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Here we give an overview of the research on spin-based quantum dot quantum computation. In particular, we discuss the conditions for the Heisenberg exchange Hamiltonian to be a satisfactory description of two-electron interaction in a GaAs…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Xuedong Hu , S. Das Sarma

Using an exact diagonalization approach we show that one- and two-electron InAs quantum dots exhibit avoided crossing in the energy spectra that are induced by the spin-orbit coupling in the presence of an in-plane external magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2011-07-01 M. P. Nowak , B. Szafran , F. M. Peeters , B. Partoens , W. Pasek

We study the spin-spin interaction between quantum dots coupled through a two dimensional electron gas with spin-orbit interaction. We show that the interplay between transverse electron focusing and spin-orbit coupling allows to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gonzalo Usaj , C. A. Balseiro

We introduce a theoretical framework for computaions of anisotropic multipolar exchange interactions found in many spin--orbit coupled magnetic systems and propose a method to extract these coupling constants using a density functional…

Strongly Correlated Electrons · Physics 2014-08-01 Shu-Ting Pi , Ravindra Nanguneri , Sergey Savrasov

We present a new model for the study of spin-orbit coupling in interacting quasi-one-dimensional systems and solve it exactly to find the spectral properties of such systems. We show that the combination of spin-orbit coupling and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Moroz , K. V. Samokhin , C. H. W. Barnes

Kitaev interactions underlying a quantum spin liquid have been long sought, but experimental data from which their strengths can be determined directly is still lacking. Here, by carrying out inelastic neutron scattering measurements on…

Transition metal compounds with the $(t_{2g})^4$ electronic configuration are expected to be nonmagnetic atomic singlets both in the weakly interacting regime due to spin-orbit coupling, as well as in the Coulomb dominated regime with…

Strongly Correlated Electrons · Physics 2017-01-16 Christopher Svoboda , Mohit Randeria , Nandini Trivedi

The spin-orbit interaction in semiconductors is shown to result in an anisotropic contribution into the exchange Hamiltonian of a pair of localized conduction-band electrons. The anisotropic exchange interaction exists in semiconductor…

Condensed Matter · Physics 2009-10-31 K. V. Kavokin

We perform a systematic exact diagonalization study of spin-orbit coupling effects for stationary few-electron states confined in quasi two-dimensional double quantum dots. We describe the spin-orbit-interaction induced coupling between…

Mesoscale and Nanoscale Physics · Physics 2010-06-17 M. P. Nowak , B. Szafran

We determined the eigenstates of a single electron in a parabolic anisotropic 2D quantum dot in a magnetic field. Using obtained expressions for these eigenstates, we study the spin coupling J between two electrons located in two laterally…

Condensed Matter · Physics 2007-05-23 Alexander P. Itin

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

Anisotropic superexchange interaction is one of the most important interactions in realizing exotic quantum magnetism, which is traditionally regarded to originate from magnetic ions and has no relation with the nonmagnetic ions. In our…

Strongly Correlated Electrons · Physics 2020-10-13 Jun Chang , Jize Zhao , Yang Ding

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 consider a Kondo spin that is coupled antiferromagnetically to a large chaotic quantum dot. Such a dot is described by the so-called universal Hamiltonian and its electrons are interacting via a ferromagnetic exchange interaction. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Stefan Rotter , Y. Alhassid

Spins in molecular magnets can experience both anisotropic exchange interactions and on-site magnetic anisotropy. In this paper we study the effect of exchange anisotropy on the molecular magnetic anisotropy both with and without on-site…

Materials Science · Physics 2018-12-12 Sumit Haldar , Rajamani Raghunathan , Jean-Pascal Sutter , S. Ramasesha

We use the method of invariants to derive one- and two-band effective Hamiltonians of a noncentrosymmetric two-dimensional electron gas, in the presence of magnetic field. A complete classification of the antisymmetric spin-orbit and…

Mesoscale and Nanoscale Physics · Physics 2021-12-24 K. V. Samokhin

We address quantum characterization of anisotropic spin chains in the presence of antisymmetric exchange, and investigate whether the Hamiltonian parameters of the chain may be estimated with precision approaching the ultimate limit imposed…

Quantum Physics · Physics 2025-02-18 Simone Cavazzoni , Marco Adani , Paolo Bordone , Matteo G. A. Paris

One and two-electron systems confined in a single and coupled quantum dots defined within a nanowire with a finite radius are studied in the context of spin-orbit coupling effects. Anisotropy of the spin-orbit interaction is discussed in…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 M. P. Nowak , B. Szafran

Anisotropic magnetic exchange interactions lead to a surprisingly rich variety of the magnetic properties. Considering the spin orbit coupling (SOC) as perturbation, we extract the general expression of a bilinear spin Hamiltonian,…

Materials Science · Physics 2023-08-29 Di Wang , Xiangyan Bo , Feng Tang , Xiangang Wan

A spin-orbit qubit is a hybrid qubit that contains both orbital and spin degrees of freedom of an electron in a quantum dot. Here we study the exchange coupling between two spin-orbit qubits in a nanowire double quantum dot (DQD) with…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 Rui Li , J. Q. You