Schwinger boson mean field theory of the Heisenberg Ferrimagnetic Spin Chain

Details Schwinger boson mean field theory of the Heisenberg Ferrimagnetic Spin Chain Schwinger boson mean field theory of the Heisenberg Ferrimagnetic Spin Chain

1999-04-21

arxiv.org/abs/cond-mat/9904291v2

Phys. Rev. B, 60 1057(1999)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 5 figures. Accepted by Phys. Rev. B

Scientific paper

10.1103/PhysRevB.60.1057

The Schwinger boson mean field theory is applied to the quantum ferrimagnetic Heisenberg chain. There is a ferrimagnetic long range order in the ground state. We observe two branches of the low lying excitation and calculate the spin reduction, the gap of the antiferromagnetic branch, and the spin fluctuation at $T=0K$. These results agree with the established numerical results quite well. At finite temperatures, the long range order is destroyed because of the disappearance of the Bose condensation. The thermodynamic observables, such as the free energy, magnetic susceptibility, specific heat, and the spin correlation at $T>0K$, are calculated. The $T\chi_{uni}$ has a minimum at intermediate temperatures and the spin correlation length behaves as $T^{-1}$ at low temperatures. These qualitatively agree with the numerical results and the difference is small at low temperatures.

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