Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method

Details Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method

2007-12-04

arxiv.org/abs/0712.0461v2

J. Phys. A: Math. Theor. 41 (2008) 125001

Physics

Condensed Matter

Statistical Mechanics

9 pages, 12 figures

Scientific paper

10.1088/1751-8113/41/12/125001

We study two-dimensional ferromagnetic Ising model on a series of regular lattices, which are represented as the tessellation of polygons with p>=5 sides, such as pentagons (p=5), hexagons (p=6), etc. Such lattices are on hyperbolic planes, which have constant negative scalar curvatures. We calculate critical temperatures and scaling exponents by use of the corner transfer matrix renormalization group method. As a result, the mean-field like phase transition is observed for all the cases p>=5. Convergence of the calculated transition temperatures with respect to p is investigated towards the limit p->infinity, where the system coincides with the Ising model on the Bethe lattice.

Affiliated with

Also associated with

No associations

Rating

Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method 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 Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-681464