Bounds on the capacity of recoverable systems on the triangular lattice are derived, with non-uniqueness of Gibbs measures shown in the high-activity regime and extremal periodic Gibbs measures characterized for low activity in the maximal hard-core model.
An alternate version of Pirogov-Sinai theory,
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Recoverable systems and the maximal hard-core model on the triangular lattice
Bounds on the capacity of recoverable systems on the triangular lattice are derived, with non-uniqueness of Gibbs measures shown in the high-activity regime and extremal periodic Gibbs measures characterized for low activity in the maximal hard-core model.