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The symmetry of the Bazhanov–Stroganov model associated with the superintegrable chiral Potts model

Akinori Nishino, Tetsuo Deguchi

arXiv:cond-mat/0605551Physics Letters AMar 31, 200632 citations

The Bazhanov–Stroganov model from 3D approach

G von Gehlen, Stanislav Zdislavovich Pakuliak, С. М. Сергеев

We apply a 3-dimensional approach to describe a new parametrization of the L-operators for the 2-dimensional Bazhanov-Stroganov (BS) integrable spin model related to the chiral Potts model. This parametrization is based on the solution of the associated classical discrete integrable system. Using a 3-dimensional vertex satisfying a modified tetrahedron equation, we construct an operator which generalizes the BS quantum intertwining matrix S. This operator describes the isospectral deformations of the integrable BS model.We apply a 3-dimensional approach to describe a new parametrization of the L-operators for the 2-dimensional Bazhanov-Stroganov (BS) integrable spin model related to the chiral Potts model. This parametrization is based on the solution of the associated classical discrete integrable system. Using a 3-dimensional vertex satisfying a modified tetrahedron equation, we construct an operator which generalizes the BS quantum intertwining matrix S. This operator describes the isospectral deformations of the integrable BS model.

arXiv:nlin/0505019Journal of Physics A Mathematical and GeneralAug 3, 20058 citations

A Conjecture for the Superintegrable Chiral Potts Model

R. J. Baxter

arXiv:0803.4037Journal of Statistical PhysicsJul 15, 200812 citations

A perturbative approach to spectrum and correlation functions of the chiral Potts model

A. Honecker

Journal of Statistical PhysicsFeb 1, 19964 citations

Form-factors in the Baxter–Bazhanov–Stroganov model I: norms and matrix elements

G von Gehlen, N. Z. Iorgov, Stanislav Zdislavovich Pakuliak +2 more

We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model using the method of separation of variables [nlin/0603028]. In this paper we calculate the norms and matrix elements of a local Z_N-spin operator between eigenvectors of the auxiliary problem. For the norm the multiple sums over the intermediate states are performed explicitly. In the case N=2 we solve the Baxter equation and obtain form-factors of the spin operator of the periodic Ising model on a finite lattice.

arXiv:0708.4342Journal of Physics A Mathematical and TheoreticalNov 6, 200734 citations

The chiral Potts models revisited

Helen Au-Yang, Jacques H. H. Perk

arXiv:cond-mat/9407106Journal of Statistical PhysicsJan 1, 199511 citations

On the Form Factors of Local Operators in the Bazhanov–Stroganov and Chiral Potts Models

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