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Wigner crystallization of electrons in a 2D quantum dots is reported. It proceeds in two stages: I) via radial ordering of electrons on shells and II) freezing of the inter-shell rotation. The phase boundary of the crystal is computed in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Filinov , M. Bonitz , Yu. E. Lozovik

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 provide a quantitative determination of the crystallization onset for two electrons in a parabolic two-dimensional confinement. This system is shown to be well described by a roto-vibrational model, Wigner crystallization occurring when…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Antonio Puente , Llorens Serra , Rashid G. Nazmitdinov

The existence of Wigner crystallization, one of the most significant hallmarks of strong electron correlations, has to date only been definitively observed in two-dimensional systems. In one-dimensional (1D) quantum wires Wigner crystals…

We study a system of electrons interacting through long--range Coulomb forces on a one--dimensional lattice, by means of a variational ansatz which is the strong--coupling counterpart of the Gutzwiller wave function. Our aim is to describe…

Strongly Correlated Electrons · Physics 2009-11-10 B. Valenzuela , S. Fratini , D. Baeriswyl

We observe the phonon-drag voltage oscillations correlating with the resistance oscillations under microwave irradiation in a two-dimensional electron gas in perpendicular magnetic field. This phenomenon is explained by the influence of…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 A. D. Levin , Z. S. Momtaz , G. M. Gusev , O. E. Raichev , A. K. Bakarov

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

The spin-dependent trial wave functions with rotational symmetry are introduced to describe rotating Wigner molecular states with spin degree of freedom in four- and five-electron quantum dots under magnetic fields. The functions are…

Strongly Correlated Electrons · Physics 2009-11-13 Zhensheng Dai , Jia-Lin Zhu , Ning Yang , Yuquan Wang

A one--dimensional gas of electrons interacting with long--range Coulomb forces ($V(r) \approx 1/r$) is investigated. The excitation spectrum consists of separate collective charge and spin modes, with the charge excitation energies in…

Condensed Matter · Physics 2008-11-26 H. J. Schulz

We consider the effect of electron correlations on tunneling from a 2D electron layer in a magnetic field parallel to the layer. A tunneling electron can exchange its momentum with other electrons, which leads to an exponential increase of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. I. Dykman , T. Sharpee , P. M. Platzman

The phase diagram of a system of electrons hopping on a square lattice and interacting through long-range Coulomb forces is studied as a function of density and interaction strength. The presence of a lattice strongly enhances the stability…

Strongly Correlated Electrons · Physics 2009-11-11 D. Baeriswyl , S. Fratini

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

A 2D electron system in a quantized magnetic field can be driven by microwave radiation into a non-equilibrium state with strong magnetooscillations of the dissipative conductivity. We demonstrate that in such system a negative conductivity…

Mesoscale and Nanoscale Physics · Physics 2012-03-01 S. I. Dorozhkin , I. A. Dmitriev , A. D. Mirlin

Long-wave low-frequency oscillations are described in a Wigner crystal by generalization of the reverse continuum model for the case of electronic lattice. The internal self-consistent long-wave electromagnetic field is used to describe the…

Plasma Physics · Physics 2016-02-03 Anton Stupka

When the Coulomb interaction dominates over kinetic energy, electrons can crystallize into a Wigner crystal (WC). This paradigmatic correlated electronic phase has been realized in two-dimensional electron gases with parabolic band…

A candidate for the insulating phase of the 2D electron gas, seen in high mobility 2D MOSFETS and heterojunctions, is a Wigner crystal pinned by the incipient disorder. With this in view, we study the effect of collective pinning on the…

Strongly Correlated Electrons · Physics 2009-11-10 R. Chitra , T. Giamarchi

We investigate the dynamics of two-dimensional assemblies of rod-shaped magnetic colloids under the influence of an external rotating magnetic field. Using Molecular Dynamics, we simulate the formation of patterns that emerge based on the…

Soft Condensed Matter · Physics 2024-05-27 Jorge L. C. Domingos , F. Q. Potiguar , C. L. N. Oliveira , W. P. Ferreira

We consider a system of one-dimensional spinless particles interacting via long-range repulsion. In the limit of strong interactions the system is a Wigner crystal, with excitations analogous to phonons in solids. In a harmonic crystal the…

Strongly Correlated Electrons · Physics 2012-04-06 K. A. Matveev , A. V. Andreev , M. Pustilnik

Using many-body configuration interaction techniques we show that Wigner crystallization occurs at the zigzag edges of graphene at surprisingly high electronic densities up to $0.8$ $\mbox{nm}^{-1}$. In contrast with one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 A. D. Güçlü

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