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We investigate the stability of few-electron quantum phases in vertically coupled quantum dots under a magnetic field of arbitrary strength and direction. The orbital and spin stability diagrams of realistic devices containing up to five…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Devis Bellucci , Massimo Rontani , Guido Goldoni , Elisa Molinari

We present excitation energy spectra of few-electron vertically coupled quantum dots for strong and intermediate inter-dot coupling. By applying a magnetic field, we induce ground state transitions and identify the corresponding quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Rontani , S. Amaha , K. Muraki , F. Manghi , E. Molinari , S. Tarucha , D. G. Austing

The many-body state of carriers confined in a quantum dot is controlled by the balance between their kinetic energy and their Coulomb correlation. In coupled quantum dots, both can be tuned by varying the inter-dot tunneling and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Massimo Rontani , Filippo Troiani , Ulrich Hohenester , Elisa Molinari

We perform quantum mechanically exact calculations of resonances in the spectrum of the hydrogen atom in crossed external fields and establish a close connection between the classical transition state in phase space and features in the…

Atomic Physics · Physics 2009-03-19 Holger Cartarius , Jörg Main , Günter Wunner

The ground state and the excitation spectrum of strongly correlated electrons in quantum dots are investigated. An analytical solution is constructed by exact diagonalization of the Hamiltonian in terms of the $N$-particle eigenmodes.

Strongly Correlated Electrons · Physics 2009-11-11 K. Balzer , C. Nölle , M. Bonitz , A. Filinov

Two interacting electrons in a harmonic oscillator potential under the influence of a perpendicular homogeneous magnetic field are considered. Analytic expressions are obtained for the energy spectrum of the two- and three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Dineykhan , R. G. Nazmitdinov

We study coupled semiconductor quantum dots theoretically through a generalized Hubbard approach, where intra- and inter-dot Coulomb Correlation, as well as tunneling effects are described on the basis of realistic electron wavefunctions.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Massimo Rontani , F. Rossi , F. Manghi , E. Molinari

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

The transition matrix elements between the correlated $N$ and $N\!+\!1$ electron states of a quantum dot are calculated by numerical diagonalization. They are the central ingredient for the linear and non--linear transport properties which…

Condensed Matter · Physics 2009-10-28 Kristian Jauregui , Wolfgang Häusler , Dietmar Weinmann , Bernhard Kramer

Observing quantum phase transitions in mesoscopic systems is a daunting task, thwarted by the difficulty of experimentally varying the magnetic interactions, the typical driving force behind these phase transitions. Here we demonstrate that…

Strongly Correlated Electrons · Physics 2020-01-23 Yaakov Kleeorin , Yigal Meir

We present a study of the electronic structure of two laterally coupled gaussian quantum dots filled with two particles. The exact diagonalization method has been used in order to inspect the spatial correlations and examine the particular…

Mesoscale and Nanoscale Physics · Physics 2008-01-29 Jaime Zaratiegui , Pekka Pietilainen , Hong-Yi Chen , Tapash Chakraborty

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

We study the crossover between liquid and solid electron phases in a two-dimensional harmonic trap as the density is progressively diluted. We infer the formation of geometrically ordered phases from charge distributions and pair…

Strongly Correlated Electrons · Physics 2007-05-23 Massimo Rontani , Carlo Cavazzoni , Guido Goldoni

We study quantum states of electrons in magnetically doped quantum dots as a function of exchange coupling between electron and impurity spins, the strength of Coulomb interaction, confining potential, and the number of electrons. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ramin M. Abolfath , Pawel Hawrylak , Igor Zutic

The exact numerical diagonalization of the Hamiltonian of a 2D circular quantum dot is performed for 2, 3, and 4 electrons.The results are compared with those of the perturbation theory.Our numerical results agree reasonably well for small…

Strongly Correlated Electrons · Physics 2009-10-31 N. Akman , M. Tomak

We present theoretical results concerning inelastic light (Raman) scattering from semiconductor quantum dots. The characteristics of each dot state (whether it is a collective or single-particle excitation, its multipolarity, and its spin)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alain Delgado , Augusto Gonzalez , David J. Lockwood

We identify a (pseudo) relativistic spin-dependent analogue of the celebrated quantum phase transition driven by the formation of a bright soliton in attractive one-dimensional bosonic gases. In this new scenario, due to the simultaneous…

Quantum Gases · Physics 2020-07-10 Maximilian Nitsch , Benjamin Geiger , Klaus Richter , Juan Diego Urbina

Analysis of quantum dot structures is a current topic with important applications in solid-state digital logic design, quantum information technology and quantum optics. In this work, we show a variational formulation for the solution of…

Quantum Physics · Physics 2007-05-23 George Andre Pereira The , Rubens Viana Ramos , Sergio Antenor de Carvalho

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

We report the fabrication and photoluminescence properties of laterally-coupled GaAs/AlGaAs quantum dots. The coupling in the quantum dot molecules is tuned by an external electric field. An intricate behavior, consisting of spectral line…

Materials Science · Physics 2011-11-09 L. Wang , A. Rastelli , S. Kirawittaya , M. Benyoucef , O. G. Schmidt
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