Localization in Fock space: A finite size scaling hypothesis for many particle excitation statistics

Details Localization in Fock space: A finite size scaling hypothesis for many particle excitation statistics Localization in Fock space: A finite size scaling hypothesis for many particle excitation statistics

1997-07-07

arxiv.org/abs/cond-mat/9707066v1

Phys. Rev. Lett. 80, 568 (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

REVTeX, 13 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.80.568

The concept of localization in Fock space is extended to the study of the many particle excitation statistics of interacting electrons in a two dimensional quantum dot. In addition, a finite size scaling hypothesis for Fock space localization, in which the excitation energy replaces the system size, is developed and tested by analyzing the spectral properties of the quantum dot. This scaling hypothesis, modeled after the usual Anderson transition scaling, fits the numerical data obtained for the interacting states in the dot. It therefore attests to the relevance of the Fock space localization scenario to the description of many particle excitation properties.

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