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We review recent advances on the theory of spin qubits in nanostructures. We focus on four selected topics. First, we show how to form spin qubits in the new and promising material graphene. Afterwards, we discuss spin relaxation and…

Mesoscale and Nanoscale Physics · Physics 2008-08-29 B. Trauzettel , M. Borhani , M. Trif , D. Loss

In this work, we explore the rich variety of topological states that arise in two-dimensional systems, by considering the competing effects of spin-orbit couplings and a perpendicular magnetic field on a honeycomb lattice. Unlike earlier…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 W. Beugeling , N. Goldman , C. Morais Smith

We show that the spin-orbit interaction (SOI) arising due to the in-plane electric field of the Coulomb repulsion between electrons in a two-dimensional quantum well produces an attractive component in the pair interaction Hamiltonian that…

Strongly Correlated Electrons · Physics 2020-02-12 Yasha Gindikin , Vladimir A. Sablikov

We carried out a nested Schrieffer-Wolff transformation of an Anderson two-impurity Hamiltonian to study the spin-spin coupling between two dynamical quantum dots under the influence of rotating transverse magnetic field. As a result of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Vahram L. Grigoryan , Jiang Xiao

We consider interacting electrons in a quantum wire in the case of a shallow confining potential and low electron density. In a certain range of densities, the electrons form a two-row (zigzag) Wigner crystal whose spin properties are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. D. Klironomos , Julia S. Meyer , T. Hikihara , K. A. Matveev

Entanglement of spins is analyzed for two electrons extracted from a mixed many electron state by projecting onto the two-electron subspace. The concurrence formulae are expressed in a compact form for states with a well defined square of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. Ramsak , J. Mravlje , T. Rejec , A. Lautar

In this article we review our work on the dynamics and decoherence of electron and hole spins in single and double quantum dots. The first part, on electron spins, focuses on decoherence induced via the hyperfine interaction while the…

Mesoscale and Nanoscale Physics · Physics 2007-06-12 D. Klauser , D. V. Bulaev , W. A. Coish , Daniel Loss

The spin states of electrons confined in semiconductor quantum dots form a promising platform for quantum computation. Recent studies of silicon CMOS qubits have shown coherent manipulation of electron spin states with extremely high…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 S. D. Liles , R. Li , C. H. Yang , F. E. Hudson , M. Veldhorst , A. S. Dzurak , A. R. Hamilton

The exchange coupling between quantum dot spin qubits is isotropic, which restricts the types of quantum gates that can be formed. Here, we propose a method for controlling anisotropic interactions between spins arranged in a bus geometry.…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Yun-Pil Shim , Sangchul Oh , Xuedong Hu , Mark Friesen

Few-electron states in carbon-nanotube quantum dots are studied by means of the configuration-interaction method. The peculiar non-interacting feature of the tunneling spectrum for two electrons, recently measured by Kuemmeth et al. [Nature…

Mesoscale and Nanoscale Physics · Physics 2009-07-18 Andrea Secchi , Massimo Rontani

The separate and combined influences of the spin-orbit and electron-electron interactions on the electron magnetization in quantum rings have been studied theoretically on the basis of the spin-density-functional theory and the Kohn-Sham…

Mesoscale and Nanoscale Physics · Physics 2013-09-23 O. S. Bauzha

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

The notion of zitterbewegung is a long-standing prediction of relativistic quantum mechanics. Here we extend earlier theoretical studies on this phenomenon for the case of III-V zinc-blende semiconductors which exhibit particularly strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann , Daniel Loss , R. M. Westervelt

Electron flow through a quantum point contact in presence of spin-orbit coupling is investigated theoretically in the context of the scanning gate microscopy (SGM) conductance mapping. Although in the absence of the floating gate the…

Mesoscale and Nanoscale Physics · Physics 2014-07-09 M. P. Nowak , K. Kolasiński , B. Szafran

We estimate the spin relaxation rate due to spin-orbit coupling and acoustic phonon scattering in weakly-confined quantum dots with up to five interacting electrons. The Full Configuration Interaction approach is used to account for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Juan I. Climente , Andrea Bertoni , Guido Goldoni , Massimo Rontani , Elisa Molinari

Hyperfine interaction of electron spins with nuclear spins, in coupled double quantum dots is studied. Results of successive electron spin measurements exhibit bunching due to correlations induced via the nuclear spins. Further nuclear…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ozgur Cakir , Toshihide Takagahara

Electrons in atoms possess both spin and orbital degrees of freedom. In non-relativistic quantum mechanics, these are independent, resulting in large degeneracies in atomic spectra. However, relativistic effects couple the spin and orbital…

Mesoscale and Nanoscale Physics · Physics 2008-04-07 F. Kuemmeth , S. Ilani , D. C. Ralph , P. L. McEuen

We study the effect of the spin-orbit interaction on heavy holes confined in a double quantum dot in the presence of a magnetic field of arbitrary direction. Rich physics arise as the two hole states of different spin are not only coupled…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 Philipp M. Mutter , Guido Burkard

During the last years there has been much interest, and theoretical discussion, about the possibility to use spin-orbit coupling to control the carriers spins in two-dimensional semiconducting heterostructures. Spin polarization at the…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 A. A. Reynoso , G. Usaj , C. A. Balseiro

We study the frequency dependent spin- and charge- conductivity tensors of a two-dimensional electron gas (2DEG) with Rashba and Dresselhaus spin-orbit interaction. We show that the angular anisotropy of the spin-splitting energy induced by…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jesús A. Maytorena , Catalina López-Bastidas , Francisco Mireles