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According to the Hohenberg-Kohn theorem of density-functional theory (DFT), all observable quantities of systems of interacting electrons can be expressed as functionals of the ground-state density. This includes, in principle, the spin…

强关联电子 · 物理学 2019-09-04 Carsten A. Ullrich

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. The Kohn-Sham equations are solved numerically for different values of electron densities and filling factors. The critical…

介观与纳米尺度物理 · 物理学 2023-06-16 A. A. Vasilchenko

Electrons in zero external magnetic field can be studied with density functional theory (DFT) or with spin-DFT (SDFT). The latter is normally used for open shell systems because its approximations appear to model better the exchange and…

化学物理 · 物理学 2022-04-06 Timothy Callow , Benjamin Pearce , Nikitas Gidopoulos

The electronic states of a parabolic quantum dot in a magnetic field are studied with the inclusion of the spin-orbit interaction. The analitycal formulae for the ground state energy of the interacting system are derived. The spin-orbit…

凝聚态物理 · 物理学 2009-10-28 L. Jacak , J. Krasnyj , A. Wojs

We calculate, via spin density functional theory (SDFT) and exact diagonalization, the eigenstates for electrons in a variety of external potentials, including double and triple dots. The SDFT calculations employ realistic wafer profiles…

介观与纳米尺度物理 · 物理学 2009-11-11 M. Stopa , A. Vidan , T. Hatano , S. Tarucha , R. M. Westervelt

We extend our ensemble density functional approach to quantum Hall systems to include non-collinear spins to study charge-spin textures in inhomogeneous quantum Hall systems. We have studied the edge reconstruction in quantum dots at unit…

介观与纳米尺度物理 · 物理学 2007-05-23 O. Heinonen , J. M. Kinaret , M. D. Johnson

We use Kohn-Sham spin-density-functional theory to study the statistics of ground-state spin and the spacing between conductance peaks in the Coulomb blockade regime for both 2D isolated and realistic quantum dots. We make a systematic…

介观与纳米尺度物理 · 物理学 2007-05-23 Hong Jiang , Denis Ullmo , Weitao Yang , Harold U. Baranger

The self consistent version of the density functional theory (DFT) is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems such as atoms, molecules and clusters. The exact functional…

凝聚态物理 · 物理学 2007-05-23 M. Ya. Amusia , V. R. Shaginyan

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. In a GaAs quantum wire, a critical density has been found, below which the electron density has a strong spatial inhomogeneity.…

介观与纳米尺度物理 · 物理学 2022-12-29 A. A. Vasilchenko

We investigate the spin of the ground state of a geometrically confined many-electron system. For atoms, shell structure simplifies this problem-- the spin is prescribed by the well-known Hund's rule. In contrast, quantum dots provide a…

介观与纳米尺度物理 · 物理学 2009-10-31 H. U. Baranger , D. Ullmo , L. I. Glazman

Energy spectra and spin configurations of a system of N=4 electrons in lateral double quantum dots (quantum dot Helium molecules) are investigated using exact diagonalization (EXD), as a function of interdot separation, applied magnetic…

介观与纳米尺度物理 · 物理学 2009-08-03 Ying Li , Constantine Yannouleas , Uzi Landman

We briefly report on calculated addition spectra for electrons in a circular quantum dot with perpendicular magnetic field. We compare our current density functional theory calculations with recent experiments by Tarucha et al. [PRL 77,…

介观与纳米尺度物理 · 物理学 2007-05-23 Oliver Steffens , Ulrich Roessler , Michael Suhrke

We present analysis of the interacting quantum wire problem in the presence of magnetic field and spin-orbit interaction. We show that an interesting interplay of Zeeman and spin-orbit terms, facilitated by the electron-electron…

强关联电子 · 物理学 2007-05-23 Jianmin Sun , Suhas Gangadharaiah , Oleg A. Starykh

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…

凝聚态物理 · 物理学 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

Density functional theory (DFT) provides a theoretical framework for efficient and fairly accurate calculations of the electronic structure of molecules and crystals. The main features of density functional theory are described and DFT…

化学物理 · 物理学 2012-06-12 Hauke Paulsen , Alfred Xaver Trautwein

The exact diagonalization technique is used to study many-particle properties of interacting electrons with spin, confined in a two-dimensional harmonic potential. The single-particle basis is limited to the lowest Landau level. The results…

介观与纳米尺度物理 · 物理学 2009-11-11 M. Koskinen , S. M. Reimann , J. -P. Nikkarila , M. Manninen

Multiple spin density waves and related vortex-type magnetic structures in the itinerant electron system with inversion symmetry have been investigated on the basis of the Hubbard model and the generalized Hartree-Fock approximation…

强关联电子 · 物理学 2020-02-19 Yoshiro Kakehashi

We have investigated the structure of double quantum dots vertically coupled at zero magnetic field within local spin-density functional theory. The dots are identical and have a finite width, and the whole system is axially symmetric. We…

凝聚态物理 · 物理学 2009-11-07 Marti Pi , Agusti Emperador , Manuel Barranco , Francesca Garcias

Several kinds of spin density wave (SDW) states with both quarter-filled band and dimerization are reexamined for a one-dimensional system with on-site, nearest-neighbor and next-nearest-neighbor repulsive interactions, which has been…

强关联电子 · 物理学 2009-10-31 Yuh Tomio , Yoshikazu Suzumura

We investigate the ground-state energy and spin of disordered quantum dots using spin-density-functional theory. Fluctuations of addition energies (Coulomb-blockade peak spacings) do not scale with average addition energy but remain…

介观与纳米尺度物理 · 物理学 2009-11-07 Kenji Hirose , Ned S. Wingreen