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Recently, Sellmann et al. [Phys. Rev. B 91, 081104(R) (2015)] claimed that the π-coplanar phase is absent for S=1/2 from an exact-diagonalization analysis in the sector of the Hilbert space with only three down-spins (three magnons). We first reconsider and improve this analysis by taking into account several low-lying eigenvalues and the associated eigenstates as a function of J/Jz and by sensibly increasing the system sizes (up to 1296 spins). A careful identification analysis shows that the lowest eigenstate is a chirally antisymmetric combination of finite-size umbrella states for J/Jz≳2.218 while it corresponds to a coplanar phase for J/Jz≲2.218. However, we demonstrate that the distinction between 0-coplanar and π-coplanar phases in the latter region is fundamentally impossible from the symmetry-preserving finite-size calculations with fixed magnon number. Therefore, we also perform a cluster mean-field plus scaling analysis for small spins S≤3/2. 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Exact diagonalization and cluster mean-field study of triangular-lattice XXZ antiferromagnets near saturation
https://oist.repo.nii.ac.jp/records/689
https://oist.repo.nii.ac.jp/records/689f81a52be-c62b-4d52-8790-f837a41beada
名前 / ファイル | ライセンス | アクション |
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PhysRevB.96.014431 (6.1 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-08-24 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Exact diagonalization and cluster mean-field study of triangular-lattice XXZ antiferromagnets near saturation | |||||
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 | |||||
著者(英) |
Yamamoto, Daisuke
× Yamamoto, Daisuke× Ueda, Hiroshi× Danshita, Ippei× Marmorini, Giacomo× Momoi, Tsutomu× Shimokawa, Tokuro |
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書誌情報 |
en : Physical Review B 巻 96, 号 1, p. 014431, 発行日 2017-07-25 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Quantum magnetic phases near the magnetic saturation of triangular-lattice antiferromagnets with XXZ anisotropy have been attracting renewed interest since it has been suggested that a nontrivial coplanar phase, called the π-coplanar or Ψ phase, could be stabilized by quantum effects in a certain range of anisotropy parameter J/Jz besides the well-known 0-coplanar (known also as V) and umbrella phases. Recently, Sellmann et al. [Phys. Rev. B 91, 081104(R) (2015)] claimed that the π-coplanar phase is absent for S=1/2 from an exact-diagonalization analysis in the sector of the Hilbert space with only three down-spins (three magnons). We first reconsider and improve this analysis by taking into account several low-lying eigenvalues and the associated eigenstates as a function of J/Jz and by sensibly increasing the system sizes (up to 1296 spins). A careful identification analysis shows that the lowest eigenstate is a chirally antisymmetric combination of finite-size umbrella states for J/Jz≳2.218 while it corresponds to a coplanar phase for J/Jz≲2.218. However, we demonstrate that the distinction between 0-coplanar and π-coplanar phases in the latter region is fundamentally impossible from the symmetry-preserving finite-size calculations with fixed magnon number. Therefore, we also perform a cluster mean-field plus scaling analysis for small spins S≤3/2. The obtained results, together with the previous large-S analysis, indicate that the π-coplanar phase exists for any S except for the classical limit (S→∞) and the existence range in J/Jz is largest in the most quantum case of S=1/2. (Some mathematical expressions are not properly displayed. Please use the attachment.) |
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出版者 | ||||||
出版者 | American Physical Society | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2469-9969 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2469-9950 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1103/PhysRevB.96.014431 | |||||
権利 | ||||||
権利情報 | ©2017 American Physical Society | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.014431#fulltext | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |