The exact solution of an octagonal rectangle triangle random tiling
solv-int
2015-06-26 v1 凝聚态物理
可精确求解与可积系统
摘要
We present a detailed calculation of the recently published exact solution of a random tiling model possessing an eight-fold symmetric phase. The solution is obtained using Bethe Ansatz and provides closed expressions for the entropy and phason elastic constants. Qualitatively, this model has the same features as the square-triangle random tiling model. We use the method of P. Kalugin, who solved the Bethe Ansatz equations for the square-triangle tiling, which were found by M. Widom.
关键词
引用
@article{arxiv.solv-int/9610009,
title = {The exact solution of an octagonal rectangle triangle random tiling},
author = {Jan de Gier and Bernard Nienhuis},
journal= {arXiv preprint arXiv:solv-int/9610009},
year = {2015}
}
备注
26 pages, LaTeX, including 5 figures, to appear in J. Stat. Phys