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Haldane Gaps of Large-S Heisenberg Antiferromagnetic Chains and Asymptotic Behavior
https://repo.qst.go.jp/records/79102
https://repo.qst.go.jp/records/791027f53e228-f131-4842-8404-970daeec5628
| Item type | 学術雑誌論文 / Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2020-03-01 | |||||
| タイトル | ||||||
| タイトル | Haldane Gaps of Large-S Heisenberg Antiferromagnetic Chains and Asymptotic Behavior | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| アクセス権 | ||||||
| アクセス権 | metadata only access | |||||
| アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
| 著者 |
Nakano, Hiroki
× Nakano, Hiroki× Todoroki, N.× Sakai, Toru× Toru, Sakai |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The one-dimensional Heisenberg antiferromagnets of large-integer-S spins are studied; their Haldane gaps are estimated by the numerical diagonalization method for S = 5 and 6. We successfully obtain a monotonically increasing sequence of finite-size energy difference data corresponding to the Haldane gaps from the huge-scale parallel calculations of diagonalization under the twisted boundary condition and create a monotonically decreasing sequence within the range of system sizes treated in this study from the monotonically increasing sequence. Consequently, the gaps for S = 5 and 6 are estimated to be 0.000050 ± 0.000005 and 0.0000030 ± 0.0000005, respectively. The asymptotic formula of the Haldane gap for S → ∞ is examined from the new estimates to determine the coefficient in the formula more precisely. | |||||
| 書誌情報 |
Journal of the Physical Society of Japan 巻 88, 号 10, p. 114702-1-114702-4, 発行日 2019-10 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 0031-9015 | |||||
| DOI | ||||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | 10.7566/JPSJ.88.114702 | |||||
| 関連サイト | ||||||
| 識別子タイプ | URI | |||||
| 関連識別子 | https://journals.jps.jp/doi/full/10.7566/JPSJ.88.114702 | |||||
