Abstract
We use the self-consistent mean-field theory method to study the ground states of the quantum ferrimagnetic chain. This one-dimensional chain can be described by the Hamiltonian: H=∑ i [(S i·s j) λ+(s i·S j) λ] , where ( S i · s j ) λ = λ( S i x s j x + S i y s j y )+ S i z s j z . At the Heisenberg point ( λ=1), we observe two branches of the low lying excitation. We calculate the gap between the two excitation branches, the spin reduction and the spin fluctuation at T=0 K . We also give the correlation length at T=0 K . These results agree with the established numerical results quite well. We also calculate the ground-state energy and the excitation gap varying with the Ising anisotropy λ. It agrees quite well with quantum Monte Carlo approaches and fourth-order perturbation approaches.
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