Topological Non--connectivity Threshold in long-range spin systems

Details Topological Non--connectivity Threshold in long-range spin systems Topological Non--connectivity Threshold in long-range spin systems

2005-05-09

arxiv.org/abs/cond-mat/0505209v2

Physics

Condensed Matter

Statistical Mechanics

submitted to PRE

Scientific paper

We demonstrate the existence of a topological disconnection threshold, recently found in Ref. \cite{JSP}, for generic $1-d$ anisotropic Heisenberg models interacting with an inter--particle potential $R^{-\alpha}$ when $0<\alpha < 1$ (here $R$ is the distance among spins). We also show that if $\alpha $ is greater than the embedding dimension $d$ then the ratio between the disconnected energy region and the total energy region goes to zero when the number of spins becomes very large. On the other hand, numerical simulations in $d=2,3$ for the long-range case $\alpha < d$ support the conclusion that such a ratio remains finite for large $N$ values. The disconnection threshold can thus be thought as a distinctive property of anisotropic long-range interacting systems.

Affiliated with

Also associated with

No associations

Rating

Topological Non--connectivity Threshold in long-range spin 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 Topological Non--connectivity Threshold in long-range spin systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological Non--connectivity Threshold in long-range spin systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3516