Some remarks on a generalization of the superintegrable chiral Potts model

Details Some remarks on a generalization of the superintegrable chiral Potts model Some remarks on a generalization of the superintegrable chiral Potts model

2009-06-18

arxiv.org/abs/0906.3551v1

J. Stat. Phys. 137, 798 - 813 (2009)

Physics

Condensed Matter

Statistical Mechanics

18 pages, one figure

Scientific paper

The spontaneous magnetization of a two-dimensional lattice model can be expressed in terms of the partition function $W$ of a system with fixed boundary spins and an extra weight dependent on the value of a particular central spin. For the superintegrable case of the chiral Potts model with cylindrical boundary conditions, W can be expressed in terms of reduced hamiltonians H and a central spin operator S. We conjectured in a previous paper that W can be written as a determinant, similar to that of the Ising model. Here we generalize this conjecture to any Hamiltonians that satisfy a more general Onsager algebra, and give a conjecture for the elements of S.

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