Monomer-Dimer Mixture on a Honeycomb Lattice

Abstract

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 ${\mathcal{M}}_5$ and ${\mathcal{M}}_6$ 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.

5 pages, 3 figures

References in corpus (8)

• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Why spin ice obeys the ice rules
• Observation of Magnetic Monopoles in Spin Ice
• Interacting classical dimers on the square lattice
• Magnetization process of spin ice in a [111] magnetic field
• Kagomé ice state in the dipolar spin ice Dy_{2}Ti_{2}O_{7}
• Quantum criticality, lines of fixed points, and phase separation in doped two-dimensional quantum dimer models
• Classical dimer model with anisotropic interactions on the square lattice