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We compute the ground state energy of atoms and quantum dots with a large number N of electrons. Both systems are described by a non-relativistic Hamiltonian of electrons in a d-dimensional space. The electrons interact via the Coulomb…

量子物理 · 物理学 2015-05-14 Hervé Kunz , Rico Rueedi

We consider the motion of electrons confined to a two dimensional plane with an externally applied perpendicular inhomogeneous magnetic field, both with and without a Coulomb potential. We find that as long as the magnetic field is…

介观与纳米尺度物理 · 物理学 2016-08-05 C. A. Downing , M. E. Portnoi

The quantum mechanical ground state of a 2D $N$-electron system in a confining potential $V(x)=Kv(x)$ ($K$ is a coupling constant) and a homogeneous magnetic field $B$ is studied in the high density limit $N\to\infty$, $K\to \infty$ with…

凝聚态物理 · 物理学 2009-10-28 E. H. Lieb , J. P. Solovej , J. Yngvason

The electron motion in rather strong magnetic fields (when only the lowest Landau level is populated) is considered. In this case the electron kinetic energy is frozen out and the electrons are guided by slowly varied potential. Using the…

介观与纳米尺度物理 · 物理学 2007-05-23 A. Matulis

A model for quantum dots is proposed, in which the motion of a few electrons in a three-dimensional harmonic oscillator potential under the influence of a homogeneous magnetic field of arbitrary direction is studied. The spectrum and the…

介观与纳米尺度物理 · 物理学 2009-10-30 W. D. Heiss , R. G. Nazmitdinov

Energy spectra, electron densities, pair correlation functions and heat capacity of a quantum-dot lithium in zero external magnetic field (a system of three interacting two-dimensional electrons in a parabolic confinement potential) are…

强关联电子 · 物理学 2009-11-07 S. A. Mikhailov

We investigate two equivalent, capacitively coupled semiconducting quantum dots, each coupled to its own lead, in a regime where there are two electrons on the double dot. With increasing interdot coupling a rich range of behavior is…

强关联电子 · 物理学 2007-05-23 Martin R. Galpin , David E. Logan , H. R. Krishnamurthy

The magnetic character of the ground-state of two electrons on a double quantum dot, connected in series to left and right single-channel leads, is considered. By solving exactly for the spectrum of the two interacting electrons, it is…

介观与纳米尺度物理 · 物理学 2009-11-07 O. Entin-Wohlman , A. Aharony , Y. Levinson

We consider quantum dots with a parabolic confining potential. The qualitative features of such mesoscopic systems as functions of the total number of electrons N and their total angular momentum J, e.g. magic numbers, overall symmetries…

介观与纳米尺度物理 · 物理学 2007-05-23 Michael Flohr

We study a new system in which electrons in two dimensions are confined by a non homogeneous magnetic field. The system consists of a heterostructure with on top of it a superconducting disk. We show that in this system electrons can be…

介观与纳米尺度物理 · 物理学 2009-10-31 J. Reijniers , A. Matulis , F. M. Peeters

We determine the ground state energy of atoms and quantum dots whose number N of electrons is large. We show that the dominant terms of the energy are those given by a semiclassical Hartree-Fock theory. Correlation effects appear at the…

量子物理 · 物理学 2009-10-26 Hervé Kunz , Rico Rueedi

Quantum-state engineering, i.e., active manipulation over the coherent dynamics of suitable quantum-mechanical systems, has become a fascinating prospect of modern physics. Here we discuss the dynamics of two interacting electrons in a…

介观与纳米尺度物理 · 物理学 2009-11-07 Ping Zhang , Xian-Geng Zhao

Quantum Electrodynamics can be formulated as the theory of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as an additional source for the electromagnetic field. The topological charge…

高能物理 - 理论 · 物理学 2007-05-23 E. C. Marino

In an external constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length, we consider the modification of the Coulomb potential of a point charge owing to the vacuum polarization. We…

天体物理学 · 物理学 2008-11-26 A. E. Shabad , V. V. Usov

While the dynamics for three-dimensional axially symmetric two-electron quantum dots with parabolic confinement potentials is in general non-separable we have found an exact separability with three quantum numbers for specific values of the…

介观与纳米尺度物理 · 物理学 2009-11-07 R. G. Nazmitdinov , N. S. Simonovic , Jan M. Rost

The transport through a quantum wire exposed to two magnetic spikes in series is modeled. We demonstrate that quantum dots can be formed this way which couple to the leads via magnetic barriers. Conceptually, all quantum dot states are…

介观与纳米尺度物理 · 物理学 2015-05-28 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

The separability and Runge-Lenz-type dynamical symmetry of the internal dynamics of certain two-electron Quantum Dots, found by Simonovi\'c et al. [1], is traced back to that of the perturbed Kepler problem. A large class of axially…

高能物理 - 理论 · 物理学 2015-06-16 P. -M. Zhang , L. -P. Zou , P. A. Horvathy , G. W. Gibbons

The mechanical effects in finite two-dimensional electron systems (quantum dots or droplets) in a strong perpendicular magnetic field are studied. It is shown that, due to asymmetry of the cyclotron dynamics, an additional in-plane electric…

介观与纳米尺度物理 · 物理学 2007-05-23 Lucjan Jacak , Jurij Krasnyj , Dorota Jacak , Arkadiusz Wojs

Small changes in an external parameter can often lead to dramatic qualitative changes in the lowest energy quantum mechanical ground state of a correlated electron system. In anisotropic crystals, such as the high temperature…

强关联电子 · 物理学 2009-10-31 Subir Sachdev

We present experimental studies of the current pumped through a dynamic quantum dot over a wide range of magnetic fields. At low fields we observe repeatable structure indicating increased confinement of the electrons in the dynamic dot. At…

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