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A Wigner crystal, a regular electron lattice arising from strong correlation effects, is one of the earliest predicted collective electronic states. This many-body state exhibits quantum and classical phase transitions and has been proposed…

The properties of a system of charged particles on a 2D lattice, subject to an anisotropic Jahn-Teller-type interaction and 3D Coulomb repulsion are investigated. In the mean-field approximation without Coulomb interaction, the system…

Strongly Correlated Electrons · Physics 2008-11-19 T. Mertelj , V. V. Kabanov , D. Mihailovic

We consider an electron constrained to move on a surface with revolution symmetry in the presence of a constant magnetic field $B$ parallel to the surface axis. Depending on $B$ and the surface geometry the transverse part of the spectrum…

Mathematical Physics · Physics 2015-06-26 Pavel Exner , Alain Joye

We develop a theory of Coulomb drag in ultraclean double layers with strongly correlated carriers. In the regime where the equilibration length of the electron liquid is shorter than the interlayer spacing the main contribution to the…

Strongly Correlated Electrons · Physics 2015-06-18 S. S. Apostolov , A. Levchenko , A. V. Andreev

The electron mass is known to be sensitive to local fluctuations in the electromagnetic field, and undergoes a small shift in a thermal field. It was claimed recently that a very large electron mass shift should be expected near the surface…

Quantum Physics · Physics 2009-11-13 Peter L Hagelstein , Irfan U Chaudhary

Understand the nature of liquid structure and its evolution under different conditions is a major challenge in condensed physics and materials science. Here, we report a pressure-induced structure change spanning a wide pressure range in…

Materials Science · Physics 2025-01-28 X. Z. Yan , Y. M. Chen , Hua Y. Geng , Y. F. Wang , Y. Sun , L. L. Zhang , H. Wang , Y. L. Xu

The ground state properties of a paramagnetic Mott insulator are investigated in the presence of an external electrical field using the inhomogeneous Gutzwiller approximation for a single band Hubbard model in a slab geometry. The metal…

Strongly Correlated Electrons · Physics 2015-05-30 D. Nasr Esfahani , L. Covaci , F. M. Peeters

We study the effect of electron-electron interaction on a two dimensional (2D) disordered lattice. For the case of two electrons the analytical estimates are presented showing a transition from localized to delocalized states in a way…

Condensed Matter · Physics 2017-09-27 Dima L. Shepelyansky , Pil Hun Song

The liquid-to-ordered phase transition in a bilayer system of fermions is studied within the context of a recently proposed density-functional theory [Phys. Rev. A {\bf 92}, 023614 (2015)]. In each two-dimensional layer, the fermions…

Quantum Gases · Physics 2016-06-01 B. P. van Zyl , W. Ferguson

We consider two-dimensional systems of point particles located on rectangular lattices and interacting via pairwise potentials. The goal of this paper is to investigate the phase transitions (and their nature) at fixed density for the…

Mathematical Physics · Physics 2025-09-24 Laurent Bétermin , Ladislav Šamaj , Igor Travěnec

We study the effect of Coulomb interactions on the conductance of a single-mode quantum wire connecting two bulk leads. When the density of electrons in the wire is very low, they arrange in a finite-length Wigner crystal. In this regime…

Mesoscale and Nanoscale Physics · Physics 2010-07-23 K. A. Matveev

Fluid dynamics is one of the cornerstones of modern physics and has recently found applications in the transport of electrons in solids. In most solids electron transport is dominated by extrinsic factors, such as sample geometry and…

Exotic phenomena about the behavior of electrons inside the solid were a long time ago predicted by the quantum mechanic physics and are only recently experimentally observed, in particular for systems of extremely reduced dimensions. Here,…

Chemical Physics · Physics 2010-01-12 Azzedine Bendounan

The Wigner localization is an electron phase at low densities when the electrons are sharply localized around equilibrium positions. The simulation of the Wigner localization phenomenon requires careful treatment of the many-body…

Computational Physics · Physics 2023-06-28 Xue Quan , Huajie Chen

The force of electromagnetic radiation on a dielectric medium may be derived by a direct application of the Lorentz law of classical electrodynamics. While the light's electric field acts upon the (induced) bound charges in the medium, its…

Optics · Physics 2014-01-29 Masud Mansuripur , Armis R. Zakharian , Jerome V. Moloney

A periodic potential applied to a nanotube is shown to lock electrons into incompressible states that can form a devil's staircase. Electron interactions result in spectral gaps when the electron density (relative to a half-filled Carbon…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitry S. Novikov

We report on the results of molecular dynamics simulation (MD) studies of the classical two-dimensional electron crystal in the presence disorder. Our study is motivated by recent experiments on this system in modulation doped semiconductor…

Condensed Matter · Physics 2009-10-22 Min-Chul Cha , H. A. Fertig

We argue that the ground state of a two-dimensional electron gas with Rashba spin-orbit coupling realizes one of several possible liquid crystalline or Wigner crystalline phases in the low-density limit, even for short-range repulsive…

Strongly Correlated Electrons · Physics 2012-01-25 Erez Berg , Mark S. Rudner , Steven A. Kivelson

We analyze in detail the electronic properties of high pressure hydrogen around the liquid-liquid phase transition based on Coupled Electron-Ion Monte Carlo calculations. Computing the off-diagonal single particle density matrix and the…

Materials Science · Physics 2022-01-26 Carlo Pierleoni , Giovanni Rillo , David M. Ceperley , Markus Holzmann

Upon increasing the electron density in a quantum wire, the one-dimensional electron system undergoes a transition to a quasi-one-dimensional state. In the absence of interactions between electrons, this corresponds to filling up the second…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Julia S. Meyer , K. A. Matveev , A. I. Larkin