Quantitative modeling of spin relaxation in quantum dots

J. P. Hansen; S. A. Sorngard; M. Forre; E. Räsänen

doi:10.1103/PhysRevB.85.035326

Quantitative modeling of spin relaxation in quantum dots

J. P. Hansen^*
, S. A. Sorngard
, M. Forre
, E. Räsänen

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

8 Citations (Scopus)

Abstract

We use numerically exact diagonalization to calculate the spin-orbit- and phonon-induced triplet-singlet relaxation rate in a two-electron quantum dot exposed to a tilted magnetic field. Our scheme includes a three-dimensional description of the quantum dot, the Rashba and the linear and cubic Dresselhaus spin-orbit coupling, the ellipticity of the quantum dot, and a full angular description of the magnetic field. We are able to find reasonable agreement with the experimental results of Meunier et al. [Phys. Rev. Lett. 98, 126601 (2007)] in terms of the singlet-triplet energy splitting and the spin relaxation rate, respectively. We analyze in detail the effects of the spin-orbit factors, magnetic-field angles, and dimensionality and discuss the origins of the remaining deviations from the experimental data.

Original language	English
Article number	035326
Number of pages	7
Journal	Physical Review B
Volume	85
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevB.85.035326
Publication status	Published - 31 Jan 2012
Publication type	A1 Journal article-refereed

Funding

We thank L. M. K. Vandersypen and T. Meunier for valuable comments. This work was supported by the Bergen Research Foundation (Norway), the Research Council of Norway (RCN), the Academy of Finland, the Wihuri Foundation, the Nordforsk Network, and NORDITA.

Keywords

ELECTRON-SPIN
TRANSITIONS

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10.1103/PhysRevB.85.035326

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AU - Hansen, J. P.

AU - Sorngard, S. A.

AU - Forre, M.

AU - Räsänen, E.

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N2 - We use numerically exact diagonalization to calculate the spin-orbit- and phonon-induced triplet-singlet relaxation rate in a two-electron quantum dot exposed to a tilted magnetic field. Our scheme includes a three-dimensional description of the quantum dot, the Rashba and the linear and cubic Dresselhaus spin-orbit coupling, the ellipticity of the quantum dot, and a full angular description of the magnetic field. We are able to find reasonable agreement with the experimental results of Meunier et al. [Phys. Rev. Lett. 98, 126601 (2007)] in terms of the singlet-triplet energy splitting and the spin relaxation rate, respectively. We analyze in detail the effects of the spin-orbit factors, magnetic-field angles, and dimensionality and discuss the origins of the remaining deviations from the experimental data.

AB - We use numerically exact diagonalization to calculate the spin-orbit- and phonon-induced triplet-singlet relaxation rate in a two-electron quantum dot exposed to a tilted magnetic field. Our scheme includes a three-dimensional description of the quantum dot, the Rashba and the linear and cubic Dresselhaus spin-orbit coupling, the ellipticity of the quantum dot, and a full angular description of the magnetic field. We are able to find reasonable agreement with the experimental results of Meunier et al. [Phys. Rev. Lett. 98, 126601 (2007)] in terms of the singlet-triplet energy splitting and the spin relaxation rate, respectively. We analyze in detail the effects of the spin-orbit factors, magnetic-field angles, and dimensionality and discuss the origins of the remaining deviations from the experimental data.

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KW - TRANSITIONS

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ER -

Quantitative modeling of spin relaxation in quantum dots

Abstract

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