Triangular Trimers on the Triangular Lattice: an Exact Solution

Details Triangular Trimers on the Triangular Lattice: an Exact Solution Triangular Trimers on the Triangular Lattice: an Exact Solution

1999-04-23

arxiv.org/abs/cond-mat/9904343v1

Physical Review Letters 83, 3986 (1999)

Physics

Condensed Matter

Statistical Mechanics

4 pages, REVTeX, 5 EPS figures

Scientific paper

10.1103/PhysRevLett.83.3986

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.

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