Direct Scaling Analysis of localization in disordered systems. II. Multi-particle lattice systems

Details Direct Scaling Analysis of localization in disordered systems. II. Multi-particle lattice systems Direct Scaling Analysis of localization in disordered systems. II. Multi-particle lattice systems

2011-06-11

arxiv.org/abs/1106.2234v1

Physics

Mathematical Physics

Scientific paper

We adapt a simplified version of the Multi-Scale Analysis presented in \cite{C11} to multi-particle tight-binding Anderson models. Combined with a recent eigenvalue concentration bound for multi-particle systems \cite{C10}, the new method leads to a simple proof of the multi-particle dynamical localization with more optimal decay bounds on eigenfunctions than in \cite{CS09b,AW09a,AW09b}, for a large class of strongly mixing random potentials. All earlier results required the random potential to be IID. We also extend the result on multi-particle localization to models with a rapidly decaying interaction.

Affiliated with

Also associated with

No associations

Rating

Direct Scaling Analysis of localization in disordered systems. II. Multi-particle lattice systems 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 Direct Scaling Analysis of localization in disordered systems. II. Multi-particle lattice systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Direct Scaling Analysis of localization in disordered systems. II. Multi-particle lattice systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-414271