Asymptotically degenerate maximum eigenvalues of the eight-vertex model transfer matrix and interfacial tension
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Abstract: (Springer)
We obtain complex nonlinear integral equations for the two asymptotically degenerate maximum eigenvalues of the transfer matrix of the eight-vertex model. These are exact for a lattice of a finite numberN of columns. Solving the equations recursively gives an expansion of the eigenvalues aboutN = ∞. Thus we can obtain the interfacial tension of the model, as well as rederiving our previous result for the free energy.References(0)
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