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

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

2011-03-07

arxiv.org/abs/1103.1222v3

JSTAT (2011) L06001

Physics

Condensed Matter

Statistical Mechanics

to be published in JSTAT

Scientific paper

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

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