Theoretical and Numerical Study on the Quantum Spin Nematic Phase and Novel Transport of Frustrated Systems

• Project Area: J-Physics: Physics of conductive multipole systems
• Project/Area Number: 18H04330
• Research Category: Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
• Allocation Type: Single-year Grants
• Research Institution: University of Hyogo
• Principal Investigator: 坂井 徹 兵庫県立大学, 物質理学研究科, 教授 (60235116)
• Project Period (FY): 2018-04-01 – 2020-03-31
• Project Status: Completed (Fiscal Year 2019)
• Budget Amount: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000); Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
• Keywords: スピンネマティック / 量子スピン液体 / スピンギャップ / 量子スピン系 / フラストレーション / スピンラダー / スピンチューブ / スピンネマティック相 / フラストレーション系 / 多極子秩序 / スピンネマティック液体 / 磁気異方性

Outline of Annual Research Achievements

低次元量子スピン系において、従来の長距離秩序と量子スピン液体の中間ともいうべき量子スピンネマティック相が注目されている。とくに強磁性相互作用と反強磁性相互作用が競合する、一次元フラストレーション系において、スピン液晶、すなわちスピンネマティック相が実現することが、密度行列繰り込み群の計算により理論的に予測され、その候補物質の強磁場磁化過程で、この相と期待される新相が発見されたことから、実験・理論両面から精力的に研究されている。本研究では、多極子系の物理を主題とする当該新学術領域に貢献すべく、スピンの四極子秩序に相当するスピンネマティック相の理論的予測と検証実験の提案を目的として、低次元量子スピン系を中心に、数値対角化と有限サイズスケーリングの手法を適用して、理論的研究を進めた。その結果、容易軸型のシングル・イオン異方性を持つスピン１のスピンラダー系の磁化過程において、スピンネマティック相が実現することを理論予測することに成功した。この系では、上述のフラストレーション系と違って、低磁場でも実現することから、候補物質が見つかりさえすれば、検証実験は比較的容易に実施できるメリットがある。また、リング交換相互作用が働く３本鎖スピンチューブ系の基底状態において、スピンネマティック相が実現することも、理論的に判明した。３本鎖スピンチューブ系には、具体的な候補物質がいくつか知られており、検証実験を検討している段階である。この他にも複数のフラストレーション系において、新奇な量子相の理論的発見に成功している。これらの成果は、強相関電子系の国際会議等で発表するとともに、論文として出版した。また、２０２０年３月のアメリカ物理学会マーチミーティングで発表する予定であったが、新型コロナウイルス感染拡大の問題が起き、会議が中止となったため、航空券のキャンセル料を計上することとなった。

