Double transitions, non-Ising criticality and critical absorbing phase in an interacting monomer-dimer model on a square lattice:

摘要

We present a numerical study on an interacting monomer-dimer model withnearest neighbor repulsion on a square lattice, which possesses two symmetricabsorbing states. The model is observed to exhibit two nearby continuoustransitions: the $Z_2$ symmetry-breaking order-disorder transition and theabsorbing transition with directed percolation criticality. We find that thesymmetry-breaking transition shows a non-Ising critical behavior, and that theabsorbing phase becomes critical, in the sense that the critical decay of thedimer density observed at the absorbing transition persists even within theabsorbing phase. Our findings call for further studies on the microscopicmodels and corresponding continuum description belonging to the generalizedvoter universality class.