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Electron transport experiments on two lateral quantum dots coupled in series are reviewed. An introduction to the charge stability diagram is given in terms of the electrochemical potentials of both dots. Resonant tunneling experiments show…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 W. G. van der Wiel , S. De Franceschi , J. M. Elzerman , T. Fujisawa , S. Tarucha , L. P. Kouwenhoven

We present a method which computes many-electron energies and eigenfunctions by a full configuration interaction which uses a basis of atomistic tight-binding wave functions. This approach captures electron correlation as well as atomistic…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Erik Nielsen , Rajib Rahman , Richard P. Muller

In the present work the possibility of simultaneous localization of two electrons in $\Delta^{100}$ and $\Delta^{001}$ valleys in ordered structures with Ge/Si(001) quantum dots (QD) was verified experimentally by the electron spin…

Mesoscale and Nanoscale Physics · Physics 2015-01-28 Aigul Zinovieva , Natalia Stepina , Anatoly Dvurechenskii , Leonid Kulik , Gregor Mussler , Juergen Moers , Detlev Gruetzmacher

We present evidence that operation of QCA (Quantum Cellular Automaton) cells with four dots is possible with an occupancy of 4N+2 electrons per cell (N being an integer). We show that interaction between cells can be described in terms of a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Girlanda , M. Governale , M. Macucci , G. Iannaccone

Using master equations we present an analytical solution of the time evolution of an entangled electron spin pair which can occupy 36 different quantum states in a double quantum dot nanostructure. This solution is exact given a few…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Blaauboer

We studied the dynamics of a pair of single-electron double quantum dots (DQD) under longitudinal and transverse static magnetic fields and time-dependent harmonic modulation of their interaction couplings. We propose to modulate the tunnel…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Alejandro D. Bendersky , Sergio S. Gomez , Rodolfo H. Romero

We develop a theoretical model for the description of electron dynamics in coupled quantum wires when the local magnetic moment is formed in one of the wires. We employ a single-particle Hamiltonian that takes account of the specific…

Strongly Correlated Electrons · Physics 2009-11-10 V. I. Puller , L. G. Mourokh , A. Shailos , J. P. Bird

The magnetization of quantum dots is discussed in terms of a relatively simple but exactly solvable model Hamiltonian. The model predicts oscillations in spin polarization as a function of dot radius for a fixed electron density. These…

Mesoscale and Nanoscale Physics · Physics 2007-10-11 A. Bansil , D. Nissenbaum , B. Barbiellini , R. Saniz

We have considered a system consisting of two coupled quantum dots containing two electrons, i.e., two quantum dots next to each other with one excess electron each, subjected to an uniform magnetic field perpendicular to the quantum dots…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 A. M. Maniero , F. V. Prudente , C. R. de Carvalho , Ginette Jalbert

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 have recently proposed a quantum control method based on the knowledge of the energy spectrum as a function of an external control parameter [Phys. Rev. Lett. {\bf 99}, 036806 (2007)]. So far, our method has been applied to connect the…

Mesoscale and Nanoscale Physics · Physics 2009-02-07 G. E. Murgida , D. A. Wisniacki , P. I. Tamborenea

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 show that two electrons confined in a square semiconductor quantum dot have two isolated low-lying energy eigenstates, which have the potential to form the basis of scalable computing elements (qubits). Initialisation, one-qubit and…

Quantum Physics · Physics 2009-11-07 J. H. Jefferson , M. Fearn , D. L. J. Tipton , T. P. Spiller

In this paper we present a quantization of Cellular Automata. Our formalism is based on a lattice of qudits, and an update rule consisting of local unitary operators that commute with their own lattice translations. One purpose of this…

Quantum Physics · Physics 2008-02-17 Carlos A. Perez-Delgado , Donny Cheung

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

The problem of two electrons in a two-dimensional random potential is addressed numerically. Specifically, the role of the Coulomb interaction between electrons on localization is investigated by writing the Hamiltonian on a localized basis…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jorge Talamantes , Michael Pollak

A serial triple quantum dot (TQD) electrostatically defined in a GaAs/AlGaAs heterostructure is characterized by using a nearby quantum point contact as charge detector. Ground state stability diagrams demonstrate control in the regime of…

Mesoscale and Nanoscale Physics · Physics 2007-09-03 D. Schröer , A. D. Greentree , L. Gaudreau , K. Eberl , L. C. L. Hollenberg , J. P. Kotthaus , S. Ludwig

We study theoretically the electron states in a system of two vertically stacked quantum dots. We investigate the influence of the geometrical symmetry breaking (caused by the displacement as well as the ellipticity of the dots) on the…

Mesoscale and Nanoscale Physics · Physics 2014-09-05 Krzysztof Gawarecki , Paweł Machnikowski , Tilmann Kuhn

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 introduce a diagrammatic quantum field formalism for the evaluation of normalized expectation values of operators, and suitable for systems with localized electrons. It is used to develop a convergent series expansion for the energy in…

Other Condensed Matter · Physics 2009-11-13 S. A. Bonev , N. W. Ashcroft