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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

The spin fluctuations of electron and hole doped self-assembled quantum dot ensembles are measured optically in the low-intensity limit of a probe laser in absence and presence of longitudinal or transverse static magnetic fields. The…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 P. Glasenapp , D. S. Smirnov , A. Greilich , J. Hackmann , M. M. Glazov , F. B. Anders , M. Bayer

We have investigated numerically the electron addition spectra in quantum dots containing a small number (N < 11) of interacting electrons, in presence of strong disorder. For a short-range Coulomb repulsion, we find regimes in which two…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. M. Canali

Strong correlation effects, which are often associated to the approach to a Mott insulating state, in some cases may be observed even far from half-filling. This typically happens whenever the inter-site Coulomb repulsion induces a tendency…

Strongly Correlated Electrons · Physics 2011-04-06 Adriano Amaricci , Alberto Camjayi , Darko Tanaskovic , Kristjan Haule , Vladimir Dobrosavljevic , Gabriel Kotliar

We consider electrons confined to a quantum dot interacting antiferromagnetically with a spin-$\half$ Kondo impurity. The electrons also interact among themselves ferromagnetically with a dimensionless coupling $\tilde{J}$, where…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Ganpathy Murthy

We present results on the effects of spin-orbit coupling on the electronic structure of few-electron interacting quantum dots. The ground-state properties as a function of the number of electrons in the dot $N$ are calculated by means of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Governale

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

The energy levels and optical transitions of tetrahedral core/shell InP/ZnSe quantum dots (QDs) are investigated by means of multi-band k$\cdot$p theory. Despite the $\overline{T}_d$ symmetry relaxing spherical selection rules, the…

Mesoscale and Nanoscale Physics · Physics 2026-04-06 Josep Planelles , Juan I. Climente

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

We consider a long quantum wire at low electron densities. In this strong interaction regime a Wigner crystal may form, in which electrons comprise an antiferromagnetic Heisenberg spin chain. The coupling constant J is exponentially small,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. D. Klironomos , R. R. Ramazashvili , K. A. Matveev

The Wigner-crystal phase of two-dimensional electrons interacting via the Coulomb repulsion and subject to a strong Rashba spin-orbit coupling is investigated. For low enough electronic densities the spin-orbit band splitting can be larger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 P. G. Silvestrov , O. Entin-Wohlman

Using Single Electron Capacitance Spectroscopy, we study electron additions in quantum dots containing two potential minima separated by a shallow barrier. Analysis of addition spectra in magnetic field allows us to distinguish whether…

Mesoscale and Nanoscale Physics · Physics 2010-03-12 M. Brodsky , N. B. Zhitenev , R. C. Ashoori , L. N. Pfeiffer , K. W. West

Wigner crystallization in mesoscopic quantum dots containing only few ($N < 50$) electrons exhibits a number of interesting peculiarities: (i) there exist two distinct crystal phases, and (ii) the phase boundary sensitively depends on the…

Mesoscale and Nanoscale Physics · Physics 2007-07-29 M. Bonitz , V. Golubnychiy , A. V. Filinov , Yu. E. Lozovik

Multi-electron semiconductor quantum dots have found wide application in qubits, where they enable readout and enhance polarizability. However, coherent control in such dots has typically been restricted to only the lowest two levels, and…

In this perspective, the various measures of electron correlation used in wavefunction theory, density functional theory and quantum information theory are briefly reviewed. We then focus on a more traditional metric based on dominant…

Chemical Physics · Physics 2023-04-07 Róbert Izsák , Aleksei V Ivanov , Nick S. Blunt , Nicole Holzmann , Frank Neese

We perform unrestricted Hartree-Fock (HF) calculations for electrons in a parabolic quantum dot at zero magnetic field. The crossover from Fermi liquid to Wigner molecule behavior is studied for up to eight electrons and various spin…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Boris Reusch , Wolfgang Häusler , Hermann Grabert

Treating Coulomb scattering of two free electrons in a stationary approach, we explore the momentum and spin entanglement created by the interaction. We show that a particular discretisation provides an estimate of the von Neumann entropy…

Quantum Physics · Physics 2018-12-14 Peter Schattschneider , Stefan Löffler , Herbert Gollisch , Roland Feder

We investigate the effects of electron correlations on the ground state energy and the chemical potential of a droplet confined by a parabolic potential at high magnetic fields. We demonstrate the importance of correlations in estimating…

Condensed Matter · Physics 2009-10-28 Kang-Hun Ahn , J. H. Oh , K. J. Chang

We use spin-density-functional theory to study the spacing between conductance peaks and the ground-state spin of 2D model quantum dots with up to 200 electrons. Distributions for different ranges of electron number are obtained in both…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hong Jiang , Harold U. Baranger , Weitao Yang

Complexity in strongly correlated electron systems is analyzed by considering decoherence process between the localized state, |L> and the itinerant state, |I>. The coherent superposition state of a|I> + b|L> decoheres to the pointer states…

Strongly Correlated Electrons · Physics 2011-01-04 Byung Gyu Chae