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We report simple expressions for the exchange coupling in double quantum dots calculated within the Heitler-London and the Hund-Mulliken approximations using four different confining potentials. At large interdot distances and at large…

Mesoscale and Nanoscale Physics · Physics 2010-05-18 Jesper G. Pedersen , Christian Flindt , Antti-Pekka Jauho , Niels Asger Mortensen

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 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

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

Transport properties of arrays of metallic quantum dots are governed by the distance-dependent exchange coupling between the dots. It is shown that the effective value of the exchange coupling, as measured by the charging energy per dot,…

Quantum Physics · Physics 2007-05-23 Jiaxiang Wang , Sabre Kais , F. Remacle , R. D. Levine

We study the exchange coupling in small Wigner crystals confined to one-dimensional space. In particular we concentrate on the simplest nontrivial case of two electrons in a box potential and calculate analytically the energy splitting…

Strongly Correlated Electrons · Physics 2025-12-30 Daniele Lagasco , Zoran Ristivojevic

We present a controlled method for computing the exchange coupling in correlated one-dimensional electron systems based on the relation between the exchange constant and the pair-correlation function of spinless electrons. This relation is…

Strongly Correlated Electrons · Physics 2007-05-23 Michael M. Fogler , Eugene Pivovarov

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

We investigate how two-particle interactions affect the electronic transport through meso- and nanoscopic systems of two different types: quantum dots with local Coulomb correlations and quasi one-dimensional quantum wires of interacting…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. Meden

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 time-dependent backscattered current produced in a quantum wire when a local barrier is suddenly switched on. Previous investigations are improved by taking into account the finite length of the device. We establish two…

Strongly Correlated Electrons · Physics 2011-12-14 Mariano Salvay , Aníbal Iucci , Carlos Naón

In this work, the exchange energy J for a system of two laterally-coupled quantum dots, each one with an electron, is calculated analytically and in a detailed form, considering them as hydrogen-like atoms, under the Heitler-London…

Quantum Physics · Physics 2015-06-26 H. E. Caicedo-Ortiz , S. T. Perez-Merchancano

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 investigate the effect of electron-electron interactions on the transport properties of disordered quasi one-dimensional quantum wires with two or more subbands occupied. We apply two alternative methods to solve the logarithmic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Arisato Kawabata , Tobias Brandes

We consider a phase-coherent system of two parallel quantum wires that are coupled via a tunneling barrier of finite length. The usual perturbative treatment of tunneling fails in this case, even in the diffusive limit, once the length L of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daniel Boese , Michele Governale , A. Rosch , U. Zuelicke

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

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 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

The correlation between electrons in different quantum wires is expected to affect the electronic properties of quantum electron-electron biwire systems. Here, we use the variational Monte Carlo method to study the ground-state properties…

Quantum Gases · Physics 2021-08-04 Rajesh O. Sharma , N. D. Drummond , Vinod Ashokan , K. N. Pathak , Klaus Morawetz
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