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Study of exotic quantum states emergent from strong spin-orbit coupling on the basis of exactly solvable models

Research Project

Project/Area Number 16K17747
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Condensed matter physics II
Research InstitutionYokohama National University (2018-2019)
Tokyo Institute of Technology (2016-2017)

Principal Investigator

Nasu Joji  横浜国立大学, 大学院工学研究院, 准教授 (40610639)

Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Discontinued (Fiscal Year 2019)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords強相関電子系 / スピン軌道相互作用 / 量子スピン液体 / 物性理論
Outline of Final Research Achievements

We studied strongly correlated electron systems with strong spin-orbit coupling to clarify exotic quantum phenomena emergent in these systems. It is generally difficult to take account of electron correlations, spin-orbit coupling, and anisotropy intrinsic in the orbital degree of freedom, on an equal footing. To overcome this difficulty, we started from the strong coupling limit and systematic calculations were performed. As the results, we obtained the following outcomes.
1) We consider the Kugel-Khomskii model describing the spin and orbital degrees of freedom and analyze the stability of ordered states in the presence of the spin-orbit coupling.
2) We discussed the possibility of a superconducting state with spontaneously orbital selection. In addition, we clarified the phase diagram including symmetry-broken states. We also discussed the validity of the results by introducing the effective model in the strong coupling limit.

Academic Significance and Societal Importance of the Research Achievements

本研究課題では、強相関電子系における軌道自由度の果たす役割を明らかにするため、強相関極限を起点として、蜂の巣格子上の多軌道模型における量子スピン液体や3軌道ハバード模型における超伝導状態などの性質を明らかにした。有限温度における静的・動的性質に対して包括的かつ詳細な解析を行った。量子スピン液体や多軌道ハバード模型における超伝導は量子多体効果が顕著であり、解析することが困難であることが多いが、ここでは強相関極限の局在電子系の計算を平行して行うことで、その妥当性も議論していることに学術的な意義があると考える。

Report

(4 results)
  • 2019 Final Research Report ( PDF )
  • 2018 Annual Research Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (59 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (3 results) Journal Article (25 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 25 results,  Acknowledgement Compliant: 1 results,  Open Access: 1 results) Presentation (31 results) (of which Int'l Joint Research: 9 results,  Invited: 12 results)

  • [Int'l Joint Research] Cavendish Laboratory(英国)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] NRC Kurchatov Institute(ロシア連邦)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Max Planck Institute(ドイツ)

    • Related Report
      2016 Research-status Report
  • [Journal Article] Quantum and classical behavior of spin-S Kitaev models in the anisotropic limit2019

    • Author(s)
      Minakawa Tetsuya、Nasu Joji、Koga Akihisa
    • Journal Title

      Physical Review B

      Volume: 99 Issue: 10 Pages: 104408-104408

    • DOI

      10.1103/physrevb.99.104408

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Staggered ordered phases in the three-orbital Hubbard model2019

    • Author(s)
      K. Ishigaki, J. Nasu, A. Koga, S. Hoshino, and P. Werner
    • Journal Title

      Phys. Rev. B

      Volume: 99 Issue: 8 Pages: 0851311-11

    • DOI

      10.1103/physrevb.99.085131

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Symmetry breaking states in the half-filled two-orbital Hubbard model with crystalline electric field2019

    • Author(s)
      K. Ishigaki, J. Nasu, and A. Koga
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 88 Issue: 2 Pages: 0247021-5

    • DOI

      10.7566/jpsj.88.024702

    • NAID

      210000135099

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spontaneously orbital-selective superconductivity in a three-orbital Hubbard model2018

    • Author(s)
      K. Ishigaki, J. Nasu, A. Koga, S. Hoshino, and P. Werner
    • Journal Title

      Phys. Rev. B

      Volume: 98 Issue: 23 Pages: 2351201-7

    • DOI

      10.1103/physrevb.98.235120

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Successive Majorana topological transitions driven by a magnetic field in the Kitaev model2018

    • Author(s)
      Nasu Joji、Kato Yasuyuki、Kamiya Yoshitomo、Motome Yukitoshi
    • Journal Title

      Physical Review B

      Volume: 98 Issue: 6 Pages: 060416-060416

    • DOI

      10.1103/physrevb.98.060416

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid2018

    • Author(s)
      Kasahara Y.、Ohnishi T.、Mizukami Y.、Tanaka O.、Ma Sixiao、Sugii K.、Kurita N.、Tanaka H.、Nasu J.、Motome Y.、Shibauchi T.、Matsuda Y.
    • Journal Title

