Pathology of Schwinger boson mean field theory for Heisenberg spin models

Details Pathology of Schwinger boson mean field theory for Heisenberg spin models Pathology of Schwinger boson mean field theory for Heisenberg spin models

2002-04-16

arxiv.org/abs/cond-mat/0204351v2

Phys. Rev. B 66, 104417 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages including 6 postscript figures

Scientific paper

10.1103/PhysRevB.66.104417

We have re-analyze the Schwinger boson mean field theory (SBMFT) for Heisenberg spin models on the cubic lattice. We find that the second order phase transition point for magnetic ordering previously reported corresponds to a local maximum of the free energy functional. For both ferromagnetic and antiferromagnetic Heisenberg models with spin $S \geq S_C$, where $S_C < 1/2$, the mean field transitions are first order from the magnetically long-ranged ordered phase to the completely uncorrelated phase. In addition to erroneously giving a first order transition for magnetic ordering, the mean field theory does not include a phase with finite short-range correlation, thus negating one of the prime advantages of SBMFT. The relevance of these pathologies to other situations beyond the cubic lattice is discussed.

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