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Probabilities to find a chosen number of electrons in flexible domains of space are calculated for highly correlated wave functions. Quantum mechanics can produce higher probabilities for chemically relevant arrangements of electrons in…

Chemical Physics · Physics 2022-06-29 Anthony Scemama , Andreas Savin

We investigate the properties of many-electron systems in two-dimensional polygonal (triangle, square, pentagon, hexagon) potential wells by using the density functional theory. The development of the ground state electronic structure as a…

Strongly Correlated Electrons · Physics 2009-11-07 E. Rasanen , H. Saarikoski , M. J. Puska , R. M. Nieminen

The main obstacle to coherent control of two-level quantum systems is their coupling to an uncontrolled environment. For electron spins in III-V quantum dots, the random environment is mostly given by the nuclear spins in the quantum dot…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 I. T. Vink , K. C. Nowack , F. H. L. Koppens , J. Danon , Yu. V. Nazarov , L. M. K. Vandersypen

It is assumed that in a two-dimensional electron system with strong correlation (a Wigner liquid), appearance of some relatively slow-moving objects (clusters) composed of small number of electrons is possible. Such clusters may exist in…

Strongly Correlated Electrons · Physics 2007-05-23 E. G. Batyev

Within local-spin-density functional theory, we have investigated the `dissociation' of few-electron circular vertical semiconductor double quantum ring artificial molecules at zero magnetic field as a function of inter-ring distance. In a…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Francesc Malet , Manuel Barranco , Enrico Lipparini , Ricardo Mayol Martí Pi , Juan Ignacio Climente , Josep Planelles

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

The intrinsic geometric degree of freedom that was proposed to determine the optimal correlation energy of the fractional quantum Hall states, is analyzed for quantum confined planar electron systems. One major advantage in this case is…

Mesoscale and Nanoscale Physics · Physics 2014-03-27 Areg Ghazaryan , Tapash Chakraborty

We investigate the effects of inhomogeneities on spin entanglement in many-electron systems from an ab-initio approach. The key quantity in our approach is the local spin entanglement length, which is derived from the local concurrence of…

Quantum Physics · Physics 2015-03-27 S. Pittalis , F. Troiani , C. A. Rozzi , G. Vignale

We consider an electron system under conditions of strong Anderson localization, taking into account interelectron long-range Coulomb repulsion. We have established that with the electron density going to zero the Coulomb interaction brings…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. A. Slutskin , M. Pepper , H. A. Kovtun

Photoemission and tunneling spectroscopies measure the energies at which single electrons can be added to or removed from an electronic system. Features observed in such spectra have revealed electrons coupling to vibrational modes of ions…

Strongly Correlated Electrons · Physics 2017-05-09 Joonho Jang , Benjamin Hunt , Loren N. Pfeiffer , Kenneth W. West , Raymond C. Ashoori

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

We investigate the ground-state properties of a collection of \textit{N} non-interacting electrons in a macroscopic volume $\Omega$ also containing a crystalline array of \textit{N} spheres of radius $r_c$ each taken as largely impenetrable…

Other Condensed Matter · Physics 2009-11-13 Bruno Rousseau , N. W. Ashcroft

The exponentially strong damping of the conventional Friedel oscillations at elevated temperature T as well as due to disorder poses a severe problem to the Hume-Rothery (HR) stabilization mechanism of amorphous and quasicrystalline alloys.…

Strongly Correlated Electrons · Physics 2008-02-03 Johann Kroha

Using the method of breaking of circular symmetry and of subsequent symmetry restoration via projection techiques, we present calculations for the ground-state energies and excitation spectra of N-electron parabolic quantum dots in strong…

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

We consider the the effect of the electron cloud about a vorton in the CFL-$K^0$ high-density phase by numerically solving the ultrarelativistic Thomas-Fermi equation about a toroidal charge. Including electrons removes the electric…

Nuclear Theory · Physics 2012-06-08 Paulo F. Bedaque , Evan Berkowitz , Geoffrey Ji , Nathan Ng

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

We show here the existence of the indirect coupling of electron and magnetic or nuclear ion spins in self-assembled quantum dots mediated by electron-electron interactions. With a single localized spin placed in the center of the dot, only…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 Udson C. Mendes , Marek Korkusinski , Pawel Hawrylak

Water clusters are known to form through hydrogen bonding. However, this study shows that the formation of very small water clusters significantly deviates from this mechanism and instead involves both hydrogen bonding and electron…

Atomic and Molecular Clusters · Physics 2013-12-17 Bo Wang , Minsi Xin , Xing Dai , Ruixia Song , Yan Meng , Zhigang Wang , Ruiqin Zhang

We consider circular and elliptic quantum dots with parabolic external confinement, containing 0 - 22 electrons and with values of r_s in the range 0 < r_s < 3. We perform restricted and unrestricted Hartree-Fock calculations, and further…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Clare Sloggett , Oleg Sushkov

A detailed simple model is applied to study a metallic cluster. It is assumed that the ions and delocalized electrons are distributed randomly throughout the cluster. The delocalized electrons are assumed to be degenerate. A spherical ball…

Materials Science · Physics 2011-03-01 Yuri Kornyushin