Fermi-Edge Singularities in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Al</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>Ga</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi mathvariant="italic">x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi>As</mml:mi></mml:math>Quantum Wells: Extrinsic versus Many-Body Scattering Process

Mélin, Thierry; Laruelle, François

doi:10.1103/physrevlett.85.852

Phys. Rev. Lett.

2000

DOI: 10.1103/physrevlett.85.852

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Fermi-Edge Singularities inAlxGa1−xAsQuantum Wells: Extrinsic versus Many-Body Scattering Process

Thierry Mélin

François Laruelle

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Cited by 9 publications

(2 citation statements)

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“…Experimental and theoretical studies of the arrangement in which Fermi level is near the bottom of empty subband have been reported in [3][4][5][6] and [7][8][9][10][11][12][13], respectively. Due to degeneracy with continuum of lower band, the level E ex acquires a finite width, Γ.…”

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confidence: 99%

Fermi-Edge Singularity in the Vicinity of the Resonant Scattering Condition

2011

Phys. Rev. Lett.

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Fermi-edge absorption theory predicting the spectrum A(ω) ∝ ω(-2δ(0)/π+δ(0)92)/π2) relies on the assumption that scattering phase δ(0) is frequency independent. The dependence of δ(0) on ω becomes crucial near the resonant condition, where the phase changes abruptly by π. In this limit, because of the finite time spent by electron on a resonant level, the scattering is dynamic. We incorporate the finite time delay into the theory, solve the Dyson equation with a modified kernel, and find that, near the resonance, A(ω) behaves as ω(-3/4)|lnω|. Scattering off the core hole becomes resonant in 1D and 2D in the presence of an empty subband above the Fermi level; then a deep hole splits off a level from the bottom of this subband. Fermi-edge absorption in the regime when resonant level transforms into a Kondo peak is discussed.

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confidence: 99%

Fermi-Edge Singularity in the Vicinity of the Resonant Scattering Condition

2011

Phys. Rev. Lett.

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“…It has recently been suggested that the singularities observed in two-dimensional electron systems are due to Fano resonances [14] rather than to Coulomb intersubband scattering processes [15]. Fano resonances [16] occur when a discrete energy level couples to a continuum.…”

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Singularities in the magneto-photoluminescence spectra from isolated quantum dots

Zhang

Plaut

Harbison³

et al. 2006

Semicond. Sci. Technol.

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We have optically investigated quantum dots containing a few electrons each. In zero magnetic field, the photoluminescence (PL) should reflect the occupied density of states of such artificial atoms. However, the few-electron response to recombination of one of these electrons with a localized hole appears to be enhanced as the energy of the electrons approaches the highest occupied state. This phenomenon resembles the Fermi-edge singularity observed in the PL spectra from n-type two-and one-dimensional electron systems. Like in the case of doped n-type quantum wires, this singularity is seen to dominate the PL spectrum of the quantum dots at a low magnetic field with a sharp fall in intensity at a specific magnetic field.

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Optical properties of remotely doped AlAs/GaAs coupled quantum wire arrays. I. Periodic quantum confinement and localization of minority carriers

Mélin

Laruelle²

2002

Phys. Rev. B

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We perform low-temperature optical experiments on remotely doped lateral superlattices epitaxially grown on vicinal GaAs substrates. This quantum wire system provides a degenerate electron gas of density n s Ӎ8 ϫ10 11 cm Ϫ2 subjected to a tunable one-dimensional periodic potential of amplitude Ӎ20 meV and period Ӎ30 nm, i.e., at the scale of its Fermi energy (E F Ӎ25 meV) and Fermi wavelength ( F Ӎ30 nm). We show that the one-dimensional quantum confinement strongly affects both photoluminescence and photoluminescence excitation properties of the degenerate electron system. Through a careful analysis of the optical emission and absorption linear polarization spectra together with their temperature dependence, we distinguish between features due to ͑i͒ the periodic one-dimensional confinement and ͑ii͒ the localization anisotropy of photocreated valence-band carriers.

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Fermi-Edge Singularities inAlxGa1−xAsQuantum Wells: Extrinsic versus Many-Body Scattering Process

Cited by 9 publications

References 21 publications

Fermi-Edge Singularity in the Vicinity of the Resonant Scattering Condition

Fermi-Edge Singularity in the Vicinity of the Resonant Scattering Condition

Singularities in the magneto-photoluminescence spectra from isolated quantum dots

Optical properties of remotely doped AlAs/GaAs coupled quantum wire arrays. I. Periodic quantum confinement and localization of minority carriers

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