Dielectric response of the interacting 1D spinless fermions with disorder
Abstract
Dielectric responces of the one-dimentional electron system is investigated numerically. We treat an interacting one-dimentional spinless fermion model with disorder by using the Density Matrix Renormalization Group(DMRG) method which is extended for nonuniform systems. We apply an electric field to the system and calculate dielectric responces. Dielectric responce of the Mott insulator and the Anderson insulator are calculated respectively. Steplike behaviors in curve are obtained which corresponds to breakdown of the insulating behavior. For the Mott insulator, the steps originate from generation of kink-pairs. For the Anderson insulator on the other hand, the origin of the steps is a crossing of the localized one particle energy levels. We also treat random systems with interaction. From one parameter scaling analysis of the susceptibility , the metal-insulator transition in attractively interacting region is confirmed and a phase diagram of the random spinless fermion model is obtained.
Cite
@article{arxiv.cond-mat/0311202,
title = {Dielectric response of the interacting 1D spinless fermions with disorder},
author = {Masato Kishi and Yasuhiro Hatsugai},
journal= {arXiv preprint arXiv:cond-mat/0311202},
year = {2016}
}