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The effects of spin-orbit coupling on the two-electron spectra in lateral coupled quantum dots are investigated analytically and numerically. It is demonstrated that in the absence of magnetic field the exchange interaction is practically…

Mesoscale and Nanoscale Physics · Physics 2010-04-12 Fabio Baruffa , Peter Stano , Jaroslav Fabian

This paper contains the details of Phys. Rev. Lett. 73, 2919 (1994) and, to a lesser extent, Phys. Rev. Lett. 72, 3710 (1994). We treat a Hubbard model which includes all the 3d states of the Cu ions and the 2p states of the O ions. We also…

Condensed Matter · Physics 2009-10-28 T. Yildirim , A. B. Harris , Amnon Aharony , O. Entin-Wohlman

An alternating electric field, applied to a quantum dot, couples to the electron spin via the spin-orbit interaction. We analyze different types of spin-orbit coupling known in the literature and find two efficient mechanisms of spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vitaly N. Golovach , Massoud Borhani , Daniel Loss

We study the exchange interaction between two hole-spin qubits in a double quantum dot setup in a silicon nanowire in the presence of magnetic and electric fields. Based on symmetry arguments we show that there exists an effective spin that…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Bence Hetényi , Christoph Kloeffel , Daniel Loss

We perform time-dependent simulations of spin exchange for an electron pair in laterally coupled quantum dots. The calculation is based on configuration interaction scheme accounting for spin-orbit (SO) coupling and electron-electron…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 M. P. Nowak , B. Szafran

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

Two electron spins in quantum dots coupled through coherent tunneling are generally acknowledged to approximately obey Heisenberg isotropic exchange. This has not been established for two holes. Here we measure the spectra of two holes and…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 Alex Greilich , Ştefan C. Bădescu , Danny Kim , Allan S. Bracker , Daniel Gammon

In lateral quantum dots, the combined effect of both Dresselhaus and Bychkov-Rashba spin orbit coupling is equivalent to an effective magnetic field B_so which has the opposite sign for s_z=1/2 spin electrons. When the external magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Konemann , R. J. Haug , D. K. Maude , V. I. Fal'ko , B. L. Altshuler

We re-express the Rashba and Dresselhaus interactions as non-Abelian spin-orbit gauges and provide a new perspective in understanding the persistent spin helix [Phys. Rev. Lett. 97, 236601 (2006)]. A spin-orbit interacting system can be…

Mesoscale and Nanoscale Physics · Physics 2008-03-21 Son-Hsien Chen , Ching-Ray Chang

The correct interpretation of magnetic properties in the weak-exchange regime has remained a challenging task for several decades. In this regime, the effective exchange interaction between local spins is quite weak, of the same order of…

Chemical Physics · Physics 2024-01-10 Dumitru-Claudiu Sergentu , Boris Le Guennic , Rémi Maurice

The physics of quantum dots is succinctly depicted by the {\it Universal Hamiltonian}, where only zero mode interactions are included. In the case where the latter involve charging and isotropic spin-exchange terms, this would lead to a…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Boaz Nissan-Cohen , Yuval Gefen , Mikhail N. Kiselev , Igor V. Lerner

We derive a universal Hamiltonian for a quantum dot in the presence of spin-orbit interaction in the symmetry limits of a strong spin-dependent Aharonov-Bohm-like term. We also derive a closed expression for the conductance through such a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Alhassid , T. Rupp

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 Heisenberg exchange interaction between neighboring quantum dots allows precise voltage control over spin dynamics, due to the ability to precisely control the overlap of orbital wavefunctions by gate electrodes. This allows the study…

In order to have a better understanding of ultrafast electrical control of exchange interactions in multi-orbital systems, we study a two-orbital Hubbard model at half filling under the action of a time-periodic electric field. Using…

Strongly Correlated Electrons · Physics 2019-03-06 M. M. S. Barbeau , M. Eckstein , M. I. Katsnelson , J. H. Mentink

We present a technique to map an electronic model with local interactions (a generalized multi-orbital Hubbard model) onto an effective model of interacting classical spins, by requiring that the thermodynamic potentials associated to spin…

Strongly Correlated Electrons · Physics 2015-05-27 Andrea Secchi , Alexander I. Lichtenstein , Mikhail I. Katsnelson

We investigate the spin of a multielectron GaAs quantum dot in a sequence of nine charge occupancies, by exchange coupling the multielectron dot to a neighboring two-electron double quantum dot. For all nine occupancies, we make use of a…

We discuss the problem of spin-orbit interaction in a 2D chaotic or diffusive quantum dot in the presence of exchange correlations. Spin-orbit scattering breaks spin rotation invariance, and in the crossover regime between different…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hakan E. Tureci , Y. Alhassid

Spin properties of single electron states in laterally coupled quantum dots in the presence of a perpendicular magnetic field are studied by exact numerical diagonalization. Dresselhaus (linear and cubic) and Bychkov-Rashba spin-orbit…

Other Condensed Matter · Physics 2007-05-23 Peter Stano , Jaroslav Fabian

We show how to eliminate the first-order effects of the spin-orbit interaction in the performance of a two-qubit quantum gate. Our procedure involves tailoring the time dependence of the coupling between neighboring spins. We derive an…

Quantum Physics · Physics 2009-11-07 N. E. Bonesteel , D. Stepanenko , D. P. DiVincenzo
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