      Nature

      Volume: 559 Issue: 7713 Pages: 227-231

    • DOI

      10.1038/s41586-018-0274-0

    • NAID

      120006497340

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Magnetoelectric Effect in a Spin-State Transition System2018

    • Author(s)
      Naka Makoto、Mizoguchi Eriko、Nasu Joji、Ishihara Sumio
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 87 Issue: 6 Pages: 063709-063709

    • DOI

      10.7566/jpsj.87.063709

    • NAID

      210000134852

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Unusual thermal Hall effect in a Kitaev spin liquid candidate α-RuCl32018

    • Author(s)
      Y. Kasahara, K. Sugii, T. Ohnishi, M. Shimozawa, M. Yamashita, N. Kurita, H. Tanaka, J. Nasu, Y. Motome, T. Shibauchi, and Y. Matsuda
    • Journal Title

      Phys. Rev. Lett.

      Volume: 120 Issue: 21 Pages: 217205-217205

    • DOI

      10.1103/physrevlett.120.217205

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ground-state and thermodynamic properties of an S=1 Kitaev model2018

    • Author(s)
      A. Koga, H. Tomishige, and J. Nasu
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 87 Issue: 6 Pages: 0637031-4

    • DOI

      10.7566/jpsj.87.063703

    • NAID

      210000134846

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Role of spin-orbit coupling in the Kugel-Khomskii model on the honeycomb lattice2018

    • Author(s)
      A. Koga, S. Nakauchi, and J. Nasu
    • Journal Title

      Phys. Rev. B

      Volume: 97 Issue: 9 Pages: 0944271-5

    • DOI

      10.1103/physrevb.97.094427

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Charge Kondo Effect and Superconductivity in the Falikov-Kimball model with the Pair Hopping2018

    • Author(s)
      R. Shinzaki, J. Nasu, and A. Koga
    • Journal Title

      Phys. Rev. B

      Volume: 97 Issue: 12 Pages: 1251301-6

    • DOI

      10.1103/physrevb.97.125130

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Interlayer Coupling Effect on a Bilayer Kitaev Model2018

    • Author(s)
      H. Tomishige, J. Nasu, and A. Koga
    • Journal Title

      Phys. Rev. B

      Volume: 97 Issue: 9 Pages: 0944031-9

    • DOI

      10.1103/physrevb.97.094403

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Chiral spin liquids at finite temperature in a three-dimensional Kitaev model2017

    • Author(s)
      Kato Yasuyuki、Kamiya Yoshitomo、Nasu Joji、Motome Yukitoshi
    • Journal Title

      Physical Review B

      Volume: 96 Issue: 17

    • DOI

      10.1103/physrevb.96.174409

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Thermal Transport in the Kitaev Model2017

    • Author(s)
      Nasu Joji、Yoshitake Junki、Motome Yukitoshi
    • Journal Title

      Physical Review Letters

      Volume: 119 Issue: 12

    • DOI

      10.1103/physrevlett.119.127204

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Majorana fermions in the Kitaev quantum spin system α-RuCl32017

    • Author(s)
      Do Seung-Hwan、Park Sang-Youn、Yoshitake Junki、Nasu Joji、Motome Yukitoshi、Kwon Yong Seung、Adroja D. T.、Voneshen D. J.、Kim Kyoo、Jang T.-H.、Park J.-H.、Choi Kwang-Yong、Ji Sungdae
    • Journal Title

      Nature Physics

      Volume: 13 Issue: 11 Pages: 1079-1084

    • DOI

      10.1038/nphys4264

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Temperature evolution of spin dynamics in two- and three-dimensional Kitaev models: Influence of fluctuating Z2 flux2017

    • Author(s)
      Yoshitake Junki、Nasu Joji、Motome Yukitoshi
    • Journal Title

      Physical Review B

      Volume: 96 Issue: 6

    • DOI

      10.1103/physrevb.96.064433

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model2017

    • Author(s)
      Yoshitake Junki、Nasu Joji、Kato Yasuyuki、Motome Yukitoshi
    • Journal Title

      Physical Review B

      Volume: 96 Issue: 2

    • DOI

      10.1103/physrevb.96.024438

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Spin-Liquid-to-Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization2017

    • Author(s)
      J. Nasu, Y. Kato, J. Yoshitake, Y. Kamiya, Y. Motome
    • Journal Title

