Nonlinearity effect on 1D periodic and disordered lattices

Details Nonlinearity effect on 1D periodic and disordered lattices Nonlinearity effect on 1D periodic and disordered lattices

1998-08-19

arxiv.org/abs/cond-mat/9808217v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages Tex file and 6 Ps figures (submitted to JPCM)

Scientific paper

The Kronig-Penney model is used to Study the effect of nonlinear interaction on the transmissive properties of both ordered and disordered chains. In the ordered case, the nonlinearity can either localize or delocalize the electronic states depending on both its sign and strength but there is a critical strength above which all the states are localized. In the disordered case, however, we found that the transmission decays as $T\sim L^{-\gamma}$ around the band edge of the corresponding periodic system. The exponent $\gamma$ is independent of the strength of the nonlinearity in the case of disordered barrier potentials, while it varies with the strength for mixed potentials.

Affiliated with

Also associated with

No associations

Rating

Nonlinearity effect on 1D periodic and disordered lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinearity effect on 1D periodic and disordered lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinearity effect on 1D periodic and disordered lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-265357