2000年3月
Quantum phase transitions for the Haldane system in higher dimensions: A mixed-spin cluster expansion approach
PHYSICAL REVIEW B
- ,
- 巻
- 61
- 号
- 9
- 開始ページ
- 6133
- 終了ページ
- 6137
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1103/PhysRevB.61.6133
- 出版者・発行元
- AMER PHYSICAL SOC
We present a mixed-spin cluster expansion method to discuss the quantum phase transitions for the Haldane system in two and three dimensions. 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 realizes the notion of the valence bond solid in a perturbation theory. This method allows us to directly deal with the Haldane phase, which may not be reached by standard series expansion methods. The zero-temperature phase diagram is thus determined rather precisely for the two- and three-dimensional Haldane systems.
- リンク情報
- ID情報
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- DOI : 10.1103/PhysRevB.61.6133
- ISSN : 1098-0121
- eISSN : 1550-235X
- Web of Science ID : WOS:000085707100056