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Corner transfer matrices of the chiral Potts model

R. J. Baxter

Journal of Statistical PhysicsMay 1, 199119 citations

Analyticity and integrability in the chiral Potts model

Barry M. McCoy, William P. Orrick

arXiv:hep-th/9509004Journal of Statistical PhysicsJun 1, 199615 citations

The Integrable Chiral Potts Model: Quantum Group Methods Applied to Superintegrable Case

Jacques H. H. Perk, Helen Au-Yang

Bulletin of the American Physical SocietyMar 18, 20130 citations

Excitation spectrum and order parameter for the integrable N-state chiral Potts model

Giuseppe Albertini, Barry M. McCoy, Jacques H. H. Perk +1 more

Nuclear Physics BMar 1, 1989122 citations

The Baxter–Bazhanov–Stroganov model: separation of variables and the Baxter equation

G von Gehlen, N. Z. Iorgov, S Pakuliak +1 more

The Baxter-Bazhanov-Stroganov model (also known as the τ^(2) model) has attracted much interest because it provides a tool for solving the integrable chiral Z_N-Potts model. It can be formulated as a face spin model or via cyclic L-operators. Using the latter formulation and the Sklyanin-Kharchev-Lebedev approach, we give the explicit derivation of the eigenvectors of the component B_n(λ) of the monodromy matrix for the fully inhomogeneous chain of finite length. For the periodic chain we obtain the Baxter T-Q-equations via separation of variables. The functional relations for the transfer matrices of the τ^(2) model guarantee non-trivial solutions to the Baxter equations. For the N=2 case, which is free fermion point of a generalized Ising model, the Baxter equations are solved explicitly.The Baxter-Bazhanov-Stroganov model (also known as the τ^(2) model) has attracted much interest because it provides a tool for solving the integrable chiral Z_N-Potts model. It can be formulated as a face spin model or via cyclic L-operators. Using the latter formulation and the Sklyanin-Kharchev-Lebedev approach, we give the explicit derivation of the eigenvectors of the component B_n(λ) of the monodromy matrix for the fully inhomogeneous chain of finite length. For the periodic chain we obtain the Baxter T-Q-equations via separation of variables. The functional relations for the transfer matrices of the τ^(2) model guarantee non-trivial solutions to the Baxter equations. For the N=2 case, which is free fermion point of a generalized Ising model, the Baxter equations are solved explicitly.

arXiv:nlin/0603028Journal of Physics A Mathematical and GeneralMay 23, 200664 citations

Functional Equations and Fusion Matrices for the Eight Vertex Model

K. Fabricius, Barry M. McCoy

We derive sets of functional equations for the eight vertex model by exploiting an analogy with the functional equations of the chiral Potts model. From these equations we show that the fusion matrices have special reductions at certain roots of unity. We explicitly exhibit these reductions for the 3,4 and 5 order fusion matrices and compare our formulation with the algebra of Sklyanin.

arXiv:cond-mat/0311122Nov 6, 20030 citations

Explicit R-matrices for inhomogeneous 3D chiral Potts models: Integrability and the action formulation for IM

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