Bethe Ansatz solution of triangular trimers on the triangular lattice

Abstract

Details are presented of a recently announced exact solution of a model consisting of triangular trimers covering the triangular lattice. The solution involves a coordinate Bethe Ansatz with two kinds of particles. It is similar to that of the square-triangle random tiling model, due to M. Widom and P. A. Kalugin. The connection of the trimer model with related solvable models is discussed.

33 pages, LaTeX2e, 13 EPS figures, PSFrag

References in corpus (2)

• Triangular Trimers on the Triangular Lattice: an Exact Solution
• Bethe Ansatz solution of a decagonal rectangle triangle random tiling

Cited by in corpus (4)

• Trimer states with ${\mathbb{Z}}_3$ topological order in Rydberg atom arrays
• Random Sequential Covering
• Tilings of Benzels via the Abacus Bijection
• Tilings of Benzels via Generalized Compression