Research Progress Status

令和元年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

令和元年度が最終年度であるため、記入しない。

Research Products

• [Journal Article] Spin Nematic Phase of the Quantum Spin Nanotube (2020)
  • Author(s): Sakai Toru
  • Journal Title: JPS Conference Proceedings Volume: 29
  • DOI: 10.7566/jpscp.29.014004
  • Peer Reviewed / Open Access
• [Journal Article] Spin Nematic Liquids of the S = 1 Spin Ladder in Magnetic Field (2020)
  • Author(s): Sakai Toru、Okamoto Kiyomi
  • Journal Title: JPS Conference Proceedings Volume: 30
  • DOI: 10.7566/jpscp.30.011083
  • Peer Reviewed / Open Access
• [Journal Article] Ground-State Phase Diagram of an Anisotropic S = 1 Ferromagnetic?Antiferromagnetic Bond-Alternating Chain (2020)
  • Author(s): Okamoto Kiyomi、Tonegawa Takashi、Kaburagi Makoto、Sakai Toru
  • Journal Title: JPS Conference Proceedings Volume: 30
  • DOI: 10.7566/jpscp.30.011024
  • Peer Reviewed / Open Access
• [Journal Article] Quantum Phase Transition of the Twisted Spin Tube (2020)
  • Author(s): Tachibana Yuta、Ueno Yuki、Zenda Tomosuke、Okamoto Kiyomi、Sakai Toru
  • Journal Title: JPS Conference Proceedings Volume: 30
  • DOI: 10.7566/jpscp.30.011082
  • Peer Reviewed / Open Access
• [Journal Article] Quantum Phase Transitions of the Distorted Diamond Spin Chain (2020)
  • Author(s): Zenda Tomosuke、Tachibana Yuta、Ueno Yuki、Okamoto Kiyomi、Sakai Toru
  • Journal Title: JPS Conference Proceedings Volume: 30
  • DOI: 10.7566/jpscp.30.011084
  • Peer Reviewed / Open Access
• [Journal Article] Magnetization Plateau of the Distorted Diamond Spin Chain (2020)
  • Author(s): Ueno Yuki、Zenda Tomosuke、Tachibana Yuta、Okamoto Kiyomi、Sakai T?ru
  • Journal Title: JPS Conference Proceedings Volume: 30
  • DOI: 10.7566/jpscp.30.011085
  • NAID: 130008152920
  • Peer Reviewed / Open Access
• [Journal Article] Features of Chirality Generated by Paramagnetic Coupling to Magnetic Fields in the 3?K-Phase of Sr2RuO4 (2020)
  • Author(s): Kaneyasu Hirono、Enokida Yuya、Nomura Takuji、Hasegawa Yasumasa、Sakai Toru、Sigrist Manfred
  • Journal Title: JPS Conference Proceedings Volume: 30
  • DOI: 10.7566/jpscp.30.011039
  • Peer Reviewed / Open Access
• [Journal Article] Analysis of Rashba Effect on Au(111) Model Surface (2019)
  • Author(s): Fujiwara Masaki、Shima Nobuyuki、Makoshi Kenji、Sakai Toru
  • Journal Title: Journal of the Physical Society of Japan Volume: 88 Issue: 3 Pages: 034604-034604
  • DOI: 10.7566/jpsj.88.034604
  • Peer Reviewed
• [Journal Article] From kagome strip to kagome lattice: Realizations of frustrated S=12 antiferromagnets in Ti(III) fluorides (2019)
  • Author(s): Jeschke Harald O.、Nakano Hiroki、Sakai T?ru
  • Journal Title: Physical Review B Volume: 99 Issue: 14 Pages: 1-5
  • DOI: 10.1103/physrevb.99.140410
  • Peer Reviewed
• [Journal Article] Magnetization plateau of the S=2 antiferromagnetic Heisenberg chain with anisotropies (2019)
  • Author(s): Sakai Toru、Okamoto Kiyomi、Tonegawa Takashi
  • Journal Title: Physical Review B Volume: 100 Issue: 5
  • DOI: 10.1103/physrevb.100.054407
  • Peer Reviewed
• [Journal Article] Two magnetization plateaus in the kagome fluoride Cs2LiTi3F12 (2019)
  • Author(s): Shirakami Ryu、Ueda Hiroaki、Jeschke Harald O.、Nakano Hiroki、Kobayashi Shintaro、Matsuo Akira、Sakai Toru、Katayama Naoyuki、Sawa Hiroshi、Kindo Koichi、Michioka Chishiro、Yoshimura Kazuyoshi
  • Journal Title: Physical Review B Volume: 100 Issue: 17 Pages: 1-7
  • DOI: 10.1103/physrevb.100.174401
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Field-Induced Spin Nematic Phase in the S=1 Anisotropic Spin Ladder (2019)
  • Author(s): Yamanokuchi Ryo、Okamoto Kiyomi、Sakai Toru
  • Journal Title: Proceedings of 2018 16th International Conference on Megagauss Magnetic Field Generation and Related Topics (MEGAGAUSS) Volume: 1 Pages: 1-4
  • DOI: 10.1109/megagauss.2018.8722674
  • Peer Reviewed / Open Access
