Schwinger-Boson Mean Field Solution of Spin-1 (or 1/2) 2D Anisotropic Heisenberg Antiferromagnet

Details Schwinger-Boson Mean Field Solution of Spin-1 (or 1/2) 2D Anisotropic Heisenberg Antiferromagnet Schwinger-Boson Mean Field Solution of Spin-1 (or 1/2) 2D Anisotropic Heisenberg Antiferromagnet

2003-01-29

arxiv.org/abs/cond-mat/0301570v1

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 3 figures, 14 references

Scientific paper

Using the Resonant Valence Bond (RVB) concept and the Schwinger-boson mean field approximation, we investigate a two dimensional anisotropic Heisenberg antiferromagnet. We find that increasing the coupling ratio ($\alpha=J_{y}/J_{x}$), a disordered-ordered phase transition appears beyond a critical value ($\alpha_{c}$). When $\alpha>\alpha_{c}$ there exists a finite $T_{N}$ beyond which an ordered-disordered phase transition occurs, while for $\alpha<\alpha_{c}$ there always exists a gap. Also we find that a decoupling temperature $T_{D}$ exists for 1D and 2D isotropic case, when $T$ approaches $T_{D}$ the RVB order parameter decreases rapidly to zero.

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