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Related papers: Wigner crystals for a planar, equimolar binary mix…

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We study the lowest energy configurations of an equimolar binary mixture of classical pointlike particles with charges $Q_1$ and $Q_2$, such that $q=Q_2/Q_1\in [0,1]$. The particles interact pairwisely via 3D Coulomb potential and are…

Other Condensed Matter · Physics 2016-04-06 Igor Travěnec , Ladislav Šamaj

We study the ground state structure of electronic-like bilayers, where different phases compete upon changing the inter-layer separation or particle density. New series representations with exceptional convergence properties are derived for…

Strongly Correlated Electrons · Physics 2015-06-05 L. Samaj , E. Trizac

We study the ground state ordering and interactions between two two-dimensional Wigner crystals on neutralizing charged plates by means of computer simulation. We consider crystals formed by (i) point-like charges and (ii) charged dimers,…

Soft Condensed Matter · Physics 2007-05-23 Vladimir Lobaskin , Roland R. Netz

We study the ground-state structures of identical classical point charges with Coulomb interactions, confined between two symmetric parallel charged walls. For the well understood homogeneous dielectric case with no electrostatic images,…

Statistical Mechanics · Physics 2015-06-12 L. Samaj , E. Trizac

We consider finite discrete systems consisting of two different atomic types and investigate ground-state configurations for configurational energies featuring two-body short-ranged particle interactions. The atomic potentials favor some…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 Manuel Friedrich , Leonard Kreutz

The ground state configurations and the \lq{}\lq{}normal\rq{}\rq{} mode spectra of a $quasi$-one-dimensional (Q1D) binary system of charged particles interacting through a screened Coulomb potential are presented. The minimum energy…

Soft Condensed Matter · Physics 2010-06-10 W. P. Ferreira , J. C. N. Carvalho , P. W. S. Oliveira , G. A. Farias , F. M. Peeters

The two-dimensional electron gas (2DEG) is a fundamental model, which is drawing increasing interest because of recent advances in experimental and theoretical studies of 2D materials. Current understanding of the ground state of the 2DEG…

Strongly Correlated Electrons · Physics 2025-01-03 Conor Smith , Yixiao Chen , Ryan Levy , Yubo Yang , Miguel A. Morales , Shiwei Zhang

Inspired by the method that can deterministically generated the massive entanglement through phase transitions, we study the ground state properties of a spin-1 condensate mixture, under the premise that the heteronuclear spin-exchange…

Quantum Physics · Physics 2023-06-09 Jie Zhang Longsheng Yu , Zezhen He , Pengjun Wang

Using the Hartree-Fock approximation, we calculate the energy of different Wigner crystal states for the two-dimensional electron gas of a double quantum well system in a strong magnetic field. Our calculation takes interlayer hopping as…

Condensed Matter · Physics 2009-10-22 Lian Zheng , H. A. Fertig

We have re-analysed the rich plethora of ground state configurations of the asymmetric Wigner bilayer system that we had recently published in a related diagram of states [M. Antlanger \textit{et al.}, Phys. Rev. Lett. \textbf{117}, 118002…

Soft Condensed Matter · Physics 2023-11-30 Benedikt Hartl , Marek Mihalkovič , Ladislav Šamaj , Martial Mazars , Emmanuel Trizac , Gerhard Kahl

We propose a simple and efficient real-space approach for the calculation of the ground-state energies of Wigner crystals in 1, 2, and 3 dimensions. To be precise, we calculate the first two terms in the asymptotic expansion of the total…

Strongly Correlated Electrons · Physics 2021-06-23 Estefania Alves , Gian Luigi Bendazzoli , Stefano Evangelisti , J. Arjan Berger

We study the few-body physics of trapped atoms or molecules with electric or magnetic dipole moments aligned by an external field. Using exact numerical diagonalization appropriate for the strongly correlated regime, as well as a classical…

Quantum Gases · Physics 2010-12-16 J. C. Cremon , G. M. Bruun , S. M. Reimann

We study the ground-state properties of a system of identical classical Coulombic point particles, evenly distributed between two equivalently charged parallel plates at distance $d$; the system as a whole is electroneutral. It was…

Strongly Correlated Electrons · Physics 2015-06-05 L. Samaj , E. Trizac

We investigate theoretically the ground-state configurations of two-dimensional charged-particle systems with an elliptical hard-wall boundary and their vibrational eigenmodes. The systems exhibit a series of structural transitions, finally…

Strongly Correlated Electrons · Physics 2007-05-23 Zhen-zhong Zhang , Kai Chang

We study the ground-state properties of one-dimensional fluids of classical (i.e., non-quantum) particles interacting pairwisely via a potential, at the fixed particle density $\rho$. Restricting ourselves to periodic configurations of…

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

We revisit in detail the non-mean-field ground-state phase diagram for a binary mixture of spin-1 Bose-Einstein condensates including quantum fluctuations. The non-commuting terms in the spin-dependent Hamiltonian under single spatial mode…

Quantum Gases · Physics 2011-12-30 Z. F. Xu , R. Lü , L. You

Moir\'e systems have emerged as an exciting tunable platform for engineering and probing quantum matter. A large number of exotic states have been observed, stimulating intense efforts in experiment, theory, and simulation. Utilizing a…

Quantum Physics · Physics 2026-02-23 Conor Smith , Yubo Yang , Zhou-Quan Wan , Yixiao Chen , Miguel A. Morales , Shiwei Zhang

We present a theoretical study of classical Wigner crystals in two- and three-dimensional isotropic parabolic traps aiming at understanding and quantifying the configurational uncertainty due to the presence of multiple stable…

Plasma Physics · Physics 2012-04-27 Arūnas Radzvilavičius , Egidijus Anisimovas

The ground state energy and the lowest excitations of a two dimensional Wigner crystal in a perpendicular magnetic field with one and two electrons per cell is investigated. In case of two electrons per lattice site, the interaction of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Taut

We examine the charge and spin properties of an effective single-band model representing a moir\'e superlattice of the WSe$_{2}$/WS$_{2}$ heterobilayer. We focus on the $2/3$ electron filling, which refers to the formation of a generalized…

Strongly Correlated Electrons · Physics 2025-05-14 Andrzej Biborski , Michał Zegrodnik
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