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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevB.89.134422.pdf | 451.2 kB | Adobe PDF | 見る/開く |
タイトル: | Symmetry-protected topological order and negative-sign problem for SO(N) bilinear-biquadratic chains |
著者: | Okunishi, Kouichi Harada, Kenji https://orcid.org/0000-0003-0231-7880 (unconfirmed) |
著者名の別形: | 原田, 健自 |
発行日: | 23-Apr-2014 |
出版者: | American Physical Society |
誌名: | Physical Review B |
巻: | 89 |
号: | 13 |
論文番号: | 134422 |
抄録: | Using a generalized Jordan-Wigner transformation combined with the defining representation of the SO(N) spin, we map the SO(N) bilinear-biquadratic (BLBQ) spin chain into the N-color bosonic particle model. We find that, when the Jordan-Wigner transformation disentangles the symmetry-protected topological entanglement, this bosonic model becomes negative-sign-free in the context of quantum Monte Carlo simulation. For the SO(3) case, moreover, the Kennedy-Tasaki transformation for the S=1 BLBQ chain, which is also a topological disentangler, derives the same bosonic model through the dimer-R bases. We present the temperature dependence of the energy, entropy, and string order parameter for the SO(N=3, 4, 5) BLBQ chains by a world-line Monte Carlo simulation for the N-color bosonic particle model. |
著作権等: | ©2014 American Physical Society |
URI: | http://hdl.handle.net/2433/200789 |
DOI(出版社版): | 10.1103/PhysRevB.89.134422 |
出現コレクション: | 学術雑誌掲載論文等 |
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