Chaos in fermionic many-body systems and the metal-insulator transition
Chaotic Dynamics
2011-04-04 v2 Mesoscale and Nanoscale Physics
Nuclear Theory
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 ensemble ScE that mimics that 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.
Keywords
Cite
@article{arxiv.0911.0316,
title = {Chaos in fermionic many-body systems and the metal-insulator transition},
author = {T. Papenbrock and Z. Pluhar and J. Tithof and H. A. Weidenmueller},
journal= {arXiv preprint arXiv:0911.0316},
year = {2011}
}
Comments
8 figures, 8 pages, amplified and corrected, main conclusion unchanged