Resonant Rayleigh Scattering of Exciton-Polaritons in Multiple Quantum Wells

Malpuech, Guillaume; Kavokin, A. V.; Langbein, Wolfgang Werner; Hvam, Jørn Märcher

doi:10.1103/physrevlett.85.650

Cited by 44 publications

(38 citation statements)

References 22 publications

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“…For a semiconductor quantum well (QW) the SE does not depend significantly on the emission direction due to the small exciton dispersion within the optically accessible in-plane wave vectors, which is typically below 100 meV and smaller than the exciton linewidth. Oppositely, polaritonic states have a strong dispersion due to their photonic content and show a distinct dependence of the SE on its direction, as is observed in multiple QW structures [1,2]. In semiconductor quantum well microcavities (MC), cavity polaritons are formed [3] with a very steep dispersion at small in-plane wave vectors.…”

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confidence: 99%

Elastic Scattering Dynamics of Cavity Polaritons: Evidence for Time-Energy Uncertainty and Polariton Localization

Langbein

Hvam

2002

Phys. Rev. Lett.

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confidence: 99%

Elastic Scattering Dynamics of Cavity Polaritons: Evidence for Time-Energy Uncertainty and Polariton Localization

Langbein

Hvam

2002

Phys. Rev. Lett.

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“…5b. Earlier experimental findings [8] with distinct oscillations, however, have later been attributed to light propagation (polariton) effects in multi-quantum well samples [9]. Recent measurements on single quantum wells (QWs) without monolayer splitting have shown a Rayleigh signal without oscillations.…”

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Level repulsion of exciton states in disordered semiconductor nanostructures

Zimmermann

Runge

Savona

2003

Physica Status Solidi (b)

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Exciton states in semiconductor nanostructures with disorder exhibit level repulsion, a concept known from random matrix theory. Its manifestations in time-resolved Rayleigh spectra and in the autocorrelation of optical nearfield spectra are explained, and available experimental results are critically discussed. It is proposed to investigate the intrasubband absorption in quantum wells with emphasis on the aspects of level repulsion.1 Introduction The eigenvalues of complex quantum mechanical systems seem to be randomly distributed -but only at a first glance. Looking more carefully, one observes that small energetic distances occur extremely seldom. This effect is known as quantum-mechanical level repulsion (LR) and has been used to characterize nuclear excitation spectra and the distribution of atomic Rydberg energies. Quite at the heart of this effect is the avoided crossing of eigenvalues under changes of an external parameter -provided the relevant coupling matrix element is nonzero. This can be seen most easily when restricting the Hamiltonian to a 2 Â 2 basis, where the eigenvalues follow from

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“…Being obtained from time-resolved emission from QWs, c l ranges from 5 nm [2] through 23 to 70 nm [1] up to 400 to 3000 nm [3]. Those of the lengths which satisfy the conditions B c a l w << ∼ с ( 10 B a ∼ nm is the Bohr exciton radius for GaAs-based QWs) call the polaritonic nature of RRS in question.…”

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“…The first two manifests directly in time-resolved emission from disordered QWs dealt with in most works, e.g. [1][2][3], where the concept of random potential affecting the motion of exciton center-of-mass in QW plane is exploited. The fitted correlation lengths of the potential range from a few nanometers to a few thousand nanometers [1-3], the differences being unexplained.…”

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Spontaneous emission, elastic scattering and localization of exciton‐polaritons in disordered quantum wells

Kosobukin

2005

phys. stat. sol. (c)

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PACS 71.35.Cc, 78.67.Pt Steady-state resonant effects due to multiple scattering of exciton-polaritons are studied for quantum wells in disordered semiconductor multilayers. Single quantum wells with laterally fluctuating width and random arrays of quantum wells are considered as the basic objects with intra-and inter-well disorder. Discussed are the following issues: a model of fluctuating quasi-2D exciton polarization, steady-state resonant Rayleigh scattering and resonant localization of exciton-polaritons. 1 Introduction Coherent re-emission of photons from low-dimensional excitonic states is known to cause exciton-polaritonic energy transfer through quantum-size structures. Imperfections of real heterostructures induce resonant elastic (Rayleigh) scattering of light mediated by exciton-polaritons. Coherent scattering, rather than incoherent luminescence, dominates in the emission from exciton states at low densities of optical excitation. Study of polaritonic versus excitonic character of resonant Rayleigh scattering (RRS) from disordered quantum wells (QW) is a complex problem, with spectral, temporal and spatial (angular) aspects being essential. The first two manifests directly in time-resolved emission from disordered QWs dealt with in most works, e.g. [1][2][3], where the concept of random potential affecting the motion of exciton center-of-mass in QW plane is exploited. The fitted correlation lengths of the potential range from a few nanometers to a few thousand nanometers [1-3], the differences being unexplained. From the viewpoint of scattering (diffraction) theory [4], the extreme of the cited values serve as a sign that the probed static disorder hardly could be optimum for electromagnetic (polaritonic) RRS. This is confirmed by the observation [5] that the angle dependences of steady-state RRS from semiconductor rough surfaces is the most informative for roughness whose correlation length is comparable with the wavelength of light. One can soundly argue that interface profiles seen by a probing electromagnetic wave and by an exciton are different rather than identical. Actually, atomic-force microscopy of semiconductor surface reveals two correlation lengths belonging to short-scale (≈ 40 nm) and long-scale (≈ 300 nm) surface shape fluctuations, and it is only the long-scale disorder that manifests in RRS from the surface in excitonic spectral range [6].This work is focused on the steady-state RRS through exciton-polariton states. Discussed are the polaritonic multiple-scattering effects in semiconductor quantum-well structures with both intra-well and inter-well disorder. Spectral and especially angular features of RRS from single quantum wells are studied for a developed model of fluctuating exciton polarization, and one-dimensional localization of polaritons is analyzed for disordered arrays of QWs.

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Resonant Rayleigh Scattering of Exciton-Polaritons in Multiple Quantum Wells

Cited by 44 publications

References 22 publications

Elastic Scattering Dynamics of Cavity Polaritons: Evidence for Time-Energy Uncertainty and Polariton Localization

Elastic Scattering Dynamics of Cavity Polaritons: Evidence for Time-Energy Uncertainty and Polariton Localization

Level repulsion of exciton states in disordered semiconductor nanostructures

Spontaneous emission, elastic scattering and localization of exciton‐polaritons in disordered quantum wells

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