Tuning of the spin-orbit interaction in a quantum dot by an in-plane magnetic field

Nowak, M. P.; Szafran, B.; Peeters, F. M.; Partoens, B.; Pasek, Wojciech Julian

doi:10.1103/physrevb.83.245324

Cited by 39 publications

(42 citation statements)

References 48 publications

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“…27 It manifests itself in spin relaxation, 28,29 level anticrossings in InAs single and double dots, 30,31 and in the electric dipole spin resonance (EDSR), 32,33 both in GaAs 34,35 and InAs 36 double dots. It is important to emphasize the existence of different mechanisms that couple the electron spin to the orbital degrees of freedom.…”

Section: Electron-and Nuclear-spin Dynamicsmentioning

confidence: 99%

Nuclear dynamics during Landau-Zener singlet-triplet transitions in double quantum dots

Brataas

Rashba

2011

Phys. Rev. B

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We consider nuclear-spin dynamics in a two-electron double dot system near the intersection of the electron spin singlet S and the lower energy component T + of the spin triplet. The electron spin interacts with nuclear spins and is influenced by the spin-orbit coupling. Our approach is based on a quantum description of the electron spin in combination with the coherent semiclassical dynamics of nuclear spins. We consider single and double Landau-Zener passages across the S-T + anticrossings. For linear sweeps, the electron dynamics is expressed in terms of parabolic cylinder functions. The dynamical nuclear polarization is described by two complex conjugate functions ± related to the integrals of the products of the singlet and triplet amplitudesc * Sc T+ along the sweep. The real part P of ± is related to the S-T + spin-transition probability, accumulates in the vicinity of the anticrossing, and for long linear passages coincides with the Landau-Zener probability P LZ = 1 − e −2πγ , where γ is the Landau-Zener parameter. The imaginary part Q of + is specific for the nuclear-spin dynamics, accumulates during the whole sweep, and for γ 1 is typically an order of magnitude larger than P . P and Q also show critically different dependences on the shape and the duration of the sweep. Q has a profound effect on the nuclear-spin dynamics, by (i) causing intensive shakeup processes among the nuclear spins and (ii) producing a high nuclear spin generation rate when the hyperfine and spin-orbit interactions are comparable in magnitude. Even in the absence of spin-orbit coupling, when the change in the the total angular momentum of nuclear spins is less thanh per single Landau-Zener passage, the change in the global nuclear configuration might be considerably larger due to the nuclear-spin shakeups. We find analytical expressions for the back action of the nuclear reservoir represented via the change in the Overhauser fields the electron subsystem experiences.

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Section: Electron-and Nuclear-spin Dynamicsmentioning

confidence: 99%

Nuclear dynamics during Landau-Zener singlet-triplet transitions in double quantum dots

Brataas

Rashba

2011

Phys. Rev. B

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“…This is qualitatively the same behavior found by Nowak et al [145], thus confirming the validity of their simplified cuboidal model in explaining the origin of the offset.…”

Section: Angular Dependence Of the Soisupporting

confidence: 78%

“…In the same publication it was suggested that the origin of this offset might be a consequence of the QD elongated pyramidal geometry along with the contribution of only RSOI. Subsequently, a theoretical study by Nowak et al [145] proposed an alternative origin. They attributed the offset to the combined action of both RSOI and DSOI in elongated QDs, and not solely to RSOI.…”

Section: Control Of Electron Spin-orbit Anisotropy In Pyramidal Qdsmentioning

confidence: 99%

Electronic structure of quantum dots: response to the environment and externally applied fields

Ortí¹

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AgraïmentsLa present Tesi doctoralés el resultat final de quatre anys de treball i esforç en què he tingut la sort de comptar amb el suport de companys, familiars i amics que han compartit amb mi aquesta enriquidora experiència. Sens dubte, el treball que ací es mostra no haguera sigut possible sense la seua ajuda.En primer lloc, voldria agrair a Josep Planelles i Juan Ignacio Climente el haver-me oferit la possibilitat de realitzar aquest projecte de Tesi sota la seua supervisió. Durant tot el temps que he tingut el plaer de treballar amb ells han mostrat un gran interès i una dedicació plena en proporcionar-me la millor formació investigadora tenint sempre present el que seria millor per al meu futur. De la mateixa manera, el meu agraïmentés extensiu a la resta de membres del grup de Química Quàntica Fernando Rajadell, José Luis Movilla, Miquel Royo i Ana Ballester que d'una manera o altra han contribuït a la realització d'aquesta Tesi. En especial vull destacar a Ana B, amb qui vaig tindre la sort de compartir laboratori durant els primers anys de doctorat i que prompte es va convertir en una molt bona amiga. D'altra banda, voldria mostrar també la meua gratitud als amics que han estat al meu costat en el dia a dia durant aquests anys i que han compartit amb mi molts bons moments dintre i fora de la universitat. En concret vull destacar a Ana M, David, Erica, Neus, Paula i, com no, a chéritounet Loucou. A més, cal mencionar a tots els membres del Departament de Química Física i Analítica, especialment a Merche per la seva predisposició a ajudar-me amb tota la paperassa i els tràmits burocràtics. Done també les gràcies a Sergio E. Ulloa per donar-me l'oportunitat de realitzar una estada breu en el seu grup de recerca en la Universitat d'Ohio (Estats Units), així com a tots els membres del grup per la seua acollida.Finalment, voldria agrair de cor als meus pares el suport i la confiança incondicionals que m'han donat durant tota la meua vida. Perquè són els principals responsables de que haja arribat fins ací, els dedique aquesta Tesi.

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“…The eigenspinors | (16) in order to take part in the minimization procedure and in the determination of λ. However, this approach will obviously give rise to some complications in the energy expression used in the calculation of λ without giving any appreciable change in its value.…”

Section: O-center Impuritymentioning

confidence: 99%

“…The previous studies are concerned with three types of spinorbit interactions namely, Rashba [118], Dresselhaus [4,11,12,14,16,19,20] and conventional interactions [2125]. The study of Rashba and Dresselhaus interactions have been mainly considered in two--dimensional geometries.…”

Section: Introductionmentioning

confidence: 99%

Spin-Orbit Interaction in a Spherical Quantum Dot

2014

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The conventional spinorbit interaction due to the presence of an o-center impurity located in a spherical quantum dot of nite conning potential has been investigated. The dierent eective masses of dot and barrier are taken into consideration. The spinorbit interaction has been calculated in the excited state (2p). The variational method has been applied by using a new form of the trial wave function in addition to the conventional form that has been used in previous work. The new form has the advantage of satisfying the boundary conditions at the interface between dot and barrier in the case of dierent masses. It has been shown that the spinorbit interaction takes its highest value when the impurity is located in the vicinity of the position at which the radial electron probability takes its maximum value. The corresponding results of a central impurity has been investigated as the limiting case when the impurity radial coordinate tends to zero. The case of central impurity has been further explored by using the exact solution in the state (2p) of the radial Schrödinger equation in the presence of the impurity.

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Tuning of the spin-orbit interaction in a quantum dot by an in-plane magnetic field

Cited by 39 publications

References 48 publications

Nuclear dynamics during Landau-Zener singlet-triplet transitions in double quantum dots

Nuclear dynamics during Landau-Zener singlet-triplet transitions in double quantum dots

Electronic structure of quantum dots: response to the environment and externally applied fields

Spin-Orbit Interaction in a Spherical Quantum Dot

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