• [Journal Article] Haldane Gaps of Large-S Heisenberg Antiferromagnetic Chains and Asymptotic Behavior (2019)
  • Author(s): Nakano Hiroki、Todoroki Norikazu、Sakai Toru
  • Journal Title: Journal of the Physical Society of Japan Volume: 88 Issue: 11 Pages: 1-4
  • DOI: 10.7566/jpsj.88.114702
  • NAID: 40022062695
  • Peer Reviewed / Open Access
• [Journal Article] Properties of the H-T phase diagram of the 3?K phase in eutectic Sr2RuO4-Ru: Evidence for chiral superconductivity (2019)
  • Author(s): Kaneyasu Hirono、Enokida Yuya、Nomura Takuji、Hasegawa Yasumasa、Sakai Toru、Sigrist Manfred
  • Journal Title: Physical Review B Volume: 100 Issue: 21
  • DOI: 10.1103/physrevb.100.214501
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with √3×√3-Type Distortion --- Behavior around the Boundaries of the Intermediate Phase (2018)
  • Author(s): Alisa Shimada, Hiroki Nakano, Toru Sakai, and Kazuyoshi Yoshimura
  • Journal Title: Journal of the Physical Society of Japan Volume: 87 Issue: 3 Pages: 034706-034706
  • DOI: 10.7566/jpsj.87.034706
  • NAID: 40021491789
  • Peer Reviewed / Open Access
• [Journal Article] The <i>S</i> = 1/2 Heisenberg Antiferromagnet on a Triangular Lattice with √3 × √3-Type Distortion—Magnetization Process and Magnetic Susceptibility— (2018)
  • Author(s): 嶋田ありさ, 中野博生, 坂井徹, 吉村一良
  • Journal Title: Journal of the Japan Society of Powder and Powder Metallurgy Volume: 65 Issue: 1 Pages: 3-9
  • DOI: 10.2497/jjspm.65.3
  • NAID: 130006336331
  • ISSN: 0532-8799, 1880-9014
  • Peer Reviewed
• [Journal Article] Quantum Spin Fluid Behaviors of the Kagome- and Triangular-Lattice Antiferromagnets (2018)
  • Author(s): Sakai Toru、Nakano Hiroki
  • Journal Title: Journal of Physics: Conference Series Volume: 969 Pages: 012127-012127
  • DOI: 10.1088/1742-6596/969/1/012127
  • Peer Reviewed / Open Access
• [Journal Article] Spontaneous Magnetization of the Spin-1/2 Heisenberg Antiferromagnet on the Triangular Lattice with a Distortion (2018)
  • Author(s): Shimada Alisa、Sakai Toru、Nakano Hiroki、Yoshimura Kazuyoshi
  • Journal Title: Journal of Physics: Conference Series Volume: 969 Pages: 012126-012126
  • DOI: 10.1088/1742-6596/969/1/012126
  • Peer Reviewed / Open Access
• [Journal Article] Gapless spin excitations in the S=1/2 Kagome- and triangular-lattice Heisenberg antiferromagnets (2018)
  • Author(s): Sakai Toru、Nakano Hiroki
  • Journal Title: Physica B: Condensed Matter Volume: 536 Pages: 85-88
  • DOI: 10.1016/j.physb.2017.08.058
  • Peer Reviewed
• [Journal Article] Numerical-Diagonalization Study of Magnetization Process of Frustrated Spin-1/2 Heisenberg Antiferromagnets in Two Dimensions: --- Triangular- and Kagome-Lattice Antiferromagnets --- (2018)
  • Author(s): Nakano Hiroki、Sakai Toru
  • Journal Title: Journal of the Physical Society of Japan Volume: 87 Issue: 6 Pages: 063706-063706
  • DOI: 10.7566/jpsj.87.063706
  • NAID: 40021617018
  • Peer Reviewed / Open Access
• [Journal Article] Precise Estimation of the S = 2 Haldane Gap by Numerical Diagonalization (2018)
  • Author(s): Nakano Hiroki、Sakai Toru
  • Journal Title: Journal of the Physical Society of Japan Volume: 87 Issue: 10 Pages: 105002-105002
  • DOI: 10.7566/jpsj.87.105002
  • NAID: 210000134993
  • Peer Reviewed / Open Access
• [Journal Article] Ground-State Phase Diagram of an Anisotropic S = 1/2 Ladder with Different Leg Interactions (2018)
  • Author(s): Tonegawa Takashi、Hikihara Toshiya、Okamoto Kiyomi、Furuya Shunsuke C.、Sakai Toru
  • Journal Title: Journal of the Physical Society of Japan Volume: 87 Issue: 10 Pages: 104002-104002
  • DOI: 10.7566/jpsj.87.104002
  • NAID: 210000134973
  • Peer Reviewed / Open Access
• [Journal Article] Third Boundary of the Shastry?Sutherland Model by Numerical Diagonalization (2018)
  • Author(s): Nakano Hiroki、Sakai Toru
  • Journal Title: Journal of the Physical Society of Japan Volume: 87 Issue: 12 Pages: 123702-123702
