Abstract
We consider the Heisenberg model with two- and three-spin exchange interactions on a recursive ladder in a strong magnetic field. Recurrent relations for branches of the partition function of the Ising model with two- and three-spin exchange interactions are deduced. As a recursive lattice the zigzag ladder is chosen. In the antiferromagnetic case magnetization plateau are observed at low temperatures. Lyapunov exponents for the three-dimensional mapping at low temperatures are calculated. It is shown that for some values of two- and three-spin exchange parameters in the antiferromagnetic case the maximum of the Lyapunov exponent approaches zero.
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Original Russian Text © V.V. Hovhannesyan, 2008, published in Izvestiya NAN Armenii, Fizika, 2008, Vol. 43, No. 6, pp. 461–467.
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Hovhannisyan, V.V. Multidimensional mappings in antiferromagnetic models and Lyapunov exponents with the magnetization plateau. J. Contemp. Phys. 43, 301–305 (2008). https://doi.org/10.3103/S106833720806008X
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DOI: https://doi.org/10.3103/S106833720806008X