Loop-Cluster Coupling and Algorithm for Classical Statistical Models
Loop-Cluster Coupling and Algorithm for Classical Statistical Models
Potts spin systems play a fundamental role in statistical mechanics and quantum field theory and can be studied within the spin, the Fortuin--Kasteleyn (FK) bond or the $q$-flow (loop) representation. We introduce a Loop-Cluster (LC) joint model of bond-occupation variables interacting with $q$-flow variables and formulate an LC algorithm that …