  • DOI: 10.7566/jpsj.87.123702
  • NAID: 40021751520
  • Peer Reviewed / Open Access
• [Journal Article] Ground state with nonzero spontaneous magnetization of the two-dimensional spin-1/2 Heisenberg antiferromagnet with frustration (2018)
  • Author(s): Sakai Toru、Nakano Hiroki
  • Journal Title: AIP Advances Volume: 8 Issue: 10 Pages: 101408-101408
  • DOI: 10.1063/1.5042780
  • Peer Reviewed / Open Access
• [Journal Article] Metamagnetic jump in the spin-1/2 antiferromagnetic Heisenberg model on the square kagome lattice (2018)
  • Author(s): Hasegawa Yasumasa、Nakano Hiroki、Sakai Toru
  • Journal Title: Physical Review B Volume: 98 Issue: 1
  • DOI: 10.1103/physrevb.98.014404
  • Peer Reviewed
• [Presentation] Numerical Diagonalization Study on Frustrated Quantum Spin Systems (2019)
  • Author(s): Sakai Toru
  • Organizer: Frontiers of Statistical Physocs
  • Int'l Joint Research / Invited
• [Presentation] Spin Nematic Liquid of Low-Dimensional Quantum Antiferromagnets (2019)
  • Author(s): Sakai Toru
  • Organizer: Frontiers of Correlated Electron Science
  • Int'l Joint Research
• [Presentation] Numerical Diagonalization Study on Frustrated Magnets (2019)
  • Author(s): Sakai Toru
  • Organizer: ISSP International Workshop “Computational Approach to Quantum Many Body Problems”
  • Int'l Joint Research
• [Presentation] Spin Nematic Liquid of the Spin Nanotube (2019)
  • Author(s): Sakai Toru
  • Organizer: J-Physics 2019 International Conference
  • Int'l Joint Research
• [Presentation] Spin Nematic Liquid of Low-Dimensional Magnets (2019)
  • Author(s): Sakai Toru
  • Organizer: International Conference on Strongly Correlated Electron Systems(SCES2019)
  • Int'l Joint Research
• [Presentation] Symmetry Protected Topological Phase of S=2 Quantum Spin Chain in Magnetic Field (2019)
  • Author(s): Sakai Toru
  • Organizer: International Conference on Topological Materials Science
  • Int'l Joint Research
• [Presentation] Magnetization Process of the Triangular- and Kagome-Lattice Antiferromagnets (2019)
  • Author(s): Toru Sakai
  • Organizer: American Physical Society March Meeting
  • Int'l Joint Research
• [Presentation] S=2反強磁性鎖の磁化プラトー (2019)
  • Author(s): 坂井徹
  • Organizer: 日本物理学会第74回年次大会
• [Presentation] フラストレーション系の量子スピンネマティック相 (2018)
  • Author(s): 坂井徹
  • Organizer: 新学術領域科研費J-Physics : 多極子系伝導系の物理 平成30年度領域全体会議
• [Presentation] The Numerical Study of Quantum Phase Transitions of the Heisenberg Antiferromagnet on a Frustrated Two Dimensional Lattice (2018)
  • Author(s): Toru Sakai
  • Organizer: International Conference on Magnetism (ICM2018)
  • Int'l Joint Research
• [Presentation] Exotic Quantum Spin Liquid of Kagome Lattice Antiferromagnet (2018)
  • Author(s): Toru Sakai
  • Organizer: International Conference on Coordination Chemistry (ICCC2018)
  • Int'l Joint Research
• [Presentation] Field Induced Spin Nematic Phase of Low Dimensional Magnets (2018)
  • Author(s): Toru Sakai
  • Organizer: The 16th International Conference on Megagauss Magnetic Field Generation and Related Topics
  • Int'l Joint Research
• [Presentation] Numerical Diagonalization Study on the Kagome-Lattice Antiferromagnet and related systems (2018)
  • Author(s): Toru Sakai
  • Organizer: Institute Laue-Langevin Seminar
  • Int'l Joint Research / Invited
• [Presentation] Numerical Diagonalization Study on Frustrated Quantum Spin Systems (2018)
  • Author(s): Toru Sakai
  • Organizer: Seminar of Field Theory and Condensed Matter
  • Int'l Joint Research / Invited
• [Presentation] Field Induced Spin Nematic Phases in Low Dimensional Quantum Antiferromagnets (2018)
  • Author(s): Toru Sakai
  • Organizer: International Workshop on j-fermion Physics and Materials
  • Int'l Joint Research
• [Remarks] 量子科学技術研究開発機構放射光科学研究センター量子シミュレーション研究グループ
  • URL: http://cmt.spring8.or.jp/index.shtml