Critical interfaces and duality in the Ashkin Teller model

Details Critical interfaces and duality in the Ashkin Teller model Critical interfaces and duality in the Ashkin Teller model

2010-11-04

arxiv.org/abs/1011.1159v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

We report on the numerical measures on different spin interfaces and FK cluster boundaries in the Askhin-Teller (AT) model. For a general point on the AT critical line, we find that the fractal dimension of a generic spin cluster interface can take one of four different possible values. In particular we found spin interfaces whose fractal dimension is d_f=3/2 all along the critical line. Further, the fractal dimension of the boundaries of FK clusters were found to satisfy all along the AT critical line a duality relation with the fractal dimension of their outer boundaries. This result provides a clear numerical evidence that such duality, which is well known in the case of the O(n) model, exists in a extended CFT.

Affiliated with

Also associated with

No associations

Rating

Critical interfaces and duality in the Ashkin Teller model 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 Critical interfaces and duality in the Ashkin Teller model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical interfaces and duality in the Ashkin Teller model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145986