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Related papers: Dynamic Response of Wigner Crystals

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The quantum-classical crossover from the Fermi liquid towards the Wigner solid is numerically revisited, considering small square lattice models where electrons interact via a Coulomb U/r potential. We review a series of exact numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jean-Louis Pichard , Giuliano Benenti , Georgios Katomeris , Franck Selva , Xavier Waintal

The strongly correlated phases of the homogeneous electron gas constitute the vocabulary of many-body condensed matter physics and find a natural realization in semiconductors. In this setting, recent neural-network variational Monte Carlo…

Strongly Correlated Electrons · Physics 2026-05-08 Pierre-Antoine Graham , Filippo Gaggioli , Liang Fu

Strongly interacting electronic systems possess rich phase diagrams resulting from the competition between different quantum ground states. A general mechanism that relieves this frustration is the emergence of microemulsion phases, where…

One of the most fundamental and yet elusive collective phases of an interacting electron system is the quantum Wigner crystal (WC), an ordered array of electrons expected to form when the electrons' Coulomb repulsion energy eclipses their…

Mesoscale and Nanoscale Physics · Physics 2019-03-26 H. Deng , L. N. Pfeiffer , K. W. West , K. W. Baldwin , L. W. Engel , M. Shayegan

Wigner crystals (WC) are electronic phases peculiar to low-density systems, particularly in the uniform electron gas. Since its introduction in the early twentieth century, this model has remained essential to many aspects of electronic…

Mesoscale and Nanoscale Physics · Physics 2017-05-01 Fergus J. M. Rogers , Pierre-François Loos

Dominating finite-range interactions in many-body systems can lead to intriguing self-ordered phases of matter. Well known examples are crystalline solids or Coulomb crystals in ion traps. In those systems, crystallization proceeds via a…

Trapped electrons have emerged as an interesting platform for quantum information processing due to their light mass, two-level spin states, and potential for fully electronic manipulation. Previous experiments have demonstrated electron…

As the electronic charge distribution in a wide quantum well is tuned from a single-layer through an interacting bilayer configuration to weakly-coupled parallel layers, we observe an insulating phase concurrently manifesting a dramatic…

Condensed Matter · Physics 2009-10-28 H. C. Manoharan , Y. W. Suen , M. B. Santos , M. Shayegan

Photoemission and tunneling spectroscopies measure the energies at which single electrons can be added to or removed from an electronic system. Features observed in such spectra have revealed electrons coupling to vibrational modes of ions…

Strongly Correlated Electrons · Physics 2017-05-09 Joonho Jang , Benjamin Hunt , Loren N. Pfeiffer , Kenneth W. West , Raymond C. Ashoori

When the kinetic energy of a collection of interacting two-dimensional (2D) electrons is quenched at very high magnetic fields so that the Coulomb repulsion dominates, the electrons are expected to condense into an ordered array, forming a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

Low-disorder two-dimensional electron systems in the presence of a strong, perpendicular magnetic field terminate at very small Landau level filling factors in a Wigner crystal (WC), where the electrons form an ordered array to minimize the…

One of the most fascinating ground states of an interacting electron system is the so-called Wigner crystal where the electrons, in order to minimize their repulsive Coulomb energy, form an ordered array. Here we report measurements of the…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 H. Deng , L. W. Engel , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

A new bosonic, excitonic method for interacting electrons is developed. For two-dimensional electron liquid, it reveals a noncompensated quantum crystal phase ranging from the high density, or vanishing Coulomb interaction, limit: $r_s=0$,…

Materials Science · Physics 2007-05-23 A. Kashuba

The multiple-spin exchange frequencies of the bilayer Wigner crystal are determined by the semiclassical method, which is asymptotically exact in the limit of dilute electron densities. The evolution of the exchange frequencies with…

Strongly Correlated Electrons · Physics 2025-03-05 Ilya Esterlis , Dmitry Zverevich , Zekun Zhuang , Alex Levchenko

State-dependent conformational changes play a central role in molecular dynamics, yet they are often difficult to observe or simulate due to their complexity and ultrafast nature. One alternative approach is to emulate such phenomena using…

(This is a substantially shortened version of the original abstract:) The Wigner crystal phase diagram of the bilayer systems have been studied using variational methods. Five crystal phases are obtained. As the layer spacing increases, the…

Condensed Matter · Physics 2016-08-31 S. Narasimhan , Tin-Lun Ho

The one-- and two-- particle densities of up to four interacting electrons with spin, confined within a quasi one--dimensional ``quantum dot'' are calculated by numerical diagonalization. The transition from a dense homogeneous charge…

Condensed Matter · Physics 2009-10-22 K. Jauregui , W. Haeusler , B. Kramer , PTB Braunschweig

The stability of different phases of the three-dimensional non-relativistic electron gas is analyzed using stochastic methods. With decreasing density, we observe a {\it continuous} transition from the paramagnetic to the ferromagnetic…

Condensed Matter · Physics 2009-10-31 G. Ortiz , M. Harris , P. Ballone

Crystallization of a classical two-dimensional one-component plasma (electrons interacting with the Coulomb repulsion in a uniform neutralizing positive background) is investigated with a molecular dynamics simulation. The positional and…

Strongly Correlated Electrons · Physics 2009-10-31 Satoru Muto , Hideo Aoki

We studied the structural, dynamical properties and melting of a quasi-one-dimensional system of charged particles, interacting through a screened Coulomb potential. The ground state energy was calculated and, depending on the density and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. Piacente , I. V. Schweigert , J. J. Betouras , F. M. Peeters