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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…

Quantum-mechanically correlated (entangled) states of many particles are of interest in quantum information, quantum computing and quantum metrology. Metrologically useful entangled states of large atomic ensembles have been experimentally…

Atomic Physics · Physics 2015-08-14 Robert McConnell , Hao Zhang , Jiazhong Hu , Senka Cuk , Vladan Vuletic

We investigate the dynamics of interacting electrons confined to two types of quantum dot system, when driven by an external AC field. We first consider a system of two electrons confined to a pair of coupled quantum dots by using an…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 C. E. Creffield , G. Platero

In one-channel, finite-size Luttinger one-dimensional quantum dots, both Friedel oscillations and Wigner correlations induce oscillations in the electron density with the same wavelength, pinned at the same position. Therefore, observing…

Strongly Correlated Electrons · Physics 2015-06-24 F. M. Gambetta , N. Traverso Ziani , F. Cavaliere , M. Sassetti

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

In this paper we present new versatile "2D macroscopic Wigner islands" useful to investigate the various behaviors observed in mesoscopic confined systems. Our "Wigner islands" consist of electrostatically-interacting charged balls with…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Saint Jean , C. Even , C. Guthmann

The spatial Fourier spectrum of the electron density distribution in a finite 1D system and the distribution function of electrons over single-particle states are studied in detail to show that there are two universal features in their…

Strongly Correlated Electrons · Physics 2019-08-09 Yasha Gindikin , Vladimir A. Sablikov

In a dilute two-dimensional electron gas, Coulomb interactions can stabilize the formation of a Wigner crystal. Although Wigner crystals are topologically trivial, it has been predicted that electrons in a partially-filled band can break…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Ruiheng Su , Dacen Waters , Boran Zhou , Kenji Watanabe , Takashi Taniguchi , Ya-Hui Zhang , Matthew Yankowitz , Joshua Folk

Wigner crystals (WC) are electronic phases peculiar to low-density systems, particularly in the uniform electron gas. Since its introduction in the early twentieth century, this model has remained essential to many aspects of electronic…

Mesoscale and Nanoscale Physics · Physics 2017-05-01 Fergus J. M. Rogers , Pierre-François Loos

Wigner crystals are typically confined to ultralow temperatures where thermal motion is frozen out. Moir\'e superlattices in twisted two-dimensional materials have extended their stability to higher temperatures and densities, but rely on…

State-dependent conformational changes play a central role in molecular dynamics, yet they are often difficult to observe or simulate due to their complexity and ultrafast nature. One alternative approach is to emulate such phenomena using…

We review recent transport experiments that reveal two-threshold voltage-current characteristics, marked by a significant increase in noise between the two threshold voltages, at low electron densities in the insulating regime in…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 Alexander A. Shashkin , Sergey V. Kravchenko

One can confine the two-dimensional electron gas in semiconductor heterostructures electrostatically or by etching techniques such that a small electron island is formed. These man-made ``artificial atoms'' provide the experimental…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Koskinen , M. Manninen , B. Mottelson , S. M. Reimann

Motivated by recent developments on the fabrication and control of semiconductor-based quantum dot qubits, we theoretically study a finite system of tunnel-coupled quantum dots with the electrons interacting through the long-range Coulomb…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 DinhDuy Vu , Sankar Das Sarma

Using the exactly solvable excitation spectrum of two-electron quantum dots with parabolic potential, we show that the inclusion of the vertical extension of the quantum dot provides a consistent description of the experimental findings of…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 R. G. Nazmitdinov , N. S. Simonovic

When the kinetic energy of a collection of interacting two-dimensional (2D) electrons is quenched at very high magnetic fields so that the Coulomb repulsion dominates, the electrons are expected to condense into an ordered array, forming a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

Coupled semiconductor quantum dots form artificial molecules where relevant energy scales controlling the interacting ground state can be easily tuned. By applying an external magnetic field it is possible to drive the system from a weak to…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 Massimo Rontani , Guido Goldoni , Elisa Molinari

In Bernal bilayer graphene (BBG), a perpendicular displacement field flattens the bottom of the conduction band and thereby facilitates the formation of strongly-correlated electron states at low electron density. Here, we focus on the…

Strongly Correlated Electrons · Physics 2023-10-13 Sandeep Joy , Brian Skinner

The quantum crystal of electrons, predicted more than eighty years ago by Eugene Wigner, is still one of the most elusive states of matter. Here, we present experiments that observe the one-dimensional Wigner crystal directly, by imaging…

Mesoscale and Nanoscale Physics · Physics 2019-06-18 Ilanit Shapir , Assaf Hamo , Sharon Pecker , Catalin Pascu Moca , Örs Legeza , Gergely Zarand , Shahal Ilani

The Wigner crystal, an ordered array of electrons, is one of the very first proposed many-body phases stabilized by the electron-electron interaction. This electron solid phase has been reported in ultra-clean two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Lili Zhao , Wenlu Lin , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren N. Pfeiffer , Yang Liu
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