Integrability of the square-triangle random tiling model

Details Integrability of the square-triangle random tiling model Integrability of the square-triangle random tiling model

Apr 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrve..55.3926d&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 55, Issue 4, April 1997,

Physics

3

Scientific paper

It is shown that the square-triangle random tiling model is equivalent to an asymmetric limit of the three coloring model on the honeycomb lattice. The latter model is known to be the O(n) model at T=0 and corresponds to the integrable model connected to the affine A(1)2 Lie algebra. Thus it is shown that the weights of the square-triangle random tiling satisfy the Yang-Baxter equation, albeit in a singular limit of a more general model. The three coloring model for general vertex weights is solved by an algebraic Bethe ansatz.

Affiliated with

Also associated with

No associations

Rating

Integrability of the square-triangle random tiling 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 Integrability of the square-triangle random tiling model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrability of the square-triangle random tiling model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1322881