Coupling of hard dimers to dynamical lattices via random tensors

Details Coupling of hard dimers to dynamical lattices via random tensors Coupling of hard dimers to dynamical lattices via random tensors

2012-04-17

arxiv.org/abs/1204.3798v1

Physics

Condensed Matter

Statistical Mechanics

12 pages

Scientific paper

We study hard dimers on dynamical lattices in arbitrary dimensions using a random tensor model. The set of lattices corresponds to triangulations of the d-sphere and is selected by the large N limit. For small enough dimer activities, the critical behavior of the continuum limit is the one of pure random lattices. We find a negative critical activity where the universality class is changed as dimers become critical, in a very similar way hard dimers exhibit a Yang-Lee singularity on planar dynamical graphs. Critical exponents are calculated exactly. An alternative description as a system of `color-sensitive hard-core dimers' on random branched polymers is provided.

Affiliated with

Also associated with

No associations

Rating

Coupling of hard dimers to dynamical lattices via random tensors 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 Coupling of hard dimers to dynamical lattices via random tensors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coupling of hard dimers to dynamical lattices via random tensors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-290054