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The exchange coupling of the spins of two electrons in double well potentials in a semiconductor background is calculated within the Heitler-London (HL) approximation. Atomic and quantum dot types of confining potentials are considered, and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. J. Calderon , Belita Koiller , S. Das Sarma

We theoretically investigate the properties of a two-electron system confined in the three-dimensional potential of coupled quantum dots formed in a quantum wire. For this purpose, we implement a variational Heitler-London method that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. -X. Zhang , D. V. Melnikov , S. Agarwal , J. -P. Leburton

Exchange interaction has been studied for electrons in coupled quantum dots (QD's) by a configuration interaction method using confinement potentials with different profiles. The confinement potential has been parametrized by a two-centre…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. Kwasniowski , J. Adamowski

We calculate the exchange coupling for a double dot system using a novel, numerically exact yet efficient technique, based on finite-element methods. Specifically, we evaluate the exchange coupling both for a quasi-one and a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2007-10-03 Jesper Pedersen , Christian Flindt , Niels Asger Mortensen , Antti-Pekka Jauho

Coupled elliptic quantum dots with different aspect ratios containing up to two electrons are studied using a model confinement potential in the presence of magnetic fields. Single and two particle Schroedinger equations are solved using…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. -X. Zhang , D. V. Melnikov , J. -P. Leburton

We study exchange coupling in Si double quantum dots, which have been proposed as suitable candidates for spin qubits due to their long spin coherence times. We discuss in detail two alternative schemes which have been proposed for…

Mesoscale and Nanoscale Physics · Physics 2010-02-12 Qiuzi Li , Lukasz Cywinski , Dimitrie Culcer , Xuedong Hu , S. Das Sarma

We calculate the exchange coupling J between electrons in a double-well potential in a two-dimensional semiconductor environment within the Heitler-London (HL) approach. Two functional forms are considered for the double-well potential. We…

Other Condensed Matter · Physics 2008-01-16 A. L. Saraiva , M. J. Calderon , Belita Koiller

We calculate the exchange energy in two dimensional laterally coupled quantum dots using Heitler-London, Hund-Mullikan and variational methods. We assess the quality of these approximations in zero and finite magnetic fields comparing…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 Jorge Cayao

Orbital modeling of two electron spins confined in a double quantum dot is revisited. We develop an extended Hund Mulliken approach that includes excited orbitals, allowing for a triplet configuration with both electrons residing in a…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Zack White , Guy Ramon

We study the properties of a few-electron system confined in coupled elongated quantum dots (QDs) using a model Gaussian potential and the numerical exact diagonalization technique. In the absence of magnetic fields, as the aspect ratio $r$…

Mesoscale and Nanoscale Physics · Physics 2008-08-26 L. -X. Zhang , D. V. Melnikov , J. -P. Leburton

We calculate the effect of an inhomogeneous magnetic field, which is invariably present in an experimental environment, on the exchange energy of a double quantum dot artificial molecule, projected to be used as a 2-qubit quantum gate in…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Rogerio de Sousa , Xuedong Hu , S. Das Sarma

We consider a new quantum gate mechanism based on electron spins in coupled semiconductor quantum dots. Such gates provide a general source of spin entanglement and can be used for quantum computers. We determine the exchange coupling J in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Guido Burkard , Daniel Loss , David P. DiVincenzo

The charge stability diagram for two coupled quantum dots containing up to two electrons is computed in magnetic fields. One- and two-particle Schroedinger equations are solved by exact diagonalization to obtain the chemical potentials and…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. -X. Zhang , D. V. Melnikov , J. -P. Leburton

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

By reverse-engineering from exact solutions we obtain Hartree-exchange-correlation (Hxc) potentials for a double quantum dot subject to generic density-density interactions and Hund's rule coupling. We find ubiquitous step structures of the…

Mesoscale and Nanoscale Physics · Physics 2020-08-10 Nahual Sobrino , Stefan Kurth , David Jacob

Several prominent proposals have suggested that spins of localized electrons could serve as quantum computer qubits. The exchange interaction has been invoked as a means of implementing two qubit gates. In this paper, we analyze the…

Strongly Correlated Electrons · Physics 2016-08-31 Ari Mizel , Daniel A. Lidar

We determine the spin exchange coupling J between two electrons located in two vertically tunnel-coupled quantum dots, and its variation when magnetic (B) and electric (E) fields (both in-plane and perpendicular) are applied. We predict a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Guido Burkard , Georg Seelig , Daniel Loss

We study the system consisted of two electrons in a quantum dot with a three-dimensional harmonic confinement potential under the effect of a magnetic field. Specifically, two different confinement conditions are considered, one isotropic…

Strongly Correlated Electrons · Physics 2020-08-26 A. M. Maniero , C. R. de Carvalho , F. V. Prudente , Ginette Jalbert

Quantum gates between spin qubits can be implemented leveraging the natural Heisenberg exchange interaction between two electrons in contact with each other. This interaction is controllable by electrically tailoring the overlap between…

In spin qubit arrays the exchange coupling can be harnessed to implement two-qubit gates and to realize intermediate-range qubit connectivity along a spin bus. In this work, we propose a scheme to characterize the exchange coupling between…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Florian Ginzel , Guido Burkard
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