Anderson-localization versus delocalization of interacting fermions in one dimension
Strongly Correlated Electrons
2009-10-30 v1 Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
Abstract
Using the density matrix renormalization group algorithm, we investigate the lattice model for spinless fermions in one dimension in the presence of a strong interaction and disorder. The phase sensitivity of the ground state energy is determined with high accuracy for systems up to a size of 60 lattice constants. This quantity is found to be log-normally distributed. The fluctuations grow algebraically with system size with a universal exponent of ~2/3 in the localized region of the phase diagram. Surprizingly, we find, for an attractive interaction, a delocalized phase of finite extension. The boundary of this delocalized phase is determined.
Keywords
Cite
@article{arxiv.cond-mat/9706107,
title = {Anderson-localization versus delocalization of interacting fermions in one dimension},
author = {P. Schmitteckert and T. Schulze and C. Schuster and P. Schwab and U. Eckern},
journal= {arXiv preprint arXiv:cond-mat/9706107},
year = {2009}
}
Comments
5 pages, 6 figures, revtex