The hard-core partition function is zero-free in a complex neighborhood of [0, λ] for all λ below the connective constant threshold λ_c(μ).
Upper and lower bounds for the connective constants of self-avoiding walks on the archimedean and laves lattices.Journal of Physics A: Mathematical and General, 38(10):2055
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Zero-Freeness of the Hard-Core Model with Bounded Connective Constant
The hard-core partition function is zero-free in a complex neighborhood of [0, λ] for all λ below the connective constant threshold λ_c(μ).