Coexistence of Partially Disordered/Ordered Phases in an Extended Potts Model

摘要: We consider a generalization of the standard Potts model in which there are q=r+s states with an interaction that distinguishes two subspecies. develop graphical representation (of FK type) for system and show this may be incorporated directly into reflection positivity arguments. Using combinations these techniques, we establish detailed properties phase diagram including existence sharp triple points. Whenever relevant, phases characterized by percolation underlying representation.