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Theoretical Study to Observe the Spin Gap of the Kagome Lattice Antiferromagnet Using the Forbidden Transition of ESR

Research Project

Project/Area Number 16K05419
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Condensed matter physics II
Research InstitutionUniversity of Hyogo

Principal Investigator

Sakai Toru  兵庫県立大学, 物質理学研究科, 教授 (60235116)

Co-Investigator(Kenkyū-buntansha) 中野 博生  兵庫県立大学, 物質理学研究科, 助教 (00343418)
利根川 孝  神戸大学, 理学研究科, 名誉教授 (80028167)
Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords量子スピン系 / 量子スピン液体 / フラストレーション / カゴメ格子反強磁性体 / 電子スピン共鳴 / フラストレーション系 / スピンギャップ / ギャップレス / スピン液体 / 三角格子反強磁性体 / 禁制遷移 / 選択則
Outline of Final Research Achievements

The kagome-lattice antiferromagnet has attracted a lot of interest, because the quantum spin liquid is possibly realized in this system. Recently two different theoretical pictures were proposed for this system; One is the gapless U(1) Dirac spin liquid and the other is Z2 topological spin liquid with the spin gap. In order to determine which is correct, we considered the experimental method to observe the spin gap of the kagome-lattice antiferromagnet, using the electron spin resonace (ESR). The conventional ESR cannot detect the spin gap, because the ESR transition of the spin gap violate the spin conservation law. However, this forbidden transition is possible for the kagome-lattice antiferromagnet, because the system must have the Dzyaloshinsky-Moriya interaction. Using the numerical diagonalization of the theoretical model, we derived the selection rules of this forbidden ESR transiton and proosed the experiment to determine whether the system has the spin gap or not.

Academic Significance and Societal Importance of the Research Achievements

常温超伝導が実現すれば、大きなテクノロジーの革命につながることから、高温超伝導の開発が盛んにおこなわれている。この高温超伝導の一つのメカニズムとして、量子スピン液体が注目されている。その量子スピン液体を実現する有力候補物質として、カゴメ格子反強磁性体が取り上げられているが、この系のスピン液体の理論的描像は、まだ未解明である。本研究の成果により提案された、電子スピン共鳴を利用したスピンギャップの有無を解明する検証実験が実現すれば、この系を利用した高温超伝導開発の可能性が開け、将来の常温超伝導実現につながれば、重要な技術革新をもたらすであろう。

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (53 results)

All 2019 2018 2017 2016 Other

All Journal Article (24 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 24 results,  Open Access: 15 results,  Acknowledgement Compliant: 5 results) Presentation (28 results) (of which Int'l Joint Research: 19 results,  Invited: 6 results) Remarks (1 results)

  • [Journal Article] Analysis of Rashba Effect on Au(111) Model Surface2019

    • 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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] From kagome strip to kagome lattice: Realizations of frustrated S=12 antiferromagnets in Ti(III) fluorides2019

    • 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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with √3×√3-Type Distortion --- Behavior around the Boundaries of the Intermediate Phase2018

    • 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

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • 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
    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quantum Spin Fluid Behaviors of the Kagome- and Triangular-Lattice Antiferromagnets2018

    • 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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Spontaneous Magnetization of the Spin-1/2 Heisenberg Antiferromagnet on the Triangular Lattice with a Distortion2018

    • 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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Gapless spin excitations in the S=1/2 Kagome- and triangular-lattice Heisenberg antiferromagnets2018

    • 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

    • Related Report
      2018 Annual Research Report
    • 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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Precise Estimation of the S = 2 Haldane Gap by Numerical Diagonalization2018

    • 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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Ground-State Phase Diagram of an Anisotropic S = 1/2 Ladder with Different Leg Interactions2018

    • 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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Third Boundary of the Shastry?Sutherland Model by Numerical Diagonalization2018

    • 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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Ground state with nonzero spontaneous magnetization of the two-dimensional spin-1/2 Heisenberg antiferromagnet with frustration2018

    • Author(s)
      Sakai Toru、Nakano Hiroki
    • Journal Title

      AIP Advances

      Volume: 8 Issue: 10 Pages: 101408-101408

    • DOI

      10.1063/1.5042780

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Metamagnetic jump in the spin-1/2 antiferromagnetic Heisenberg model on the square kagome lattice2018

    • Author(s)
      Hasegawa Yasumasa、Nakano Hiroki、Sakai Toru
    • Journal Title

      Physical Review B

      Volume: 98 Issue: 1

    • DOI

      10.1103/physrevb.98.014404

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum phase transition in the twisted three-leg spin tube2017

    • Author(s)
      Ito Keisuke、Yokoo Shun、Okamoto Kiyomi、Sakai Toru
    • Journal Title

      Polyhedron

      Volume: 136 Pages: 42-44

    • DOI

      10.1016/j.poly.2017.05.024

    • NAID

      130006708986

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Exact Ground States of Frustrated Quantum Spin Systems Consisting of Spin-Dimer Units2017

