Publication Type
Journal
Journal Name
Physical Review E
Publication Date
Page Number
031130
Volume
83
Issue
3
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 proof is based on an analogy to the metal-insulator transition. We construct a sparse random-matrix ensemble H^{cr} that mimicks that transition. Our claim then follows from the fact that the generic random-matrix ensemble modeling a fermionic interacting many-body is much less sparse than H^{cr}.
