Incommensurability and edge states in the one-dimensional S=1 bilinear-biquadratic model
| dc.creator | Murashima, Takahiro | |
| dc.creator | Nomura, Kiyohide | |
| dc.date | 2006-02-14 | |
| dc.date | 2006-05-02 | |
| dc.date.accessioned | 2026-07-07T07:01:43Z | |
| dc.date.available | 2026-07-07T07:01:43Z | |
| dc.description | Commensurate-incommensurate change on the one-dimensional S=1 bilinear-biquadratic model (${\cal H}(α)=\sum_i \{{\bf S}_i\cdot {\bf S}_{i+1} +α({\bf S}_i\cdot{\bf S}_{i+1})^2\}$) 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, $α=1/3$). 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. | |
| dc.description | 29 pages, 15 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0602336 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0602336 | |
| dc.identifier | Phys. Rev. B, Vol. 73, p.214431 (2006) | |
| dc.identifier | doi:10.1103/PhysRevB.73.214431 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108359 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Incommensurability and edge states in the one-dimensional S=1 bilinear-biquadratic model | |
| dc.type | text |