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Related papers: Wigner Crystallization in mesoscopic 2D electron s…

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The strongly correlated phases of the homogeneous electron gas constitute the vocabulary of many-body condensed matter physics and find a natural realization in semiconductors. In this setting, recent neural-network variational Monte Carlo…

Strongly Correlated Electrons · Physics 2026-05-08 Pierre-Antoine Graham , Filippo Gaggioli , Liang Fu

Multielectron semiconductor quantum dots (QDs) provide a novel platform to study the role of Coulomb correlations in finite quantum systems and their impact on many-body energy spectra. An example is the formation of interaction-driven,…

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

The Wigner crystal on liquid He accompanies with periodic corrugation of the He surface; dimples. The dynamics of the crystal is coupled with the motion and the deformation of the dimples. Nonlinear phenomena found in AC Corbino…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoshiyuki Shibayama , Masaya Yamazaki , Hanako Isshiki , Keiya Shirahama

By path integral Monte Carlo simulations we study the phase diagram of two - dimensional mesoscopic clusters formed by electrons in a semiconductor quantum dot or by indirect magnetoexcitons in double quantum dots. At zero (or sufficiently…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , Yu. E. Lozovik

We analyze the quantum melting of two-dimensional Wigner molecules (WM) in confined geometries with distinct symmetries and compare it with corresponding thermal melting. Our findings unfold complementary mechanisms that drive the quantum…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Dyuti Bhattacharya , A. V. Filinov , Amit Ghosal , M. Bonitz

The pair correlation functions for a bilayer system of classical electrons has been calculated through a two-component HNC formalism. The results show changes in the structure of the correlation functions as the interlayer distance is…

Condensed Matter · Physics 2009-09-25 V. I. Valtchinov , G. Kalman , K. Blagoev

Liquid crystals are phases of matter intermediate between crystals and liquids. Whereas classical liquid crystals have been known for a long time and are used in electro-optical displays, much less is known about their quantum counterparts.…

Quantum Gases · Physics 2016-01-12 Zhigang Wu , Jens K. Block , Georg M. Bruun

We study the structural properties of a quasi-one-dimensional classical Wigner crystal, confined in the transverse direction by a parabolic potential. With increasing density, the one-dimensional crystal first splits into a zigzag crystal…

Mesoscale and Nanoscale Physics · Physics 2011-07-26 Alexios D. Klironomos , Julia S. Meyer

We studied a vertical ``quantum dot molecule'', where one of the dots is occupied with electrons and the other with holes. We find that different phases occur in the ground state, depending on the carrier density and the interdot distance.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen , M. Koskinen , M. Manninen , S. M. Reimann

In this report, we study ultra-high-mobility two-dimensional (2D) electron/hole systems with high precision capacitance measurement. We find that the capacitance charge appears only at the fringe of the gate at high magnetic field when the…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Lili Zhao , Wenlu Lin , Y. J. Chung , K. W. Baldwin , L. N. Pfeiffer , Yang Liu

We investigate the finite-temperature phase diagram of polar molecules confined in a quasi-two-dimensional geometry by a harmonic potential along the polarization axis. We employ Quantum Monte Carlo simulations to explore the strongly…

Quantum Gases · Physics 2026-05-19 Vinicius Zampronio , Matteo Ciardi , Fabio Cinti

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 consider the crystallization of a two-dimensional electron system in a perpendicular magnetic field using composite boson theory. There are three possible states to consider: the Hall liquid, the Wigner crystal, and the Hall crystal (a…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Julian May-Mann , Sayak Bhattacharjee , Srinivas Raghu

A new bosonic, excitonic method for interacting electrons is developed. For two-dimensional electron liquid, it reveals a noncompensated quantum crystal phase ranging from the high density, or vanishing Coulomb interaction, limit: $r_s=0$,…

Materials Science · Physics 2007-05-23 A. Kashuba

We report diffusion quantum Monte Carlo calculations of three-dimensional Wigner crystals in the density range r_s=100-150. We have tested different types of orbital for use in the approximate wave functions but none improve upon the simple…

Strongly Correlated Electrons · Physics 2008-01-03 N. D. Drummond , Z. Radnai , J. R. Trail , M. D. Towler , R. J. Needs

When the motion of electrons is restricted to a plane under a perpendicular magnetic field B, a variety of quantum phases emerge at low temperatures whose properties are dictated by the Coulomb interaction and its interplay with disorder.…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 L. Tiemann , T. D. Rhone , N. Shibata , K. Muraki

The process of homogeneous crystal nucleation has been considered in a model liquid, where the interparticle interaction is described by a short-range spherical oscillatory potential. Mechanisms of initiating structural ordering in the…

Materials Science · Physics 2018-12-18 Bulat N. Galimzyanov , Dinar T. Yarullin , Anatolii V. Mokshin

A planar array of identical charges at vanishing temperature forms a Wigner crystal with hexagonal symmetry. We take off one (reference) charge in a perpendicular direction, hold it fixed, and search for the ground state of the whole…

Soft Condensed Matter · Physics 2015-06-18 Moritz Antlanger , Martial Mazars , Ladislav Šamaj , Gerhard Kahl , Emmanuel Trizac

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