Critical Spectral Statistics at the Metal-Insulator Transition in Interacting Fermionic Systems
Mesoscale and Nanoscale Physics
2009-10-31 v2
Abstract
The spectral properties of a disordered system with few interacting three-dimensional spinless fermions are investigated. We show the existence of a critical spacings distribution which is invariant upon increase of the system size, but strongly depends on the number of particles. At the critical point, we report a substantial decrease of the degree of level repulsion as the number of particles increases indicating a decrease of nearest level correlations associated with the sparsity of the Hamiltonian matrix.
Keywords
Cite
@article{arxiv.cond-mat/9802226,
title = {Critical Spectral Statistics at the Metal-Insulator Transition in Interacting Fermionic Systems},
author = {Philippe Jacquod},
journal= {arXiv preprint arXiv:cond-mat/9802226},
year = {2009}
}
Comments
Revtex, 4 pages, 3 encapsulated postscript figures appended Final version as accepted for publication in PRL