Triangular Trimers on the Triangular Lattice: an Exact Solution

Alain Verberkmoes, Bernard Nienhuis

Published 1999-04-23Version 1

A model is presented consisting of triangular trimers on the triangular lattice. In analogy to the dimer problem, these particles cover the lattice completely without overlap. The model has a honeycomb structure of hexagonal cells separated by rigid domain walls. The transfer matrix can be diagonalised by a Bethe Ansatz with two types of particles. This leads two an exact expression for the entropy on a two-dimensional subset of the parameter space.