Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-06-18
Phys. Rev. B 76, 245419 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
16 pages
Scientific paper
10.1103/PhysRevB.76.245419
We study Fermi edge singularities in photo-absorption spectra of generic mesoscopic systems such as quantum dots or nanoparticles. We predict deviations from macroscopic-metallic behavior and propose experimental setups for the observation of these effects. The theory is based on the model of a localized, or rank one, perturbation caused by the (core) hole left behind after the photo-excitation of an electron into the conduction band. The photo-absorption spectra result from the competition between two many-body responses, Anderson's orthogonality catastrophe and the Mahan-Nozieres-DeDominicis contribution. Both mechanisms depend on the system size through the number of particles and, more importantly, fluctuations produced by the coherence characteristic of mesoscopic samples. The latter lead to a modification of the dipole matrix element and trigger one of our key results: a rounded K-edge typically found in metals will turn into a (slightly) peaked edge on average in the mesoscopic regime. We consider in detail the effect of the "bound state" produced by the core hole.
Baranger Harold U.
Hentschel Mario
Ullmo Denis
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