O. Redner et al., GRAPHICAL REPRESENTATIONS AND CLUSTER ALGORITHMS FOR CRITICAL-POINTS WITH FIELDS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(3), 1998, pp. 2749-2752
A two-replica graphical representation and associated cluster algorith
m are described that are applicable to ferromagnetic Ising systems wit
h arbitrary fields. Critical points are associated with the percolatio
n threshold of the graphical representation. Results from numerical si
mulations of the Ising model in a staggered field are presented. For t
his case, the dynamic exponent for the algorithm is measured to be les
s than 0.5.