    • Author(s)
      Toshiya Hikihara, Takashi Tonegawa, Kiyomi Okamoto, and Toru Sakai
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 86 Issue: 5 Pages: 054709-054709

    • DOI

      10.7566/jpsj.86.054709

    • NAID

      210000134369

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Frustrated S=1/2 Two-Leg Ladder with Different Leg Interactions2017

    • Author(s)
      Takashi Tonegawa, Kiyomi Okamoto, Toshiya Hikihara, and Toru Sakai
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 828 Pages: 012003-012003

    • DOI

      10.1088/1742-6596/828/1/012003

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Ferrimagnetism in the Spin-1/2 Heisenberg Antiferromagnet on a Distorted Triangular Lattice2017

    • Author(s)
      Hiroki Nakano and Toru Sakai
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 6 Pages: 063702-063702

    • DOI

      10.7566/jpsj.86.063702

    • NAID

      40021221634

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantum Spin Liquid in the Kagome-Lattice Antiferromagnet and Related Systems2017

    • Author(s)
      H. Nakano and T. Sakai
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 868 Pages: 012006-012006

    • DOI

      10.1088/1742-6596/868/1/012006

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Magnetization Process of the Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with Next-Nearest-Neighbor Interactions --- Plateau or Nonplateau ---2017

    • Author(s)
      Hiroki Nakano and Toru Sakai
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 11 Pages: 114705-114705

    • DOI

      10.7566/jpsj.86.114705

    • NAID

      40021377012

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Dzyaloshinsky-Moriya Interaction and the Ground State in S=3/2 Perfect Kagome Lattice Antiferromagnet KCr3(OH)6(SO4)2 (Cr-Jarosite) Studied by X-Band and High-Frequency ESR2017

    • Author(s)
      S. Okubo, R. Nakata, S. Idehara, N. Takahashi, T. Sakurai, W. Zhang, H. Ohta, T. Shimokawa, T. Sakai, K. Okuta, S. Hara, and H. Sato
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 2 Pages: 024703-024703

    • DOI

      10.7566/jpsj.86.024703

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Gapless Quantum Spin Liquid of the Kagome-Lattice Antiferromagnet2017

    • Author(s)
      T. Sakai and H. Nakano
    • Journal Title

      POLYHEDRON

      Volume: 126 Pages: 42-44

    • DOI

      10.1016/j.poly.2017.01.012

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Ground State Phase Diagram of the Bond-Alternating S=2 Quantum Spin Chain with the XXZ and On-Site Anisotropies -Symmetry Protected Topological Phase versus Trivial Phase-2016

    • Author(s)
      K. Okamoto, T. Tonegawa and T. Sakai
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 6 Pages: 063704-063704

    • DOI

      10.7566/jpsj.85.063704

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Ground-state phase diagram of an anisotropic S=1/2 ladder with alternating rung interactions2016

    • Author(s)
      Takashi Tonegawa, Kiyomi Okamoto, Toshiya Hikihara and Toru Sakai
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 683 Pages: 012039-012039

    • DOI

      10.1088/1742-6596/683/1/012039

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Effect of monomer-monomer interactions on the phase diagrams of the S=1/2 distorted diamond type quantum spin chain2016

    • Author(s)
      K. Okamoto, T. Tonegawa and T. Sakai
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 683 Pages: 012038-012038

    • DOI

      10.1088/1742-6596/683/1/012038

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Magnetization Process of the Triangular- and Kagome-Lattice Antiferromagnets2019

    • Author(s)
      Toru Sakai
    • Organizer
      American Physical Society March Meeting
    • Related Report
      2018 Annual Research Report
    • 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
    • Related Report
      2018 Annual Research Report
  • [Presentation] The Numerical Study of Quantum Phase Transitions of the Heisenberg Antiferromagnet on a Frustrated Two Dimensional Lattice2018

    • Author(s)
      Toru Sakai
    • Organizer
      International Conference on Magnetism (ICM2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Exotic Quantum Spin Liquid of Kagome Lattice Antiferromagnet2018

    • Author(s)
      Toru Sakai
    • Organizer
      International Conference on Coordination Chemistry (ICCC2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Field Induced Spin Nematic Phase of Low Dimensional Magnets2018

    • Author(s)
      Toru Sakai
    • Organizer
      The 16th International Conference on Megagauss Magnetic Field Generation and Related Topics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical Diagonalization Study on the Kagome-Lattice Antiferromagnet and related systems2018

    • Author(s)
      Toru Sakai
    • Organizer
      Institute Laue-Langevin Seminar
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical Diagonalization Study on Frustrated Quantum Spin Systems2018

    • Author(s)
      Toru Sakai
    • Organizer
      Seminar of Field Theory and Condensed Matter
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Field Induced Spin Nematic Phases in Low Dimensional Quantum Antiferromagnets2018

    • Author(s)
      Toru Sakai
    • Organizer
      International Workshop on j-fermion Physics and Materials
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Gapless Quantum Spin Liquid of the Kagome-Lattice Antiferromagnet2018

