Bethe ansatz solution of triangular trimers on the triangular lattice - art. no. 066122

Authors
Verberkmoes, A Nienhuis, B
Citation
A. Verberkmoes et B. Nienhuis, Bethe ansatz solution of triangular trimers on the triangular lattice - art. no. 066122, PHYS REV E, 6306(6), 2001, pp. 6122
Citations number
29
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6306
Issue
6
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200106)6306:6<6122:BASOTT>2.0.ZU;2-E
Abstract
Recently, a model consisting of triangular trimers covering the triangular lattice was introduced and its exact free energy given. In this paper we pr esent the complete calculation leading to this exact result. The solution i nvolves a coordinate Bethe ansatz with two kinds of particles. It is simila r to that of the square-triangle random tiling model by Widom and Kalugin. The connection of the trimer model with related solvable models is discusse d.