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In this Letter, we show that at low temperatures, zero-point fluctuations of the plasmon modes of two mutually coupled 2-D planar Wigner crystals give rise to a novel long-range attractive force. For the case where the distance $d$ between…

Soft Condensed Matter · Physics 2016-08-31 A. W. C. Lau , Dov Levine , P. Pincus

We consider temperature-induced melting of a Wigner solid in one dimensional (1D) and two dimensional (2D) lattices of electrons interacting via the long-range Coulomb interaction in the presence of strong disorder arising from charged…

Disordered Systems and Neural Networks · Physics 2022-09-13 DinhDuy Vu , Sankar Das Sarma

We demonstrate that an extended picture of kinetic constraints in glass-forming liquids is sufficient to explain dynamic anomalies observed in dense suspensions of strongly attracting colloidal particles. We augment a simple model of…

Statistical Mechanics · Physics 2009-11-10 Phillip L. Geissler , David R. Reichman

We calculate the magnetic moment (`persistent current') in a strongly correlated electron system --- a Wigner crystal --- in a one-dimensional ballistic ring. The flux- and temperature dependence of the persistent current is shown to be…

Condensed Matter · Physics 2007-05-23 I. V. Krive , R. I. Shekhter , S. M. Girvin , M. Jonson

At low temperature, spheres with a very short-ranged attraction exist as a close-packed solid coexisting with an infinitely dilute gas. We find that the ratio of the interfacial tension between these two phases to the thermal energy…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

The physics of an electron solid, held on a cryogenic liquid surface by a pressing electric field, is examined in a low-density regime that has not been explored before. We consider the effect of the pressing field in distorting the surface…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Masudul Haque , Indranil Paul , Sergey Pankov

We consider a three dimensional Wigner crystal of electrons lying in a host ionic dielectric. Owing to their interaction with the lattice polarization, each localized electron forms a polaron. We study the collective excitations of such a…

Strongly Correlated Electrons · Physics 2009-11-07 S. Fratini , P. Quemerais

We study the effects of long-range electrostatic interactions on the thermal fluctuations of free-standing crystalline membranes exhibiting spontaneous electric polarization directed at each point along the local normal to the surface. We…

Statistical Mechanics · Physics 2019-11-20 Achille Mauri , Mikhail I. Katsnelson

The competition between Coulomb repulsion and kinetic energy in correlated systems can allow electrons to crystallize into Wigner solids. Despite researches across diverse two-dimensional Wigner platforms, the microscopic melting processes…

Strongly Correlated Electrons · Physics 2026-01-06 Chaofei Liu , Jianwang Zhou , Wenao Liao , Zeyu Jiang , Chao Zhang , Tingfei Guo , Tianyou Zhai , Wenhao Zhang , Ying-Shuang Fu , Qi-Kun Xue

We present a fully quantum-mechanical study of the energy-momentum dispersion of running waves, spin-conserving neutral excitations, and spin-reversal neutral excitations in a spin-polarized two-dimensional Wigner crystal (WC). Our results…

Strongly Correlated Electrons · Physics 2025-04-08 Ambuj Jain , Chunli Huang

We study the effects of weak disorder on a Wigner crystal in a magnetic field. We show that an elastic description of the pinned Wigner crystal provides an excellent framework to obtain most of the physically relevant observables. Using…

Strongly Correlated Electrons · Physics 2009-11-07 R. Chitra , T. Giamarchi , P. Le Doussal

We investigate the role of surface plasmons in the electromagnetic Casimir effect at finite temperature, including situations out of global thermal equilibrium. The free energy is calculated analytically and expanded for different regimes…

Quantum Physics · Physics 2010-08-05 F. Intravaia , H. Haakh , C. Henkel

Wigner crystallization of free electrons at room temperature is explored for a new class of metallic ultrathin (transdimensional) materials whose properties can be controlled by their thickness. Our calculations of the critical electron…

Strongly Correlated Electrons · Physics 2026-04-17 Igor V. Bondarev , Alexandra Boltasseva , Jacob B. Khurgin , Vladimir M. Shalaev

Monolayer transition-metal dichalcogenides (TMDs) provide a platform for realizing Wigner crystals and enable their detection via exciton spectroscopy. We develop a microscopic theoretical model for excitons interacting with the localized…

Strongly Correlated Electrons · Physics 2025-12-22 Haydn S. Adlong , Eugen Dizer , Richard Schmidt , Atac Imamoglu , Arthur Christianen

The melting of a Wigner Crystal of electrons placed into a host polar material is examined as a function of the density and the temperature. When the coupling to the longitudinal optical modes of the host medium is turned on, the WC is…

Strongly Correlated Electrons · Physics 2009-10-31 S. Fratini , P. Quemerais

The electrostatic interaction between pairs of spherical or macroscopically long, parallel cylindrical colloids trapped at fluid interfaces is studied theoretically for the case of small inter-particle separations. Starting from the…

Soft Condensed Matter · Physics 2018-11-30 Arghya Majee , Markus Bier , S. Dietrich

It is generally believed that quantum fluctuations collaborate with thermal fluctuations, effectively reducing transition temperatures (e.g. for melting of charge order). We show that this is not always the case and that the interplay…

Strongly Correlated Electrons · Physics 2026-04-23 Aman Kumar , Sogoud Sherif , Veit Elser , Hitesh J. Changlani

Strongly interacting electrons in two-dimensional systems can spontaneously break translational symmetry, forming a periodic Wigner crystal. Although these crystals have been realized in several platforms, experimental studies of their…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 L. Wang , F. Menzel , F. Pichler , P. Knüppel , K. Watanabe , T. Taniguchi , M. Knap , T. Smoleński

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

We investigate the microwave absorption of a pinned, two-dimensional Wigner crystal in a strong magnetic field at finite temperatures. Using a model of a uniform commensurate pinning potential, we analyze thermal broadening of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hangmo Yi , H. A. Fertig
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