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Local optical spectroscopy of semiconductor nanostructures in the linear regime

2000/06/30 by O. Mauritz, G. Goldoni, Guido Goldoni +4
Engineering · Materials Science · Physics and Astronomy · #Absorption spectroscopy #Biexciton #Bohr radius #Condensed matter physics #Coulomb #Electromagnetic field #Electron #Exciton #Local field #Near-Field Optical Microscopy #Physics #Quantum Dots Synthesis And Properties #Quantum dot #Quantum mechanics #Semiconductor #Semiconductor Quantum Structures and Devices #Spectral line #Spectroscopy #Wave function #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.62.8204

To appear in Phys. Rev. B. Figures (1 in colors) embedded

arxiv created 2000/06/30 · openalex publication_date 2000/09/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a theoretical approach to calculate the local absorption spectrum of excitons confined in a semiconductor nanostructure. Using the density-matrix formalism, we derive a microscopic expression for the nonlocal susceptibility, both in the linear and nonlinear regimes, which includes a three-dimensional description of electronic quantum states and their Coulomb interaction. The knowledge of the nonlocal susceptibility allows us to calculate a properly defined local absorbed power, which depends on the electromagnetic field distribution. We report on explicit calculations of the local linear response of excitons confined in single and coupled T-shaped quantum wires with realistic geometry and composition. We show that significant interference effects in the interacting electron-hole wave function induce new features in the space-resolved optical spectra, particularly in coupled nanostructures. When the spatial extension of the electromagnetic field is comparable to the exciton Bohr radius, Coulomb effects on the local spectra must be taken into account for a correct assignment of the observed features.

Citations