Absorption and Emission in quantum dots: Fermi surface effects of Anderson excitons

Abstract

Recent experiments measuring the emission of exciton recombination in a self-organized single quantum dot (QD) have revealed that novel effects occur when the wetting layer surrounding the QD becomes filled with electrons, because the resulting Fermi sea can hybridize with the local electron levels on the dot. Motivated by these experiments, we study an extended Anderson model, which describes a local conduction band level coupled to a Fermi sea, but also includes a local valence band level. We are interested, in particular, on how many-body correlations resulting from the presence of the Fermi sea affect the absorption and emission spectra. Using Wilson's numerical renormalization group method, we calculate the zero-temperature absorption (emission) spectrum of a QD which starts from (ends up in) a strongly correlated Kondo ground state. We predict two features: Firstly, we find that the spectrum shows a power law divergence close to the threshold, with an exponent that can be understood by analogy to the well-known X-ray edge absorption problem. Secondly, the threshold energy ${\omega }_0$ - below which no photon is absorbed (above which no photon is emitted) - shows a marked, monotonic shift as a function of the exciton binding energy $U_{\mathrm{exc}}$

arXiv comment10 pages, 9 figures

References in corpus (9)

• Kondo Physics in a Single Electron Transistor
• A Tunable Kondo Effect in Quantum Dots
• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Finite temperature numerical renormalization group study of the Mott-transition
• Spectral Properties of the Anderson Impurity Model, Comparison of Numerical Renormalization Group and Non--Crossing Approximation
• Numerical Renormalization Group Study of Pseudo-Fermion and Slave-Boson Spectral Functions in the Single Impurity Anderson Model
• Spin correlations in nonlinear optical response: Light-induced Kondo effect
• Kondo excitons in self-assembled quantum dots
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Cited by in corpus (16)

• The numerical renormalization group method for quantum impurity systems
• Tensor networks and the numerical renormalization group
• Coulomb blockade in an atomically thin quantum dot coupled to a tunable Fermi reservoir
• Anderson Orthogonality in the Dynamics After a Local Quantum Quench
• The X-ray edge singularity in Quantum Dots
• Universal nonequilibrium signatures of Majorana zero modes in quench dynamics
• Observation of coupling between zero- and two-dimensional semiconductor systems based on anomalous diamagnetic effects
• Anderson Orthogonality and the Numerical Renormalization Group
• Anderson's orthogonality catastrophe
• Nonequilibrium Dynamics Across an Impurity Quantum Critical Point
• Edge Physics of the Quantum Spin Hall Insulator from a Quantum Dot Excited by Optical Absorption
• Photoluminiscence of a quantum dot hybridized with a continuum
• Many-body dynamics of the decay of excitons of different charges in a quantum dot
• Shedding light on non-equilibrium dynamics of a spin coupled to fermionic reservoir
• Quantum quench of Kondo correlations in optical absorption
• Computing local multipoint correlators using the numerical renormalization group