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We study structural transitions in a system of interacting particles arranged as a crystalline bilayer, as a function of the density $\rho$ and the distance $d$ between the layers. As $d$ is decreased a sequence of transitions involving…

Soft Condensed Matter · Physics 2015-05-13 Tamoghna Das , Surajit Sengupta , Subhasis Sinha

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 report the first experimental observation of a characteristic nonlinear threshold behavior from dc dynamical response as an evidence for a Wigner crystallization in high-purity GaAs 2D hole systems in zero magnetic field. The system…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Jian Huang , L. N. Pfeiffer , K. W. West

We study Wigner crystallization of electron systems in phosphorene quantum dots with confinement of an electrostatic origin with both circular and elongated geometry. The anisotropy of the effective mass allows for the formation of Wigner…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 Tanmay Thakur , Bartłomiej Szafran

The destruction of quasi-long range crystalline order as a consequence of strong disorder effects is shown to accompany the strict localization of all classical plasma modes of one-dimensional Wigner crystals at T=0. We construct a phase…

Disordered Systems and Neural Networks · Physics 2008-06-02 Shimul Akhanjee , Joseph Rudnick

In this paper we present new versatile "2D macroscopic Wigner islands" useful to investigate the various behaviors observed in mesoscopic confined systems. Our "Wigner islands" consist of electrostatically-interacting charged balls with…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Saint Jean , C. Even , C. Guthmann

We investigate the effect of mass anisotropy on the Wigner crystallization transition in a two-dimensional (2D) electron gas. The static and dynamical properties of a 2D Wigner crystal have been calculated for arbitrary 2D Bravais lattices…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Xin Wan , R. N. Bhatt

The physics of interacting quantum wires has attracted a lot of attention recently. When the density of electrons in the wire is very low, the strong repulsion between electrons leads to the formation of a Wigner crystal. We review the rich…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Julia S. Meyer , K. A. Matveev

We study the Wigner crystallization on partially filled topological flat bands. We identify the Wigner crystals by analyzing the cartesian and angular Fourier transform of the pair correlation density of the many-body ground state obtained…

We study the structure and melting of a classical bilayer system of dipoles, in a setup where the dipoles are oriented perpendicular to the planes of the layers and the density of dipoles is the same in each layer. Due to the anisotropic…

Other Condensed Matter · Physics 2008-07-30 Xin Lu , Chang-Qin Wu , Andrea Micheli , Guido Pupillo

The ground state of 2D electrons in high magnetic field is studied by the density matrix renormalization group method. The ground state energy, excitation gap, and pair correlation functions are systematically calculated at various fillings…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 N. Shibata , D. Yoshioka

The interplay between strongly correlated liquid and crystal phases for two-dimensional electrons exposed to a high transverse magnetic field is of fundamental interest. Through the non-perturbative fixed phase diffusion Monte Carlo method,…

Strongly Correlated Electrons · Physics 2018-09-25 Jianyun Zhao , Yuhe Zhang , J. K. Jain

The crystal structure of layered metal IrTe2 is determined using single-crystal x-ray diffraction. At T=220 K, it exhibits Ir and Te dimers forming a valence-bond crystal. Electronic structure calculations reveal an intriguing…

Strongly Correlated Electrons · Physics 2015-06-17 G. L. Pascut , K. Haule , M. J. Gutmann , S. A. Barnett , A. Bombardi , S. Artyukhin , D. Vanderbilt , J. J. Yang , S. -W. Cheong , V. Kiryukhin

The Wigner-crystal phase of two-dimensional electrons interacting via the Coulomb repulsion and subject to a strong Rashba spin-orbit coupling is investigated. For low enough electronic densities the spin-orbit band splitting can be larger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 P. G. Silvestrov , O. Entin-Wohlman

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

We present two-dimensional crystallization results in the square lattice for finite particle systems consisting of two different atomic types. We identify energy minimizers of configurational energies featuring two-body short-ranged…

Statistical Mechanics · Physics 2020-04-22 Manuel Friedrich , Leonard Kreutz

We examine the ground state of a Heisenberg model with arbitrary spin S on a one-dimensional lattice composed of diamond-shaped units. A unit includes two types of antiferromagnetic exchange interactions which frustrate each other. The…

Condensed Matter · Physics 2009-10-28 K. Takano , K. Kubo , H. Sakamoto

The ground-state of two-dimensional (2D) systems of classical particles interacting pairwisely by the generalized Lennard-Jones potential is studied. Taking the surface area per particle $A$ as a free parameter and restricting oneself to…

Other Condensed Matter · Physics 2019-05-22 Igor Travěnec , Ladislav Šamaj

We explore the groundstates of a few dipolar bosons in optical lattices with incommensurate filling. The competition of kinetic, potential, and interaction energies leads to the emergence of a variety of crystal state orders with…

Wigner crystals are predicted as the crystallization of the dilute electron gas moving in a uniform background when the electron-electron Coulomb energy dominates the kinetic energy. The Wigner crystal has previously been observed in the…