    • Author(s)
      T. Sakai and H. Nakano
    • Organizer
      アメリカ物理学会マーチミーティング
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 低次元量子反強磁性体のスピンネマティック相2018

    • Author(s)
      坂井徹
    • Organizer
      J-Physics多極子伝導系の物理・平成29年度領域全体会議
    • Related Report
      2017 Research-status Report
  • [Presentation] 磁化率解析法による量子系のスピンギャップ有無の判定2018

    • Author(s)
      坂井徹、中野博生
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Numerical Dyagonalization Study on Frustrated Magnets2017

    • Author(s)
      T. Sakai
    • Organizer
      Workshop on Quantum Dynamics and Response
    • Place of Presentation
      University of Tokyo(東京都文京区)
    • Year and Date
      2017-03-13
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Quantum Spin Fluid Behaviors of the Kagome- and Triangular-Lattice Antiferromagnets2017

    • Author(s)
      T. Sakai and H. Nakano
    • Organizer
      International Conference on Low-Temperature Physics (LT28)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 磁化率の計算によるスピンギャップ解析2017

    • Author(s)
      坂井徹、中野博生
    • Organizer
      東京大学物性研究所短期研究会 物性研究所スパコン共同利用・CCMS合同研究会「計算物質科学の今と未来」
    • Related Report
      2017 Research-status Report
  • [Presentation] 低次元量子磁性体におけるスピンネマティック相の理論的研究2017

    • Author(s)
      坂井徹
    • Organizer
      J-Physics トピカルミーティング「局在多極子と伝導電子の相関による新現象」
    • Related Report
      2017 Research-status Report
  • [Presentation] Gapless Spin Excitations in the Kagome- and Triangular-Lattice Antiferromagnets2017

    • Author(s)
      T. Sakai and H. Nakano
    • Organizer
      International Conference on Strongly Correlated Electron Systems (SCES2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Numerical Diagonalization Study on Kagome-Lattice Antiferromagnet and Related Systems2017

    • Author(s)
      T. Sakai
    • Organizer
      スイス連邦工科大チューリッヒ校セミナー
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Spin-Nematic and Spin-Liquid Phases in Low-Dimensional Antiferromagnets2017

    • Author(s)
      T. Salao
    • Organizer
      International Workshop on Multipole Physics and Related Phenomena
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 直行ダイマー系の量子相転移におけるESR禁制遷移2017

    • Author(s)
      坂井徹、中野博生、野尻浩之
    • Organizer
      第56回電子スピンサイエンス学会年会
    • Related Report
      2017 Research-status Report
  • [Presentation] Quantum Spin Liquid of Kagome-Lattice Antiferromagnet2017

    • Author(s)
      T. Sakai and H. Nakano
    • Organizer
      Symposium on Trends in Condensed Matter Physics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum Spin Liquid of the Kagome- and Triangular-Lattice Antiferromagnets and Related Materials2017

    • Author(s)
      T. Sakai and H. Nakano
    • Organizer
      YIPQS Long-Term and Nishinomiya-Yukawa Memorial Workshop Novel Quantum States in Condensed Matter 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] フラストレーション系における磁場誘起量子現象の大規模数値対角化による研究2017

    • Author(s)
      坂井徹、中野博生
    • Organizer
      強磁場フォーラム研究会「強磁場コラボラトリーが拓く未踏計測領域への挑戦と物質・材料科学の最先端」
    • Related Report
      2017 Research-status Report
  • [Presentation] 大規模数値対角化によるフラストレーション系の研究2017

    • Author(s)
      坂井徹、中野博生
    • Organizer
      第12回量子スピン系研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] 直行ダイマー系の量子相転移におけるESR禁制遷移2017

    • Author(s)
      坂井徹、中野博生、野尻浩之
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Quantum Spin Nanotubes2016

    • Author(s)
      T. Sakai
    • Organizer
      Energy, Materials, Nanotechnology Meeting
    • Place of Presentation
      Mantra Bell City Hotel(Melbourne, Australia)
    • Year and Date
      2016-10-10
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Quantum Spin Fluid of the S=1/2 Kagome-Lattice Antiferromagnet2016

    • Author(s)
      T. Sakai
    • Organizer
      International Conference on Highly Frustrated Magnetism
    • Place of Presentation
      台湾大学会議場(台湾・台北市)
    • Year and Date
      2016-09-07
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum Spin Fluid in S=1/2 Kagome-Lattice Antiferromagnet2016

    • Author(s)
      T. Sakai
    • Organizer
      STATPHYS2016
    • Place of Presentation
      Palais des Congres(Lyon, France)
    • Year and Date
      2016-07-18
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum Critical Properties of the Twisted Quantum Spin Nanotube2016

    • Author(s)
      T. Sakai
    • Organizer
      International Conference on Science and Technology of Synthetic Metals
    • Place of Presentation
      広州白雲国際会議センター(中国・広州)
    • Year and Date
      2016-06-26
    • Related Report
      2016 Research-status Report
    • 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

    • Related Report
      2018 Annual Research Report

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Published: 2016-04-21   Modified: 2020-03-30  

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