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

Takahiro Murashima, Kiyohide Nomura

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13 Citations (Scopus)


Commensurate-incommensurate change on the one-dimensional S=1 bilinear-biquadratic model [H (α) = Σi { Si · Si+1 +α (Si · Si+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, α=1/3). There have been two different analytical predictions about the static structure factor in the neighborhood of this point. By using the Sørensen-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.

Original languageEnglish
Article number214431
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number21
Publication statusPublished - 2006

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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