Regensburg 2010 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 8: CE: (General) Theory

TT 8.6: Talk

Monday, March 22, 2010, 15:15–15:30, H21

Fermi-edge singularity in a quantum dot — •Markus Heyl and Stefan Kehrein — Ludwig-Maximilians-Universität, Theresienstrasse 37, 80333 München

We investigate the Fermi-edge singularity problem realized in a noninteracting quantum dot. An appropriately tuned laser beam incident on the dot suddenly switches on the hybridization of a dot level with the conduction band electrons. Based on recently developed methods [1], we analytically calculate the exponent of the singularity in the absorption spectrum near the threshold and extend known analytical results [2,3] to the whole parameter regime. Furthermore, we point out that the exponent of the Fermi-edge singularity in the anisotropic Kondo model depends on anisotropy.

[1] N. d’Ambrumenil and B. A. Muzykantskii, Phys. Rev. B 71, 045326 (2005).

[2] A. Kontani and Y. Toyozawa, J. Phys. Soc. Jpn. 35, 1073 (1973).

[3] T. Kita, K. Ohtaka and Y. Tanabe, J. Phys. Soc. Jpn. 56, 4609 (1987).