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Related papers: Vortex Clusters in Quantum Dots

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Magnetic properties of two and three-dimensional clusters of quantum dots are studied with exact diagonalization of a generalized Hubbard model. We study the weak coupling limit, where the electrons interact only within a quantum dot and…

Strongly Correlated Electrons · Physics 2009-11-13 J. -P. Nikkarila , M. Koskinen , M. Manninen

A novel approach to electronic correlations and magnetism of crystals based on realistic electronic structure calculations is reviewed. In its simplest form it is a combination of the ``local density approximation'' (LDA) and the dynamical…

Strongly Correlated Electrons · Physics 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson , G. Kotliar

We study a two-dimensional cylindrically-symmetric electron droplet separated from a surrounding electron ring by a tunable barrier using the exact diagonalization method. The magnetic field is assumed strong so that the electrons become…

Mesoscale and Nanoscale Physics · Physics 2009-08-12 E. Tölö , A. Harju

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

We consider a binary bosonic condensate with weak mean-field (MF) residual repulsion, loaded in an array of nearly one-dimensional traps coupled by transverse hopping. With the MF force balanced by the effectively one-dimensional…

Pattern Formation and Solitons · Physics 2019-10-01 Xiliang Zhang , Xiaoxi Xu , Yiyin Zheng , Zhaopin Chen , Bin Liu , Chunqing Huang , Boris A. Malomed , Yongyao Li

We employ the density functional Kohn-Sham method in the local spin-density approximation to study the electronic structure and magnetism of quasi one-dimensional periodic arrays of few-electron quantum dots. At small values of the lattice…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 K. Karkkainen , M. Koskinen , S. M. Reimann , M. Manninen

In a quantum-mechanical system, particle-hole duality implies that instead of studying particles, we can get equivalent information by studying the missing particles, the so-called holes. Using this duality picture for rotating fermion…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Manninen , S. M. Reimann , M. Koskinen , Y. Yu , M. Toreblad

A two-dimensional array of quantum dots in a magnetic field is considered. The electrons in the quantum dots are described as unitary random matrix ensembles. The strength of the magnetic field is such that there is half a flux quantum per…

Condensed Matter · Physics 2009-10-28 K. Ziegler

We use a variational Monte Carlo algorithm to solve the electronic structure of two-dimensional semiconductor quantum dots in external magnetic field. We present accurate many-body wave functions for the system in various magnetic field…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ari Harju

A tool for the identification of the shape of quantum dots is developed. By preparing a two-electron quantum dot, the response of the low-lying excited states to a homogeneous magnetic field, i.e. their spin and parity oscillations, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. S. Drouvelis , P. Schmelcher , F. K. Diakonos

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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Lucjan Jacak , Jurij Krasnyj , Dorota Jacak , Arkadiusz Wojs

We investigated the entanglement in a diluted magnetic semiconductor quantum dot, crucial for quantum technologies. Despite their potential, these systems exhibit low extraction rates. We explore self-assembled InGaAs quantum dots, focusing…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Manish Kumar Mehta , Joseph Thomas Andrews , Pratima Sen

We study a two-electron quantum dot molecule in a magnetic field by the direct diagonalization of the Hamiltonian matrix. The ground states of the molecule with the total spin S=0 and S=1 provide a possible realization for a qubit of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Harju , S. Siljamäki , R. M. Nieminen

We have measured electron transport through a vertical quantum dot containing a tunable number of electrons between 0 and 40. Over some region in magnetic field the electrons are spin polarized and occupy successive angular momentum states,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. H. Oosterkamp , J. W. Janssen , L. P. Kouwenhoven , D. G. Austing , T. Honda , S. Tarucha

In this article we discuss the ground state of a parabolically confined quantum dots in the limit of very strong magnetic fields where the electron system is completely spin-polarized and all electrons are in the lowest Landau level.…

Condensed Matter · Physics 2015-06-25 A. H. MacDonald , S. -R. Eric Yang , M. D. Johnson

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…

Mesoscale and Nanoscale Physics · Physics 2016-08-05 C. A. Downing , M. E. Portnoi

We develop a renormalization method for calculating the electronic structure of single and double quantum dots under intense ac fields. The nanostructures are emulated by lattice models with a clear continuum limit of the effective-mass and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. A. Schulz , P. H. Rivera , Nelson Studart

We present a detailed analysis of the broken-symmetry mean-field solutions using a four-electron rectangular quantum dot as a model system. Comparisons of the density-functional theory predictions with the exact ones show that the symmetry…

Condensed Matter · Physics 2009-11-10 A. Harju , E. Rasanen , H. Saarikoski , M. J. Puska , R. M. Nieminen , K. Niemela

This short review presents a few case studies of finite electron systems for which strong correlations play a dominant role. In simple metal clusters, the valence electrons determine stability and shape of the clusters. The ionic skeleton…

Strongly Correlated Electrons · Physics 2015-05-13 M. Manninen , S. M. Reimann

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…

Materials Science · Physics 2011-01-14 N. Helbig , S. Kurth , S. Pittalis , E. Räsänen , E. K. U. Gross