Progress of Theoretical Physics
Supplement No.166 (2007) pp. 143-151
URL : http://ptp.ipap.jp/link?PTPS/166/143/
DOI : 10.1143/PTPS.166.143

Many-Body Effects in the Mesoscopic x-Ray Edge Problem

Martina Hentschel,¹ Georg Röder¹ and Denis Ullmo^2,3

Many-body phenomena, a key interest in the investigation of bulk solid state systems, are studied here in the context of the x-ray edge problem for mesoscopic systems. We investigate the many-body effects associated with the sudden perturbation following the x-ray excition of a core electron into the conduction band. For small systems with dimensions at the nanoscale we find considerable deviations from the well-understood metallic case where Anderson orthogonality catastrophe and the Mahan-Nozières-DeDominicis response cause characteristic deviations of the photoabsorption cross section from the naive expectation. Whereas the K-edge is typically rounded in metallic systems, we find a slightly peaked K-edge in generic mesoscopic systems with chaotic-coherent electron dynamics. Thus the behavior of the photoabsorption cross section at threshold depends on the system size and is different for the metallic and the mesoscopic case.

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