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Intense electrostatic fields, such as those able to break bonds and cause field-ion emission, can fundamentally alter the behaviour of atoms at and on the surface. Using density functional theory (DFT) calculations on the Li (110) surface…

This review presents a concise, yet comprehensive discussion on the evolution of theoretical methods employed to determine the ground and excited states of molecules in weak and strong magnetic fields. The weak-field cases have been studied…

原子与分子团簇 · 物理学 2021-05-31 Mihir Date , R. W. A Havenith

We construct a density functional theory for two-dimension electron (hole) gases subjected to both strong magnetic fields and external potentials. In particular, we are focused on regimes near even-denominator filling factors, in which the…

强关联电子 · 物理学 2019-03-11 Yinhan Zhang , Junren Shi

We demonstrate the formation of composite fermions in two-dimensional quantum dots under high magnetic fields. The composite fermion interpretation provides a simple way to understand several qualitative and quantitative features of the…

凝聚态物理 · 物理学 2009-10-22 J. K. Jain , T. Kawamura

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…

强关联电子 · 物理学 2009-11-07 E. Rasanen , H. Saarikoski , M. J. Puska , R. M. Nieminen

Density functional theory (DFT) offers a desirable balance between quantitative accuracy and computational efficiency in practical many-electron calculations. Its central component, the exchange-correlation energy functional, has been…

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…

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

The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual basis for a full characterization of an electronic system in its ground state by just the one-body particle density. Part I of this review…

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

Exchange interactions are a manifestation of the quantum mechanical nature of the electrons and play a key role in predicting the properties of materials from first principles. In density functional theory (DFT), a widely used approximation…

材料科学 · 物理学 2020-03-27 Marco Bernardi

The ground state with vorticity larger than one in mesoscopic superconductors in applied magnetic field may manifest as a `giant'-vortex, where all vortices coalesce into a single singularity of the order parameter. Such a multi-quanta…

超导电性 · 物理学 2011-07-04 Ben Xu , M. V. Milošević , Shi-Hsin Lin , F. M. Peeters , B. Jankó

Using Ginzburg-Landau theory, we find novel configurations of vortices in superconducting thin films subject to the magnetic field of a magnetic dot array, with dipole moments oriented perpendicular to the film. Sufficiently strong magnets…

超导电性 · 物理学 2009-11-10 D. J. Priour , H. A. Fertig

The accurate description of open-shell molecules, in particular of transition metal complexes and clusters, is still an important challenge for quantum chemistry. While density-functional theory (DFT) is widely applied in this area, the…

化学物理 · 物理学 2012-10-26 Christoph R. Jacob , Markus Reiher

This paper concerns the asymptotic ground state properties of heavy atoms in strong, homogeneous magnetic fields. In the limit when the nuclear charge Z tends to infinity with the magnetic field B satisfying B >> Z^{4/3} all the electrons…

数学物理 · 物理学 2009-10-31 Christian Hainzl , Robert Seiringer

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 consider a system of particles interacting via a purely repulsive, soft-core potential recently introduced to model effective pair interactions between dendrimers, which is expected to lead to the formation of crystals with multiple…

软凝聚态物质 · 物理学 2015-05-11 Davide Pini

Density fitting is used throughout quantum chemistry to simplify the electron-electron interaction energy (EE). A fundamental property of quantum chemistry, and DFT in particular, is that a variational principle connects the EE to a…

材料科学 · 物理学 2016-06-08 Brett I Dunlap , Mark C Palenik

The existence of nonlinear objects of the vortex type in two-dimensional magnetic systems presents itself as one of the most promising candidates for the construction of nanodevices, useful for storing data, and for the construction of…

统计力学 · 物理学 2010-10-22 J. C. S. Rocha , P. Z. Coura , S. A. Leonel , R. A. Dias , B. V. Costa

Using density functional theory, we investigate fluctuations of the ground state energy of spin-polarized, disordered quantum dots in the metallic regime. To compare to experiment, we evaluate the distribution of addition energies and find…

介观与纳米尺度物理 · 物理学 2009-10-31 K. Hirose , F. Zhou , N. Wingreen

The description of interacting many-electron systems in external magnetic fields is considered in the framework of the optimized effective potential method extended to current-spin-density functional theory. As a case study, a…

材料科学 · 物理学 2011-01-14 N. Helbig , S. Kurth , S. Pittalis , E. Räsänen , E. K. U. Gross