      Physical Review Letters

      Volume: 118 Issue: 13 Pages: 137203-137203

    • DOI

      10.1103/physrevlett.118.137203

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Cluster Size Effects on Electronic Reconstruction in Quasiperiodic System2017

    • Author(s)
      R. Shinzaki, J. Nasu, and A. Koga
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 809 Pages: 0120221-4

    • DOI

      10.1088/1742-6596/809/1/012022

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Phase diagram and collective excitation in excitonic insulator: from the orbital physics viewpoint2016

    • Author(s)
      J. Nasu, T. Watanabe, M. Naka, and S. Ishihara
    • Journal Title

      Physical Review B

      Volume: 93 Issue: 20

    • DOI

      10.1103/physrevb.93.205136

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Fermionic response from fractionalization in an insulating two-dimensional magnet2016

    • Author(s)
      J. Nasu, J. Knolle, D. L. Kovrizhin, Y. Motome, R. Moessner
    • Journal Title

      Nature Physics

      Volume: 12 Issue: 10 Pages: 912-915

    • DOI

      10.1038/nphys3809

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Phase transitions in the Hubbard model for the bismuth nickelate2016

    • Author(s)
      S. Kojima, J. Nasu, and A. Koga
    • Journal Title

      Physical Review B

      Volume: 94 Issue: 4 Pages: 0451031-6

    • DOI

      10.1103/physrevb.94.045103

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Magnetic Field Effects in a Correlated Electron System with Spin-State Degree of Freedom -Implication of an Excitonic Insulator-2016

    • Author(s)
      T. Tatsuno, E. Mizoguchi, J. Nasu, M. Naka, S. Ishihara
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 8 Pages: 083706-083706

    • DOI

      10.7566/jpsj.85.083706

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Fractional Spin Fluctuation as a Precursor of Quantum Spin Liquids: Majorana Dynamical Mean-Field Study for the Kitaev Model2016

    • Author(s)
      J. Yoshitake, J. Nasu, and Y. Motome
    • Journal Title

      Physical Review Letters

      Volume: 117 Issue: 15

    • DOI

      10.1103/physrevlett.117.157203

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Magnetic Response and Valence Fluctuations in the Extended Anderson Lattice Model with Quasiperiodicity2016

    • Author(s)
      R. Shinzaki, J. Nasu, and A. Koga
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 11 Pages: 1147061-6

    • DOI

      10.7566/jpsj.85.114706

    • NAID

      210000134154

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Presentation] キタエフ模型における磁場中スピンダイナミクス2019

    • Author(s)
      那須譲治, 求幸年
    • Organizer
      日本物理学会,第74回年次大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Non-equilibrium dynamics by field quench in Kitaev model2019

    • Author(s)
      J. Nasu, Y. Motome
    • Organizer
      Symposium: Topological Phases and Functionality of Correlated Electron Systems
    • Related Report
      2018 Annual Research Report
  • [Presentation] キタエフ模型における磁場効果2019

    • Author(s)
      那須譲治
    • Organizer
      第4回TMS領域研究会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] キタエフ量子スピン液体におけるマヨラナ準粒子2019

    • Author(s)
      那須譲治
    • Organizer
      那須譲治
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 励起子絶縁体におけるスピンネマティック揺らぎの効果2018

    • Author(s)
      那須譲治, 中惇, 石原純夫
    • Organizer
      量子多体効果が生み出す液晶的電子状態
    • Related Report
      2018 Annual Research Report
  • [Presentation] Kitaevスピン液体の有限温度ダイナミクスと輸送現象2018

    • Author(s)
      那須譲治
    • Organizer
      基研研究会「スピン系物理の最前線」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Majorana topological transition driven by a magnetic field in the Kitaev model2018

    • Author(s)
      Joji Nasu
    • Organizer
      TMS-PKU 2nd Alliance Workshop: "Topological Materials and Quantum Materials"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamical and transport properties in Kitaev spin liquids2018

    • Author(s)
      那須譲治
    • Organizer
      TMS-EPiQS 2nd Alliance Workshop: Topological magnets and topological superconductors
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] スピン軌道相互作用のある強相関励起子絶縁体に対する磁場効果2018

    • Author(s)
      那須譲治
    • Organizer
      日本物理学会, 第73回年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] キタエフ模型における熱輸送現象2017

    • Author(s)
      那須譲治, 吉竹純基, 求幸年
    • Organizer
      日本物理学会, 第72回年次大会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] 量子スピン液体の熱力学的性質とダイナミクスの理論的解明2017

