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The quantum Coulomb glass model describes disordered interacting electrons on the insulating side of a metal-insulator transition. By taking quantum fluctuations into account it can describe not only the localized limit but also the weakly…

Disordered Systems and Neural Networks · Physics 2015-06-25 Thomas Vojta , Frank Epperlein , Michael Schreiber

Properties of the "electron gas" - in which conduction electrons interact by means of Coulomb forces but ionic potentials are neglected - change dramatically depending on the balance between kinetic energy and Coulomb repulsion. The limits…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Amit Ghosal , A. D. Guclu , C. J. Umrigar , Denis Ullmo , Harold U. Baranger

We investigate the density of states (DOS) near the Fermi energy of one-dimensional spin-polarized electron systems in the quantum regime where the localization length is comparable to or larger than the inter-particle distance. The Wigner…

Condensed Matter · Physics 2009-10-28 Gun Sang Jeon , M. Y. Choi , S. -R. Eric Yang

We study a system of electrons interacting through long--range Coulomb forces on a one--dimensional lattice, by means of a variational ansatz which is the strong--coupling counterpart of the Gutzwiller wave function. Our aim is to describe…

Strongly Correlated Electrons · Physics 2009-11-10 B. Valenzuela , S. Fratini , D. Baeriswyl

Charge ordering is often found in the phase diagram of unconventional superconductors in close proximity to the superconducting state. This has led to the suggestion that fluctuations of charge order can mediate superconducting pairing.…

Strongly Correlated Electrons · Physics 2025-04-04 R. Torsten Clay , Beau A. Thompson

The interplay between Coulomb interactions and kinetic energy underlies many exotic phases in condensed matter physics. In a two-dimensional electronic system, If Coulomb interaction dominates over kinetic energy, electrons condense into a…

Mesoscale and Nanoscale Physics · Physics 2025-10-03 Chenggang Yang , Jun Lu , Hongzhang Wang , Jian Zeng , Wendong Bian , Zhengshan Guo , Jiankun Li , Yulei Zhang , Junwei Luo , Tian Pei

It is shown that pinning of an electron Wigner crystal by a small concentration of charged impurities creates the finite density of charged localized states near the Fermi level. In the case of residual impurities in the spacer this density…

Condensed Matter · Physics 2009-11-10 B. I. Shklovskii

We study a model of two concentric onedimensional rings with incommensurate areas $A_1$ and $A_2$, in a constant magnetic field. The two rings are coupled by a nonhomogeneous inter-ring tunneling amplitude, which makes the one-particle…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 C. M. Canali , W. Stephan , L. Y. Gorelik , R. I. Shekhter , M. Jonson

The crystallization of electrons in quasi low-dimensional solids is studied in a model which retains the full three-dimensional nature of the Coulomb interactions. We show that restricting the electron motion to layers (or chains) gives…

Strongly Correlated Electrons · Physics 2009-11-11 G. Rastelli , P. Quemerais , S. Fratini

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

The existence of Anderson localization, characterized by vanishing diffusion due to strong disorder, has been demonstrated in numerous ways. A systematic approach based on the Anderson quantum model of the Fermi gas in random lattices that…

Disordered Systems and Neural Networks · Physics 2026-03-26 Václav Janiš

We study the ground state of a system of spinless electrons interacting through a screened Coulomb potential in a lattice ring. By using analytical arguments, we show that, when the effective interaction compares with the kinetic energy,…

Statistical Mechanics · Physics 2021-07-29 Massimo Ostilli , Carlo Presilla

Anderson localization is related to exponential localization of a particle in the configuration space in the presence of a disorder potential. Anderson localization can be also observed in the momentum space and corresponds to quantum…

Atomic Physics · Physics 2017-06-07 Krzysztof Giergiel , Krzysztof Sacha

Charge ordering (CO) is a phenomenon in which electrons in solids crystallize into a periodic pattern of charge-rich and charge-poor sites owing to strong electron correlations. This usually results in long-range order. In geometrically…

We investigate a system of equally charged Coulomb-interacting particles confined to a toroidal helix in the presence of an external electric field. Due to the confinement, the particles experience an effective interaction that oscillates…

Classical Physics · Physics 2020-08-05 Ansgar Siemens , Peter Schmelcher

We investigate the low density limit of the Homogeneous Electron system, often called the {\it Strictly Correlated} regime. We begin with a systematic presentation of the expansion around infinite $r_S$, based on the first quantized…

Strongly Correlated Electrons · Physics 2021-01-05 Tom Banks , Bingnan Zhang

At very low density, the electrons in a uniform electron gas spontaneously break symmetry and form a crystalline lattice called a Wigner crystal. But which type of crystal will the electrons form? We report a numerical study of the density…

Within the simplest model of metals, namely a gas of electrons with Coulomb interactions, in the presence of a uniform background of positive charge to enforce electric neutrality of the system, we have derived a mechanism, by which the…

Strongly Correlated Electrons · Physics 2007-05-23 Christofer Cronstrom , Milan Noga

We investigate the influence of confinement on the positional order of a quasi-1D electron system trapped on the surface of liquid helium. We find evidence that the melting of the Wigner solid (WS) depends on the confinement strength, as…

The density of states of one-dimensional disordered electron systems with long range Coulomb interaction is studied in the weak pinning limit. The density of states is found to follow a power law with an exponent determined by localization…

Strongly Correlated Electrons · Physics 2009-11-07 Hyun C. Lee
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