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Exciton Spin Dynamics in Semiconductor Quantum Dots

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Spin Physics in Semiconductors

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 157))

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Abstract

Semiconductor quantum dots are nanometer sized objects that contain typically several thousand atoms of a semiconducting compound resulting in a confinement of the carriers in the three spatial directions.

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Notes

  1. 1.

    By adjusting the growth method or applying a magnetic or electric field perpendicular to the growth direction [43] the fine structure splitting \(\delta _1\) of neutral excitons can be tuned close to zero, i.e. smaller than the homogeneous broadening of the optical transition. This is an important feature for application of quantum dots as a source of entangled photon pairs [14].

  2. 2.

    The quantum dot symmetry is reduced to \(C_{2v}\) as soon as the symmetry along z is broken.

  3. 3.

    This shift is due to small change of the direct Coulomb interaction between the carriers confined in the quantum dot, which in turn modifies the binding energy of an electron hole pair.

  4. 4.

    This fine structure can be observed in the micro–photoluminescence spectrum of charged biexcitons \(XX^\pm \) or doubly charged excitons \(X^{2\pm }\) (see e.g. Fig. 4.7b)  [38, 64]. A similar fine structure is predicted for \(X^{+^\star }\) [42], even though the triplet splitting seems dominated by anisotropic hole-hole exchange  [72, 73].

  5. 5.

    The difference in lifetimes manifests in the linewidth of the \(X^{2-}\) transitions shown in Fig. 4.7b [38, 66].

  6. 6.

    Under quasiresonant excitation, such that the spin of the photo-created hole is conserved, it is possible to select transitions giving rise to a strong (above 90%) positive optical orientation [67, 76]. The reversal of polarization is however clearly observed in the PL excitation spectroscopy of an individual charged quantum dot [69].

  7. 7.

    Negative circular polarization under non resonant excitation is also observed in charged GaAs/Ga\(_x\)Al\(_{1-x}\)As quantum dots, but is most likely due to another mechanism based on the accumulation of “dark trions” [77, 78].

  8. 8.

    The spin polarization decay is limited in amplitude because \(\varvec{B}_N\) is almost collinear to the spin direction for about 1/3 of the quantum dots. See Chap. 11 for details.

  9. 9.

    In a magnetic field of several Tesla, spin relaxation times in the ms range has been reported for resident electrons in charge tuneable self-assembled InAs dots [87] and in electrostatically defined dots [88].

  10. 10.

    The transverse electron g factor can be extracted from the dependence of the beat frequency on the magnetic field strength. The value of \(g_{e,\perp }=0.75\) obtained in this way is in agreement with the values measured in single dot spectroscopy [35].

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Acknowledgements

We thank J.M. Gérard, V. Ustinov and A. Lemaître for the sample growth. We are grateful to M. Paillard, M. Sénès, P-.F. Braun, L. Lombez, D. Lagarde, S. Laurent, B. Eble, P. Renucci, H. Carrère, P. Voisin, K.V. Kavokin, V.K. Kalevich for their contributions to this work. We thank A. Högele, F. Henneberger and L. Besombes for providing the original figures.

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  1. Laboratoire de Physique et Chimie des Nano-objets, INSA-CNRS-UPS, 135 avenue de Rangueil, 31077, Toulouse, France

    Xavier Marie, Bernhard Urbaszek & Thierry Amand

  2. Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Université Paris-Saclay, C2N Marcoussis, 91460, Marcoussis, France

    Olivier Krebs

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    Mikhail I. Dyakonov

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Marie, X., Urbaszek, B., Krebs, O., Amand, T. (2017). Exciton Spin Dynamics in Semiconductor Quantum Dots. In: Dyakonov, M. (eds) Spin Physics in Semiconductors. Springer Series in Solid-State Sciences, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-65436-2_4

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