Abstract
Exact results are obtained for the annealed, dilute,q-component Potts model on the decorated square lattice. The phase diagram is found to consist of a high-temperature region, a low-temperature region, and a two-phase region in between which arises only forq>4: exact expressions for the phase boundary and the critical probability are derived. At the critical point the specific heat is generally finite and has a cusp; the slope of the cusp is finite forq=4 and infinite (vertical) forq=2 and 3.
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Work supported in part by NSF Grant No. DMR 78-18808.
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Wu, F.Y. Exact results for a dilute Potts model. J Stat Phys 23, 773–782 (1980). https://doi.org/10.1007/BF01008519
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DOI: https://doi.org/10.1007/BF01008519