The solvable generalized chiral Potts model can be interpreted as a three-dimensional lattice model with local interactions. To within a minor modification of the boundary conditions it is an Ising type model with the specific two- and three-spin interactions on the body centered cubic lattice....

The exactly solvable N-state chiral Potts model differs from previous solvable lattice models in that its mathematics leads to hyperelliptic rather than ordinary elliptic functions. It is still an open question whether these hyperelliptic functions provide a useful computational tool: in...

This is the third in a series of papers in which we set up and discuss the functional relations for the “split rapidity line” correlation function in the N-state chiral Potts model. The order parameters of the model can be obtained from this function. Here we consider the case N=3 and write...

For two-dimensional lattice models with interactions only between nearest (and diagonally nearest) neighbour spins, a well-known concept is the row-to-row transfer matrix. Less well-known is the “corner” transfer matrix (CTM). This has some very useful properties. If it is normalized so that...