Two interacting particles in a disordered chain I: Multifractality of the interaction matrix elements
Strongly Correlated Electrons
2009-10-30 v3 Disordered Systems and Neural Networks
Abstract
For interacting particles in a one dimensional random potential, we study the structure of the corresponding network in Hilbert space. The states without interaction play the role of the ``sites''. The hopping terms are induced by the interaction. When the one body states are localized, we numerically find that the set of directly connected ``sites'' is multifractal. For the case of two interacting particles, the fractal dimension associated to the second moment of the hopping term is shown to characterize the Golden rule decay of the non interacting states and the enhancement factor of the localization length.
Cite
@article{arxiv.cond-mat/9706258,
title = {Two interacting particles in a disordered chain I: Multifractality of the interaction matrix elements},
author = {Xavier Waintal and Jean-Louis Pichard},
journal= {arXiv preprint arXiv:cond-mat/9706258},
year = {2009}
}
Comments
First paper of a serie of four, to appear in Eur. Phys. J