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Phys Rev E Stat Nonlin Soft Matter Phys
; 83(3 Pt 1): 031130, 2011 Mar.
Article
in English
| MEDLINE
| ID: mdl-21517477
ABSTRACT
We show that finite Fermi systems governed by a mean field and a few-body interaction generically possess spectral fluctuations of the Wigner-Dyson type and are, thus, chaotic. Our argument is based on an analogy to the metal-insulator transition. We construct a sparse random-matrix scaffolding ensemble (ScE) that mimics this transition. Our claim then follows from the fact that the generic random-matrix ensemble modeling a fermionic interacting many-body system is much less sparse than ScE.