Abstract
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 language | English |
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Article number | 214431 |
Journal | Physical Review B - Condensed Matter and Materials Physics |
Volume | 73 |
Issue number | 21 |
DOIs | |
Publication status | Published - 2006 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics