Monomer-Dimer Mixture on a Honeycomb Lattice

Details Monomer-Dimer Mixture on a Honeycomb Lattice Monomer-Dimer Mixture on a Honeycomb Lattice

2011-04-04

arxiv.org/abs/1104.0467v2

Phys. Rev. Lett. 106, 227204 (2011)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.106.227204

We study a monomer-dimer mixture defined on a honeycomb lattice as a toy model for the spin ice system in a magnetic field. In a low-doping region of monomers, the effective description of this system is given by the dual sine-Gordon model. In intermediate- and strong-doping regions, the Potts lattice gas theory can be employed. Synthesizing these results, we construct a renormalization-group flow diagram, which includes the stable and unstable fixed points corresponding to ${\cal M}_5$ and ${\cal M}_6$ in the minimal models of the conformal field theory. We perform numerical transfer-matrix calculations to determine a global phase diagram and also to proffer evidence to check our prediction.

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