Photoluminescence and radiative lifetime of trions in GaAs quantum wells

Esser, A.; Runge, Erich; Zimmermann, R.; Langbein, Wolfgang Werner

doi:10.1103/physrevb.62.8232

Cited by 175 publications

(168 citation statements)

References 28 publications

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“…Quasi-two-dimensional systems like GaAs QW's have been extensively investigated in the last years, both experimentally [1,2,4,5,6,7,8,9,10] and theoretically [12,13,14,15,16].…”

Section: Numerical Simulation Approachmentioning

confidence: 99%

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Influence of well-width fluctuations on the binding energy of excitons, charged excitons, and biexcitons inGaAs-based quantum wells

et al. 2004

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We present a first-principle path integral Monte-Carlo (PIMC) study of the binding energy of excitons, trions (positively and negatively charged excitons) and biexcitons bound to single-island interface defects in quasi-two-dimensional GaAs/Al x Ga 1−x As quantum wells. We discuss in detail the dependence of the binding energy on the size of the well width fluctuations and on the quantum-well width. The numerical results for the well width dependence of the exciton, trions and biexciton binding energy are in good quantitative agreement with the available experimental data.

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“…Quasi-two-dimensional systems like GaAs QW's have been extensively investigated in the last years, both experimentally [1,2,4,5,6,7,8,9,10] and theoretically [12,13,14,15,16].…”

Section: Numerical Simulation Approachmentioning

confidence: 99%

“…by QW width fluctuations or fluctuations in the alloy composition of the barrier, which were not taken into account in Refs. [12,13,14,15,16,17]. Such effects can induce an additional weak lateral confinement which leads to the confinement of the particles in all three dimensions like in the case of a quantum dot potential.…”

Section: Introductionmentioning

confidence: 99%

Influence of well-width fluctuations on the binding energy of excitons, charged excitons, and biexcitons inGaAs-based quantum wells

et al. 2004

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“…(14)). While the trion ground state energy can be obtained from variational procedures through not too heavy numerical calculations based on minimizing ψ|H|ψ / ψ|ψ [21][22][23][24][25][26][27][28][29], the derivation of trion wave function for bulk or quantum well samples, i.e., the resolution of the Schrödinger equation (H − E)|ψ = 0, with ψ(r e , r e , r h ) = ψ(r e , r e , r h ) for 2D and 3D systems, is far more tricky: It is known that trial functions giving good energies can in fact be very far from the exact eigenfunctions. This is why it would be necessary to really face a more accurate solution of the Schrödinger equation in order to get reliable form for the trion wave function.…”

Section: Exchange Channelmentioning

confidence: 99%

Effect of fermionic components on trion–electron scattering

Combescot¹,

Betbeder‐Matibet²,

Dupertuis³

2008

Solid State Communications

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a b s t r a c tTo test the validity of replacing a composite fermion by an elementary fermion, we calculate the transition rate from a state made of one free electron and one trion to a similar electron-trion pair, through the time evolution of such a pair induced by Coulomb interaction between elementary fermions. It is convenient to describe trion as one electron interacting with one exciton. This allows us to use the tools we have developed in the new composite-exciton many-body theory. The trion-electron scattering contains a direct channel in which ''in'' and ''out'' trions are made with the same fermions, and an exchange channel in which the ''in'' free electron becomes one of the ''out'' trion components. As expected, momenta are conserved in these two channels. The direct scattering is found to read as the bare Coulomb potential between elementary particles multiplied by a form factor which depends on the ''in'' and ''out'' trion relative motion indices η and η , this factor reducing to δ ηη in the zero momentum transfer limit. In this direct channel, the trion at large distance reacts as an elementary particle, its composite nature showing up at large momentum transfer. In contrast, the fact that the trion is not elementary does affect the exchange channel for all momentum transfers. We thus conclude that a 3-component fermion behaves as an elementary fermion for direct processes in the small momentum transfer limit only.

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“…However, one of the striking differences of optical experiments, compared to transport, is the presence of photoexcited holes in the system, which can significantly influence its properties. In samples with very low carrier concentration, the Coulomb interaction between electrons and holes leads to the formation of negatively charged excitons, which have been a subject of intense research during the past decade (see, e.g., [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]). For samples with relatively strong disorder, the commonly accepted picture is that at low density the two-dimensional electron system (2DES) breaks up into areas with finite density (electron puddles) and completely depleted regions, where neutral excitons (X 0 ) can form.…”

Section: Introductionmentioning

confidence: 99%

Charged Excitons in the Quantum Hall Regime

et al. 2004

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We review our recent optical experiments on two-dimensional electron systems at temperatures below 1 K and under high magnetic fields. The two-dimensional electron systems are realized in modulation-doped GaAsAlGaAs single quantum wells. Via gate electrodes the carrier density of the two-dimensional electron systems can be tuned in a quite broad range between about 1 × 10 10 cm −2 and 2 × 10 11 cm −2 . In dilute two-dimensional electron systems, at very low electron densities, we observe the formation of negatively charged excitons in photoluminescence experiments. In this contribution we report about the observation of a dark triplet exciton, which is observable at temperatures below 1 K and for electron filling factors < 1/3, i.e., in the fractional quantum Hall regime only. In experiments where we have increased the density of the two-dimensional electron systems so that a uniform two-dimensional electron system starts to form, we have found a strong energy anomaly of the charged excitons in the vicinity of filling factor 1/3. This anomaly was found to exist in a very narrow parameter range of the density and temperature, only. We propose a model where we assume that localized charged excitons and a uniform Laughlin liquid coexist. The localized charged exciton in close proximity to the Laughlin liquid leads to the creation of a fractionally-charged quasihole in the liquid, which can account for the experimentally observed anomaly.

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Photoluminescence and radiative lifetime of trions in GaAs quantum wells

Cited by 175 publications

References 28 publications

Influence of well-width fluctuations on the binding energy of excitons, charged excitons, and biexcitons inGaAs-based quantum wells

Influence of well-width fluctuations on the binding energy of excitons, charged excitons, and biexcitons inGaAs-based quantum wells

Effect of fermionic components on trion–electron scattering

Charged Excitons in the Quantum Hall Regime

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