G von Gehlen et al 2006 J. Phys. A: Math. Gen. 39 7257 doi:10.1088/0305-4470/39/23/006
The Baxter–Bazhanov–Stroganov model: separation of variables and the Baxter equation
G von Gehlen1, N Iorgov2, S Pakuliak3,4 and V Shadura2
Show affiliationsThe 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 
-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 Bn(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 nontrivial solutions to the Baxter equations. For the N = 2 case, which is the free fermion point of a generalized Ising model, the Baxter equations are solved explicitly.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
75.10.Jm Quantized spin models
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
- Dates
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Issue 23 (9 June 2006)
Received 12 March 2006
Published 23 May 2006
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The Baxter–Bazhanov–Stroganov model: separation of variables and the Baxter equation
G von Gehlen et al 2006 J. Phys. A: Math. Gen. 39 7257
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