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Related papers: Separation of Wigner structures for 2D equimolar b…

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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

We have investigated the ground state configurations of an equimolar, binary mixture of classical charged particles (with nominal charges $Q_1$ and $Q_2$) that condensate on a neutralizing plane. Using efficient Ewald summation techniques…

Soft Condensed Matter · Physics 2013-08-28 Moritz Antlanger , Gerhard Kahl

The zero-temperature phase diagram of binary mixtures of particles interacting via a screened Coulomb pair potential is calculated as a function of composition and charge ratio. The potential energy obtained by a Lekner summation is…

Soft Condensed Matter · Physics 2009-11-13 Lahcen Assoud , Rene Messina , Hartmut Loewen

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

Coulomb interactions can have a decisive effect on the ground state of electronic systems. The simplest system in which interactions can play an interesting role is that of two electrons on a string. In the presence of strong interactions…

Mesoscale and Nanoscale Physics · Physics 2013-10-24 S. Pecker , F. Kuemmeth , A. Secchi , M. Rontani , D. C. Ralph , P. L. McEuen , S. Ilani

A system of confined charged electrons interacting via the long-range Coulomb force can form a Wigner crystal due to their mutual repulsion. This happens when the potential energy of the system dominates over its kinetic energy, i.e., at…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 DinhDuy Vu , Sankar Das Sarma

We obtain the phase diagram of the double-exchange model at low electronic densities in the presence of electron-electron interactions. The single particle problem and its extension to low electronic densities, when a Wigner crystal of…

Strongly Correlated Electrons · Physics 2007-05-23 Vitor M. Pereira , J. M. B. Lopes dos Santos , A. H. Castro Neto

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 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

We study the consequences of Coulomb interactions on a system undergoing a putative first order phase transition. In two dimensions (2D), near the critical density, the system is universally unstable to the formation of new intermediate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Reza Jamei , Steven Kivelson , Boris Spivak

A binary mixture of oppositely charged components confined to a plane such as cationic and anionic lipid bilayers may exhibit local segregation. The relative strength of the net short range interactions, which favors macroscopic…

Soft Condensed Matter · Physics 2009-11-11 Sharon M. Loverde , Yury S. Velichko , Monica Olvera de la Cruz

The starting point is the problem of finding the interaction energy of two coinciding homogeneous cubic charge distributions. The brute force method of subdividing the cube into $N^3$ sub-cubes and doing the sums results in slow convergence…

Atomic and Molecular Clusters · Physics 2007-05-23 Hanno Essen

Coulomb interactions strongly influence the spectrum and the wave functions of few electrons or holes confined in a quantum dot. In particular, when the confinement potential is not too strong, the Coulomb repulsion triggers the formation…

Mesoscale and Nanoscale Physics · Physics 2021-11-22 José C. Abadillo-Uriel , Biel Martinez , Michele Filippone , Yann-Michel Niquet

We study the ground-state Wigner bilayers of pointlike particles with Yukawa pairwise interactions, confined to the surface of two parallel hard walls at dimensionless distance $\eta$. The model involves as limiting cases the unscreened…

Soft Condensed Matter · Physics 2015-08-26 Igor Travenec , Ladislav Samaj

Charging of a clean two-dimensional island is studied in the regime of small concentration of electrons when they form the Wigner crystal. Two forms of electron-electron interaction potential are studied: the pure Coulomb interaction and…

Condensed Matter · Physics 2009-10-30 A. A. Koulakov , B. I. Shklovskii

When the Coulomb repulsion between electrons dominates over their kinetic energy, electrons in two dimensional systems were predicted to spontaneously break continuous translation symmetry and form a quantum crystal. Efforts to observe this…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 T. Smoleński , P. E. Dolgirev , C. Kuhlenkamp , A. Popert , Y. Shimazaki , P. Back , M. Kroner , K. Watanabe , T. Taniguchi , I. Esterlis , E. Demler , A. Imamoğlu

We study an unconventional two-dimensional, two-component classical plasma on a sphere, with emphasis on detecting signatures of melting transitions. This system is relevant to Ising-type quantum Hall states, and is unconventional in the…

Statistical Mechanics · Physics 2013-02-14 Egil V. Herland , Egor Babaev , Parsa Bonderson , Victor Gurarie , Chetan Nayak , Leo Radzihovsky , Asle Sudbø

We explore structural correlations of strongly asymmetric mixtures of binary charged colloids within the primitive model of electrolytes considering large charge and size ratios of 10 and higher. Using computer simulations with explicit…

Soft Condensed Matter · Physics 2022-07-13 Elshad Allahyarov , Hartmut Löwen , Alan Denton

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 report that binary dispersions of like-charged colloidal particles with large charge asymmetry but similar size exhibit phase separation into crystal and fluid phases under very low salt conditions. This is unexpected because the…

Soft Condensed Matter · Physics 2017-12-27 Koki Yoshizawa , Nao Wakabayashi , Masakatsu Yonese , Junpei Yamanaka , C. Patrick Royall
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