Excitons in quantum dots with parabolic confinement

Que, William

doi:10.1103/physrevb.45.11036

Cited by 173 publications

(104 citation statements)

References 20 publications

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“…In bulk, the two oppositely charged particles can be strongly correlated by the Coulomb interaction and bound as hydrogenic states (Wannier-Mott exciton). Although finding binding energies and wavefunctions for the single exciton case is a difficult problem in various geometries, 14,15,16 as far as the vacuum coupling limit is concerned, the exciton field operator which links the two manifolds H 1 and vacuum always assumes the simple form σ + regardless of the details of the exciton. As a particle constituted of two fermions, the exciton is commonly regarded as a boson, from consideration of the angular momentum addition rules and the spin-statistics theorem.…”

Section: Excitons As Quasi-particlesmentioning

confidence: 99%

“…In this work we shall be concerned with resonant optical pumping, so that excitations are created in pairs and the system always remains electrically neutral. We shall describe as an exciton any state of an electron-hole pair, whether it is an atom-like 1s state or has both particles independently quantised, 15 and in a more general sense we shall also use the term for any combination of particles which takes part in the excitonic phase. Indeed the excitonic phase with more than one pair requires at the most accurate level a description in terms of an excitonic complex, e.g., in term of biexcitons/bipolaritons for strong coupling of two electrons and two holes with light 20 .…”

Section: Excitons As Quasi-particlesmentioning

confidence: 99%

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Statistics of excitons in quantum dots and their effect on the optical emission spectra of microcavities

et al. 2006

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A theoretical investigation is presented of the statistics of excitons in quantum dots (QDs) of different sizes. A formalism is developed to build the exciton creation operator in a dot from the single exciton wavefunction and it is shown how this operator evolves from purely fermionic, in case of a small QD, to purely bosonic, in case of large QDs. Nonlinear optical emission spectra of semiconductor microcavities containing single QDs are found to exhibit a peculiar multiplet structure which reduces to Mollow triplet and Rabi doublet in fermionic and bosonic limits, respectively.

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Section: Excitons As Quasi-particlesmentioning

confidence: 99%

Section: Excitons As Quasi-particlesmentioning

confidence: 99%

Statistics of excitons in quantum dots and their effect on the optical emission spectra of microcavities

et al. 2006

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“…The in-plane potential acting on holes is taken to be an analytical function of ρ and comprise the main parabolic term [48][49][50] and a cubic correction describing the trigonal warping, namely,…”

Section: Quantization Of the Hole Motion In The Pyramidal Quantum Dotmentioning

confidence: 99%

Magnetic field induced valence band mixing in [111] grown semiconductor quantum dots

Durnev¹,

Glazov²,

Ivchenko³

et al. 2013

Phys. Rev. B

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We present a microscopic theory of the magnetic field induced mixing of heavy-hole states ±3/2 in GaAs droplet dots grown on (111)A substrates. The proposed theoretical model takes into account the striking dot shape with trigonal symmetry revealed in atomic force microscopy. Our calculations of the hole states are carried out within the Luttinger Hamiltonian formalism, supplemented with allowance for the triangularity of the confining potential. They are in quantitative agreement with the experimentally observed polarization selection rules, emission line intensities and energy splittings in both longitudinal and transverse magnetic fields for neutral and charged excitons in all measured single dots.

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“…[10][11][12][13][14][15][16][17][18][19][20][21][22][23] The dependence of the recombination rates of neutral exciton, biexciton, and multiexciton complexes on Coulomb interactions has been also described in a number of papers. [24][25][26][27][28][29][30] Much less is known about the recombination rates of positively ͑X + ͒ and negatively ͑X − ͒ charged excitons ͑trions͒. 20,31,32 This is nonetheless an interesting problem.…”

Section: Introductionmentioning

confidence: 99%

Photoluminescence spectroscopy of trions in quantum dots: A theoretical description

Climente

Bertoni²,

Goldoni

2008

Phys. Rev. B

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We present a full configuration-interaction study of the spontaneous recombination of neutral and singly charged excitons ͑trions͒ in semiconductor quantum dots from weak-to strong-coupling regimes. We find that the enhancement of the recombination rate of neutral excitons with increasing dot size is suppressed for negative trions and even reversed for positive trions. Our findings agree with recent comprehensive photoluminescence experiments in self-assembled quantum dots ͓P. Dalgarno et al., Phys. Rev. B 77, 245311 ͑2008͔͒ and confirm the major role played by correlations in the valence band. The effect of the temperature on the photoluminescence spectrum and that of the ratio between the electron and hole wave-function length scales are also described.

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Excitons in quantum dots with parabolic confinement

Cited by 173 publications

References 20 publications

Statistics of excitons in quantum dots and their effect on the optical emission spectra of microcavities

Statistics of excitons in quantum dots and their effect on the optical emission spectra of microcavities

Magnetic field induced valence band mixing in [111] grown semiconductor quantum dots

Photoluminescence spectroscopy of trions in quantum dots: A theoretical description

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