Incommensurability and edge states in the one-dimensional S=1 bilinear-biquadratic model

Details Incommensurability and edge states in the one-dimensional S=1 bilinear-biquadratic model Incommensurability and edge states in the one-dimensional S=1 bilinear-biquadratic model

2006-02-14

arxiv.org/abs/cond-mat/0602336v2

Phys. Rev. B, Vol. 73, p.214431 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

29 pages, 15 figures

Scientific paper

10.1103/PhysRevB.73.214431

Commensurate-incommensurate change on the one-dimensional S=1 bilinear-biquadratic model (${\cal H}(\alpha)=\sum_i \{{\bf S}_i\cdot {\bf S}_{i+1} +\alpha ({\bf S}_i\cdot{\bf S}_{i+1})^2\}$) is examined. The gapped Haldane phase has two subphases (the commensurate Haldane subphase and the incommensurate Haldane subphase) and the commensurate-incommensurate change point (the Affleck-Kennedy-Lieb-Tasaki point, $\alpha=1/3$). There have been two different analytical predictions about the static structure factor in the neighborhood of this point. By using the S{\o}rensen-Affleck prescription, these static structure factors are related to the Green functions, and also to the energy gap behaviors. Numerical calculations support one of the predictions. Accordingly, the commensurate-incommensurate change is recognized as a motion of a pair of poles in the complex plane.

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