Mixed-spin cluster expansion for a quasi-one-dimensional Haldane system

Details Mixed-spin cluster expansion for a quasi-one-dimensional Haldane system Mixed-spin cluster expansion for a quasi-one-dimensional Haldane system

1999-08-20

arxiv.org/abs/cond-mat/9908289v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, submitted to Phys. Rev. Lett

Scientific paper

We present a novel mixed-spin cluster expansion method for a quasi-one-dimensional Haldane system with bond alternation. By mapping the s=1 antiferromagnetic spin model on square and cubic lattices to the equivalent mixed-spin model, we study the competition among the Haldane, the dimer and the magnetically ordered phases. The mixed-spin cluster expansion proposed here allows us to directly deal with the Haldane phase, which may not be reached by standard series expansion methods. The phase diagram is determined rather precisely by making use of an additional symmetry property in the effective mixed-spin model introduced.

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