Dielectric response of the interacting 1D spinless fermions with disorder

Details Dielectric response of the interacting 1D spinless fermions with disorder Dielectric response of the interacting 1D spinless fermions with disorder

2003-11-10

arxiv.org/abs/cond-mat/0311202v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1143/JPSJ.73.311

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 $E$ to the system and calculate dielectric responces. Dielectric responce of the Mott insulator and the Anderson insulator are calculated respectively. Steplike behaviors in $P-E$ 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 $\chi$, the metal-insulator transition in attractively interacting region is confirmed and a phase diagram of the random spinless fermion model is obtained.

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