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Lattice chains, Bethe Ansatz and polynomials for energies E of ground and excited states

Published May 30, 2016• 0 citations
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DOI
10.1142/9789813140158_0014

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A Bethe Ansatz study of a self dual ZN spin model is undertaken for even spin system. One has to solve a coupled system of Bethe Ansatz Equations (BAE) involving zeroes of two families of transfer matrices. A numerical study on finite size lattices is done for identification of elementary excitations over the Ferromagnetic and Antiferromagnetic ground states. The free energies for both Ferromagnetic and Antiferromagnetic ground states and dispersion relation for elementary excitations are found. I.