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In this work we show how constructing Wigner functions of heterogeneous quantum systems leads to new capability in the visualization of quantum states of atoms and molecules. This method allows us to display quantum correlations…

Quantum Physics · Physics 2019-10-09 B. I. Davies , R. P. Rundle , V. M. Dwyer , J. H. Samson , Todd Tilma , M. J. Everitt

Interacting fermions on a lattice can develop strong quantum correlations, which lie at the heart of the classical intractability of many exotic phases of matter. Seminal efforts are underway in the control of artificial quantum systems,…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 T. Hensgens , T. Fujita , L. Janssen , Xiao Li , C. J. Van Diepen , C. Reichl , W. Wegscheider , S. Das Sarma , L. M. K. Vandersypen

Topological electronic phases exist in a variety of naturally occurring materials but can also be created artificially. We used a cryogenic scanning tunneling microscope to create dimerized chains of identical quantum dots on a…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Van Dong Pham , Yi Pan , Steven C. Erwin , Felix von Oppen , Kiyoshi Kanisawa , Stefan Fölsch

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

The electronic properties of semiconductor, vertical, double quantum dot systems with few electrons are investigated by means of analytic, configuration-interaction, and mean-field methods. The combined effect of a high magnetic field,…

Condensed Matter · Physics 2009-10-22 Juan Jose Palacios , Pawel Hawrylak

We demonstrate that electrons in quantum dots defined by electrostatic gates in semiconductor nanotubes freeze orderly in space realizing a `Wigner molecule'. Our exact diagonalisation calculations uncover the features of the electron…

Mesoscale and Nanoscale Physics · Physics 2010-07-15 Andrea Secchi , Massimo Rontani

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

We study the formation of molecular states in a two-electron quantum dot as a function of the barrier potential dividing the dot. The increasing barrier potential drives the two electron system from an artificial helium atom to an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 W. Dybalski , P. Hawrylak

We discuss the properties of few electrons and electron-hole pairs confined in coupled semiconductor quantum dots, with emphasis on correlation effects and the role of tunneling. We shall discuss, in particular, exact diagonalization…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Guido Goldoni , Filippo Troiani , Massimo Rontani , Devis Bellucci , Elisa Molinari , Ulrich Hohenester

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

In this article, the interaction of an arbitrary number of quantum dots, behaving as artificial molecules, with different energy levels and multi-mode electromagnetic field is studied. We make the assumption that each quantum dot can be…

Quantum Physics · Physics 2015-09-30 Amir Hossein Sadeghi , Ali Naqavi , Sina Khorasani

Magnetic semiconductor quantum dots with a few carriers represent an interesting model system where ferromagnetic interactions can be tuned by voltage. By designing the geometry of a doped quantum dot, one can tailor the anisotropic quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander O. Govorov

We show that the addition spectra of semiconductor quantum dots in the presence of magnetic field can be studied through a theoretical scheme that allows an accurate and practical treatment of the single particle states and…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Massimo Rontani , Fausto Rossi , Franca Manghi , Elisa Molinari

This short review presents a few case studies of finite electron systems for which strong correlations play a dominant role. In simple metal clusters, the valence electrons determine stability and shape of the clusters. The ionic skeleton…

Strongly Correlated Electrons · Physics 2015-05-13 M. Manninen , S. M. Reimann

The correlations in the ground state of interacting electrons in a two-dimensional quantum dot in a high magnetic field are known to undergo a qualitative change from liquid-like to crystal-like as the total angular momentum becomes large.…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

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

Few-electron states in carbon-nanotube quantum dots are studied by means of the configuration-interaction method. The peculiar non-interacting feature of the tunneling spectrum for two electrons, recently measured by Kuemmeth et al. [Nature…

Mesoscale and Nanoscale Physics · Physics 2009-07-18 Andrea Secchi , Massimo Rontani

We theoretically investigate the Stark shift of the exciton goundstate in two vertically coupled quantum dots as a function of the interdot distance. The coupling is shown to enhance the tuneability of the linear optical properties,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. Troiani , E. Molinari

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…

The crystalline or liquid character of the downward cusp states in N-electron parabolic quantum dots (QD's) at high magnetic fields is investigated using conditional probability distributions obtained from exact diagonalization. These…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Constantine Yannouleas , Uzi Landman