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Fermi edge singularities in the mesoscopic regime: Anderson orthogonality catastrophe

Publication ,  Journal Article
Hentschel, M; Ullmo, D; Baranger, HU
Published in: Physical Review B - Condensed Matter and Materials Physics
July 15, 2005

For generic mesoscopic systems, such as quantum dots or nanoparticles, we study the Anderson orthogonality catastrophe (AOC) and Fermi-edge singularities in photoabsorption spectra in a series of two papers. In the present paper we focus on AOC for a finite number of particles in discrete energy levels where, in contrast to the bulk situation, AOC is not complete. Moreover, fluctuations characteristic for mesoscopic systems lead to a broad distribution of AOC ground-state overlaps. The fluctuations originate dominantly in the levels around the Fermi energy, and we derive an analytic expression for the probability distribution of AOC overlaps in the limit of strong perturbations. We address the formation of a bound state and its importance for symmetries between the overlap distributions for attractive and repulsive potentials. Our results are based on a random matrix model for the chaotic conduction electrons that are subject to a rank-one perturbation corresponding, for example, to the localized core hole generated in the photoabsorption process. © 2005 The American Physical Society.

Duke Scholars

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

July 15, 2005

Volume

72

Issue

3

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences
 

Citation

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Hentschel, M., Ullmo, D., & Baranger, H. U. (2005). Fermi edge singularities in the mesoscopic regime: Anderson orthogonality catastrophe. Physical Review B - Condensed Matter and Materials Physics, 72(3). https://doi.org/10.1103/PhysRevB.72.035310
Hentschel, M., D. Ullmo, and H. U. Baranger. “Fermi edge singularities in the mesoscopic regime: Anderson orthogonality catastrophe.” Physical Review B - Condensed Matter and Materials Physics 72, no. 3 (July 15, 2005). https://doi.org/10.1103/PhysRevB.72.035310.
Hentschel M, Ullmo D, Baranger HU. Fermi edge singularities in the mesoscopic regime: Anderson orthogonality catastrophe. Physical Review B - Condensed Matter and Materials Physics. 2005 Jul 15;72(3).
Hentschel, M., et al. “Fermi edge singularities in the mesoscopic regime: Anderson orthogonality catastrophe.” Physical Review B - Condensed Matter and Materials Physics, vol. 72, no. 3, July 2005. Scopus, doi:10.1103/PhysRevB.72.035310.
Hentschel M, Ullmo D, Baranger HU. Fermi edge singularities in the mesoscopic regime: Anderson orthogonality catastrophe. Physical Review B - Condensed Matter and Materials Physics. 2005 Jul 15;72(3).

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

July 15, 2005

Volume

72

Issue

3

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences