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Affleck, I., Kennedy, T., Lieb, E.H. and Tasaki, H. (1987) Rigorous results on valence-bond ground states in antiferromagnets. Physical Review Letters, 59, 799.

has been cited by the following article:

• TITLE: Excitations for the one-dimensional S = 1 pseudo-Heisenberg antiferromagnetic chain

  AUTHORS: Elena V. Orlenko, Fedor E. Orlenko, George G. Zegrya

  KEYWORDS: Pseudo-Heisenberg Hamiltonian; Antiferromagnetic Spin-1 Chain; Soliton Excitations

  JOURNAL NAME: Natural Science, Vol.2 No.11, November 30, 2010

  ABSTRACT: We are interested in the anisotropic S=1 antiferromagnetic chain. System of particles with an arbitrary spin is described directly from the first principles, based on the symmetry law. The ground state of the one-dimensional S=1 pseudo-Heisenberg antiferromagnet with single-ion anisotropy is calculated. Excitations of the chain in the form of nonlinear spin waves and, in particular, the possibility of a soliton solution is considered.