Exact Solution And Interfacial Tension Of The Six Vertex Model With Anti Periodic Boundary Conditions

Mathematics Research Report MRR95-012

Exact Solution And Interfacial Tension Of The Six Vertex Model With Anti Periodic Boundary Conditions

M.T. Batchelor, R.J. BaxterM.J. O'Rourke and C.M. Yung

Abstract: We consider the six-vertex model with anti-periodic boundary conditions across a finite strip. The row-to-row transfer matrix is diagonalised by the `commuting transfer matrices' method. From the exact solution we obtain an independent derivation of the interfacial tension of the six-vertex model in the anti-ferroelectric phase. The nature of the corresponding integrable boundary condition on the XXZ spin chain is also discussed.

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