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Strongly correlated systems containing d/f-electrons present a challenge to conventional density functional theory (DFT), such as the widely used local density approximation (LDA) or generalized gradient approximation (GGA). In this work,…

Strongly Correlated Electrons · Physics 2024-01-19 Bei-Lei Liu , Yue-Chao Wang , Yu Liu , Hai-Feng Liu , Hai-Feng Song

We study a system of electrons interacting through long--range Coulomb forces on a one--dimensional lattice, by means of a variational ansatz which is the strong--coupling counterpart of the Gutzwiller wave function. Our aim is to describe…

Strongly Correlated Electrons · Physics 2009-11-10 B. Valenzuela , S. Fratini , D. Baeriswyl

In a two-dimensional electron gas (2DEG) in a periodic lateral superlattice subjected to an external homogeneous magnetic field and in a cylindrical far-infrared photon cavity we search for effects of broken symmetries: Static ones,…

The magnetoresistivity tensor of an interacting two-dimensional electron system with a lateral and unidirectional electric or magnetic modulation, in a perpendicular quantizing magnetic field, is calculated within the Kubo formalism. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Andrei Manolescu , Rolf R. Gerhardts

The Hamiltonian of the spinless relativistic Coulomb problem combines the standard Coulomb interaction potential with the square-root operator of relativistic kinematics. This Hamiltonian is known to be bounded from below up to some…

High Energy Physics - Phenomenology · Physics 2009-10-28 Wolfgang Lucha , Franz F. Schöberl

We study the magnetic field induced singlet/triplet transition for two electrons in vertically coupled quantum dots by exact diagonalization of the Coulomb interaction. We identify the different mechanisms occurring in the transition,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Devis Bellucci , Massimo Rontani , Filippo Troiani , Guido Goldoni , Elisa Molinari

Charged systems interacting via Coulomb forces can be efficiently simulated by introducing a local, diffusing degree of freedom for the electric field. This paper formulates the continuum electrodynamic equations corresponding to the…

Statistical Mechanics · Physics 2009-11-07 A. C. Maggs

We have detected oscillations of the charge around a potential hill (antidot) in a two-dimensional electron gas as a function of a large magnetic field B. The field confines electrons around the antidot in closed orbits, the areas of which…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Kataoka , C. J. B. Ford , G. Faini , D. Mailly , M. Y. Simmons , D. R. Mace , C. -T. Liang , D. A. Ritchie

Structural properties of a finite number ($N = 2 - 20$) of point charges (classical electrons) confined laterally in a two-dimensional two-minima potential are calculated as a function of the distance ($d$) between the minima. The particles…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Marlo , M. Alatalo , A. Harju , R. M. Nieminen

The screened Coulomb interaction between a pair of infinite parallel planes with spatially varying surface charge is considered in the limit of small electrical potentials for arbitrary Debye lengths. A simple expression for the disjoining…

Classical Physics · Physics 2017-04-12 Sandip Ghosal , John D. Sherwood

In principle, the electronic Coulomb interaction among the correlated orbitals is frequency-dependent. Though it is generally believed that the dynamically screened interaction may play a crucial role in understanding the subtle electronic…

Strongly Correlated Electrons · Physics 2013-03-13 Li Huang , Yilin Wang

We consider the energy spectrum of emitted electrons in $\beta$-decay. Exact Coulomb Dirac wave functions describing the $\beta$-electron in the Coulomb field of the daughter nucleus are used. Further, the improved wave functions which…

Atomic Physics · Physics 2014-09-25 B. Najjari , X. Mougeot , M. -M. Bé , C. Bisch , P. -A. Hervieux , A. Nachab , A. -M. Nourreddine

We formulate a three-dimensional semi-classical model to address triple and double ionization in three-electron atoms driven by intense infrared laser pulses. During time propagation, our model fully accounts for the Coulomb singularities,…

Atomic Physics · Physics 2022-04-20 M. B. Peters , G. P. Katsoulis , A. Emmanouilidou

We outline a rigorous method which can be used to solve the many-body Schroedinger equation for a Coulomb interacting electronic system in an external classical magnetic field as well as a quantized electromagnetic field. Effects of the…

Mesoscale and Nanoscale Physics · Physics 2012-10-11 Olafur Jonasson , Chi-Shung Tang , Hsi-Sheng Goan , Andrei Manolescu , Vidar Gudmundsson

The scattering problem for two particles interacting via the Coulomb potential is examined for the case where the potential has a sharp cut-off at some distance. The problem is solved for two complimentary situations, firstly when the…

Nuclear Theory · Physics 2015-05-18 S L Yakovlev , M V Volkov , E Yarevsky , N Elander

By employing forces that depend on the internal electronic state (or spin) of an atomic ion, the Coulomb potential energy of a strongly coupled array of ions can be modified in a spin-dependent way to mimic effective quantum spin…

Quantum Physics · Physics 2015-06-15 John J. Bollinger , Joseph W. Britton , Brian C. Sawyer

We evaluate the effective interactions in a fluid of electrons moving in a plane, on the approach to the quantum phase transition from the paramagnetic to the fully spin-polarized phase that has been reported from Quantum Monte Carlo runs.…

Strongly Correlated Electrons · Physics 2009-11-07 B. Davoudi , M. Polini , G. Sica , M. P. Tosi

A practical experimental scheme for a quantum simulator of strongly correlated electrons is proposed. Our scheme employs electrons confined in a two dimensional electron gas in a GaAs/AlGaAs heterojunction. Two surface acoustic waves are…

Strongly Correlated Electrons · Physics 2009-11-11 Tim Byrnes , Patrik Recher , Na Young Kim , Shoko Utsunomiya , Yoshihisa Yamamoto

We study entanglement of charge qubits in a vertical tunnel-coupled double quantum dot containing two interacting electrons. Exact diagonalization is used to compute the negativity characterizing entanglement. We find that entanglement can…

Other Condensed Matter · Physics 2007-05-23 S. Weiss , M. Thorwart , R. Egger

We study a two dimensional system of electrons with Rashba coupling in the constant magnetic field $B$ and confining potential. We algebraically diagonalize the corresponding Hamiltonian to end up with the solutions of the energy spectrum.…

Mesoscale and Nanoscale Physics · Physics 2016-05-06 Mohammed El Bouziani , Rachid Houca , Ahmed Jellal