Landscape Theory (LLT), to examine two-dimensional systems with point-like random scatterers. We begin by showing that exact eigenstates cannot be…

Quantum Gases · Physics 2021-11-23 Sophie S. Shamailov , Dylan J. Brown , Thomas A. Haase , Maarten D. Hoogerland

Searching for Anderson localization of light in three dimensions has challenged experimental and theoretical research for the last decades. Here the problem is analyzed through large scale numerical simulations, using a radiative…

Mesoscale and Nanoscale Physics · Physics 2023-12-21 Giuseppe Luca Celardo , Mattia Angeli , Francesco Mattiotti , Robin Kaiser

The emergence of glassy behavior of electrons is investigated for systems close to the disorder and/or interaction-driven metal-insulator transitions. Our results indicate that Anderson localization effects strongly stabilize such glassy…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Dobrosavljevic , D. Tanaskovic , A. A. Pastor

Model Hamiltonians with long-range interaction yield energies that are corrected taking into account the universal behavior of the electron-electron interaction at short range. Although the intention of the paper is to explore the…

Chemical Physics · Physics 2020-10-28 Andreas Savin

The problem of two electrons in a two-dimensional random potential is addressed numerically. Specifically, the role of the Coulomb interaction between electrons on localization is investigated by writing the Hamiltonian on a localized basis…

Disordered Systems and Neural Networks · Physics 2015-06-25 J. Talamantes , M. Pollak , I. Varga

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

We consider Anderson localization and the associated metal-insulator transition for non-interacting fermions in D = 1, 2 space dimensions in the presence of spatially correlated on-site random potentials. To assess the nature of the…

Disordered Systems and Neural Networks · Physics 2014-08-05 Eric C. Andrade , Mark Steudtner , Matthias Vojta

At the Mott transition, electron-electron interaction changes a metal, in which electrons are itinerant, to an insulator, in which electrons are localized. This phenomenon is central to quantum materials. Here we contribute to its…

Strongly Correlated Electrons · Physics 2019-02-20 C. Walsh , P. Sémon , D. Poulin , G. Sordi , A. -M. S. Tremblay

The realization that electron localization in disordered systems (Anderson localization) is ultimately a wave phenomenon has led to the suggestion that photons could be similarly localized by disorder. This conjecture attracted wide…

Disordered Systems and Neural Networks · Physics 2017-05-10 A. A. Chabanov , M. Stoytchev , A. Z. Genack

Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson transition. We accurately measure the…

Disordered Systems and Neural Networks · Physics 2012-04-16 Gabriel Lemarié , Hans Lignier , Dominique Delande , Pascal Szriftgiser , Jean Claude Garreau

We carefully revisit the electron-boson scattering problem, going beyond popular semi-classical treatments. By providing numerically exact results valid at finite temperatures, we demonstrate the existence of a regime of electron-boson…

Strongly Correlated Electrons · Physics 2025-08-26 H. Rammal , A. Ralko , S. Ciuchi , S. Fratini

Anderson localization transitions are a universal quantum phenomenon sensitive to the disorder and dimensionality of electronic systems. Over the past decades, this intriguing topic has inspired overwhelmingly more theoretical studies than…

Mesoscale and Nanoscale Physics · Physics 2024-10-31 Jinhao Cheng , Chen Wang , Wenxue He , Jiaojiao Wang , Yifan Pang , Fan Yang , Shuaishuai Ding , Hechen Ren , Wenping Hu

The review of the modern results in the theoretical and experimental study of the localized interacting electrons is given. After theoretical prediction of the Coulomb gap and the new temperature law in the variable range hopping conduction…

Strongly Correlated Electrons · Physics 2007-05-23 A. L. Efros

A new paradigm of Anderson localization caused by correlations in the long-range hopping along with uncorrelated on-site disorder is considered which requires a more precise formulation of the basic localization-delocalization principles. A…

Disordered Systems and Neural Networks · Physics 2019-03-20 P. Nosov , I. M. Khaymovich , V. E. Kravtsov

We study many-body localization in a one dimensional optical lattice filled with bosons. The interaction between bosons is assumed to be random, which can be realized for atoms close to a microchip exposed to a spatially fluctuating…

Quantum Gases · Physics 2017-12-21 Piotr Sierant , Dominique Delande , Jakub Zakrzewski

Metal insulator transitions driven by local Coulomb interactions are among the most fascinating phenomena in condensed matter physics. They occur in a large variety of transition metal compounds. Most of these strongly correlated materials…

Strongly Correlated Electrons · Physics 2007-05-23 A. Liebsch