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We review recent theoretical developments about the role of spins, electron-electron interactions, and spin-orbit coupling in metal nanoparticles and semiconductor quantum dots. For a closed system, in the absence of spin-orbit coupling or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Oreg , P. W. Brouwer , X. Waintal , Bertrand I. Halperin

We study the nonlinear classical dynamics of an electron confined in a double dot potential and subjected to a spin-orbit coupling and a constant external magnetic field. It is shown that due to the spin orbit coupling, the energy can be…

Chaotic Dynamics · Physics 2015-06-03 L. Chotorlishvili , Z. Toklikishvili , A. Komnik , J. Berakdar

Coupled semiconductor quantum dots form artificial molecules where relevant energy scales controlling the interacting ground state can be easily tuned. By applying an external magnetic field it is possible to drive the system from a weak to…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 Massimo Rontani , Guido Goldoni , Elisa Molinari

We study electron transport through a semiconductor quantum ring with one input and two output terminals for an elastic scatterer present within one of the arms of the ring. We demonstrate that the scatterer not only introduces asymmetry in…

Mesoscale and Nanoscale Physics · Physics 2010-04-14 B. Szafran , M. R. Poniedzialek

We analyse theoretically the possibilities of contactless control of in-gap states formed by a pair of electrons confined in a triangular quantum ring. The in-gap states are corner-localized states associated with two electrons occupying…

Mesoscale and Nanoscale Physics · Physics 2017-04-21 Anna Sitek , Miguel Urbaneja Torres , Kristinn Torfason , Vidar Gudmundsson , Andrei Manolescu

We have investigated the local magneto-transport in high-quality 2D electron systems at low carrier densities. The positive magneto-resistance in perpendicular magnetic field in the strongly insulating regime has been measured to evaluate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Ghosh , M. Pepper , H. E. Beere , D. A. Ritchie

We apply time-dependent density-functional theory to study many-electron transport in Aharonov-Bohm interferometers in a non-equilibrium situation. The conductance properties in the system are complex and depend on the enclosed magnetic…

Strongly Correlated Electrons · Physics 2013-10-31 A. Salman , V. Kotimaki , A. Siddiki , E. Rasanen

We discuss the properties of few electrons and electron-hole pairs confined in coupled semiconductor quantum dots, with emphasis on correlation effects and the role of tunneling. We shall discuss, in particular, exact diagonalization…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Guido Goldoni , Filippo Troiani , Massimo Rontani , Devis Bellucci , Elisa Molinari , Ulrich Hohenester

The electric-field effect on the electronic and magnetic properties of triangular and hexagonal graphene quantum rings with zigzag edge termination is investigated by means of the single-band tight-binding Hamiltonian and the mean-field…

Mesoscale and Nanoscale Physics · Physics 2014-08-29 R. Farghadan , A. Saffarzadeh

We consider single-electron tunnelling through antidot states using a Coulomb-blockade model, and give an explanation for h/2e Aharonov-Bohm oscillations, which are observed experimentally when the two spins of the lowest Landau level form…

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

The crystalline or liquid character of the downward cusp states in N-electron parabolic quantum dots (QD's) at high magnetic fields is investigated using conditional probability distributions obtained from exact diagonalization. These…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Constantine Yannouleas , Uzi Landman

We Have developed the concept of a new kind of single-electron transistor in which the transport of the electron through a quantum wire is controlled by charged quantum rings. Using a 2D harmonic potential as the transverse constraint, we…

Mesoscale and Nanoscale Physics · Physics 2016-10-24 Ali Hosseinzadeh , Shahpoor Saeidian

Theoretical approaches to one-dimensional and quasi-one-dimensional quantum rings with a few electrons are reviewed. Discrete Hubbard-type models and continuum models are shown to give similar results governed by the special features of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Viefers , P. Koskinen , P. Singha Deo , M. Manninen

Electronic states and the Aharonov-Bohm effect in ZnO quantum dot-ring nanostructures containing few interacting electrons reveal several unique features. We have shown here that in contrast to the dot-rings made of conventional…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Tapash Chakraborty , Aram Manaselyan , Manuk Barseghyan

Laterally coupled quantum dot molecules are studied using exact diagonalization techniques. We examine the two-electron singlet-triplet energy difference as a function of magnetic field strength and investigate the magnetization and vortex…

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

Theoretical analysis of the experimental data for the energy levels of two interacting electrons confined by a finite Gaussian potential in a 2D quantum dot and subjected to a uniform magnetic field perpendicular to the plane of the dot is…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 S. Chaudhuri

We calculate that the electron states of strained self-assembled Ge/Si quantum dots provide a convenient two-state system for electrical control. An electronic state localized at the apex of the quantum dot is nearly degenerate with a state…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 C. E. Pryor , M. E. Flatté , J. Levy

We have developed new methods to calculate dispersion curves (analytically in the simpler cases) from which we are able to derive the spatial distribution of electron and current densities. We investigate the case where the magnetic field…

Condensed Matter · Physics 2009-10-28 E. Hofstetter , J. M. C. Taylor , A. MacKinnon

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Koskinen , S. M. Reimann , J. -P. Nikkarila , M. Manninen

In this work we investigate Wigner localization at very low densities by means of the exact diagonalization of the Hamiltonian. This yields numerically exact results. In particular, we study a quasi-one-dimensional system of two electrons…

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