Please use this identifier to cite or link to this item: http://repositorio.ufla.br/jspui/handle/1/39702
Title: A set of exactly solvable Ising models with half-odd-integer spin
Keywords: Mathematical physics
Two-dimensional
Ising model
Exact results
Issue Date: Mar-2009
Publisher: Elsevier
Citation: ROJAS, O.; SOUZA, S. M. de. A set of exactly solvable Ising models with half-odd-integer spin. Physics Letters A, [S.l.], v. 373, n. 15, p. 1321-1324, Mar. 2009. DOI: 10.1016/j.physleta.2009.02.020.
Abstract: We present a set of exactly solvable Ising models, with half-odd-integer spin-S on a square-type lattice including a quartic interaction term in the Hamiltonian. The particular properties of the mixed lattice, associated with mixed half-odd-integer spin-(S,1/2) and only nearest-neighbor interaction, allow us to map this system either onto a purely spin-1/2 lattice or onto a purely spin-S lattice. By imposing the condition that the mixed half-odd-integer spin-(S,1/2) lattice must have an exact solution, we found a set of exact solutions that satisfy the free fermion condition of the eight vertex model. The number of solutions for a general half-odd-integer spin-S is given by S+1/2. Therefore we conclude that this transformation is equivalent to a simple spin transformation which is independent of the coordination number.
URI: https://www.sciencedirect.com/science/article/abs/pii/S037596010900187X
http://repositorio.ufla.br/jspui/handle/1/39702
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