Percolation and criticality of systems with competing interactions on Bethe lattices: limitations and potential strengths of cluster schemes

Greivin Alfaro Miranda, Mingyuan Zheng, Patrick Charbonneau +3

The random clusters introduced by Fortuin and Kasteleyn (FK) and analyzed by Coniglio and Klein (CK) for Ising and related models have led first Swendsen and Wang and then Wolff to…