Triangular trimers on the triangular lattice: An exact solution

Citation
A. Verberkmoes et B. Nienhuis, Triangular trimers on the triangular lattice: An exact solution, PHYS REV L, 83(20), 1999, pp. 3986-3989
Citations number
14
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
83
Issue
20
Year of publication
1999
Pages
3986 - 3989
Database
ISI
SICI code
0031-9007(19991115)83:20<3986:TTOTTL>2.0.ZU;2-O
Abstract
A model, consisting of triangular trimers on the triangular lattice is pres ented. In analogy to the dimer problem, these particles cover the lattice c ompletely without overlap. The model has a honeycomb structure of hexagonal cells separated by rigid domain walls. The transfer matrix call be diagona lized by a Bethe Ansatz with two types of particles. This leads to an exact expression for the entropy on a two-dimensional subset of the parameter sp ace.