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The mesoscopic X-ray edge problem: Boundary effects enhance photoabsorption in quantum dots

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Abstract

We investigate the X-ray edge problem and photoabsorption spectra of mesoscopic quantum dot systems, in particular those of rectangular shape. We find strong signatures of Fermi-edge singularities in the photoabsorption cross section that characteristically differ from the well-studied metallic behaviour. The averaged photoabsorption at K-edge, typically rounded in the metallic case, develops a peaked characteristics, comparable to the metallic and mesoscopic L-edge signature, in quantum dots. It stems from the contribution of the system boundary region to the photoabsorption signal and has its origin in the correlation between the single-particle wave functions and their derivatives near a system boundary.

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Authors and Affiliations

  1. Institut für Physik, Technische Universität Ilmenau, Weimarer Str. 25, 98693, Ilmenau, Germany

    Martina Hentschel

  2. Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187, Dresden, Germany

    Georg Röder

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  1. Martina Hentschel
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  2. Georg Röder
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Correspondence to Martina Hentschel.

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Hentschel, M., Röder, G. The mesoscopic X-ray edge problem: Boundary effects enhance photoabsorption in quantum dots. Eur. Phys. J. B 87, 12 (2014). https://doi.org/10.1140/epjb/e2013-41013-4

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  • DOI: https://doi.org/10.1140/epjb/e2013-41013-4

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