    • Author(s)
      那須譲治
    • Organizer
      日本物理学会, 第72回年次大会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Thermal transport in the Kitaev model2017

    • Author(s)
      J. Nasu, J. Yoshitake, Y. Motome
    • Organizer
      Correlated Electron Systems (TPFC2017)
    • Place of Presentation
      Kashiwa, Japan
    • Year and Date
      2017-02-20
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Thermal transport in the Kitaev model2017

    • Author(s)
      那須譲治
    • Organizer
      Novel Quantum States in Condensed Matter 2017 (NQS2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Thermal transport by emergent Majorana fermions in the Kitaev model2017

    • Author(s)
      那須譲治
    • Organizer
      Junjiro Kanamori, Memorial International Symposium
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Thermal transport in the Kitaev model2017

    • Author(s)
      那須譲治
    • Organizer
      International Conference on Strongly Correlated Electron Systems (SCES 2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Thermal transport in the Kitaev model2017

    • Author(s)
      那須譲治
    • Organizer
      International Conference on Topological Materials Science (TopoMat2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] キタエフ模型における熱伝導現象2017

    • Author(s)
      那須譲治
    • Organizer
      第二回 量子スピン液体研究の新展開
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] キタエフスピン液体は本当に存在するのか?2017

    • Author(s)
      那須譲治
    • Organizer
      第七回 強相関電子系理論の最前線
    • Related Report
      2017 Research-status Report
  • [Presentation] スピン状態自由度を有する強相関励起子相におけるスピン軌道相互作用の効果2017

    • Author(s)
      那須譲治
    • Organizer
      日本物理学会, 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] キタエフスピン液体に対する磁場効果2017

    • Author(s)
      那須譲治
    • Organizer
      日本物理学会, 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Kitaevスピン液体の熱的性質とそのダイナミクス2017

    • Author(s)
      那須譲治
    • Organizer
      京都大学基礎物理学研究所・研究会 「熱場の量子論とその応用」
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] キタエフ模型における磁場下での熱ホール効果2016

    • Author(s)
      那須譲治, 吉竹純基, 求幸年
    • Organizer
      第2回TMS領域研究会(TMS2016)
    • Place of Presentation
      東北大学
    • Year and Date
      2016-12-16
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Finite-temperature dynamics of emergent Majorana fermions in quantum spin liquids2016

    • Author(s)
      J. Nasu, J. Knolle, D. L. Kovrizhin, Y. Motome, R. Moessner
    • Organizer
      EPiQS-TMS Trans-Pacific Conference
    • Place of Presentation
      Moorea, French Polynesia
    • Year and Date
      2016-12-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] キタエフ模型における分数化に由来したフェルミ励起:α-RuCl3におけるラマン散乱実験との比較2016

    • Author(s)
      那須譲治, Johannes Knolle, Dmitry Kovrizhin, 求幸年, Roderich Moessner
    • Organizer
      日本物理学会, 2016年秋季大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] キタエフ模型の磁場下での熱ホール効果2016

    • Author(s)
      那須譲治, 求幸年
    • Organizer
      日本物理学会, 2016年秋季大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] スピン状態自由度を持つ強相関模型における励起子絶縁体相とフラストレーション2016

    • Author(s)
      那須譲治, 中惇, 石原純夫
    • Organizer
      日本物理学会, 2016年秋季大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Fermionic response from fractionalization in quantum spin liquids2016

    • Author(s)
      J. Nasu, J. Knolle, D. L. Kovrizhin, Y. Motome, R. Moessner
    • Organizer
      8th International Conference on Highly Frustrated Magnetism 2016
    • Place of Presentation
      Taipei, Taiwan
    • Year and Date
      2016-09-07
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 量子スピン液体の有限温度ダイナミクスと分数励起2016

    • Author(s)
      那須譲治
    • Organizer
      平成28年度物性研究所短期研究会 パイ電子系物性科学の最前線
    • Place of Presentation
      物性研究所
    • Year and Date
      2016-08-08
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] キタエフ模型の有限温度ダイナミクスと分数励起2016

    • Author(s)
      那須譲治
    • Organizer
      第一回 量子スピン液体研究の新展開
    • Place of Presentation
      東京大学
    • Year and Date
      2016-07-14
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] スピン状態自由度を持つ強相関模型における磁場誘起励起子絶縁体状態2016

    • Author(s)
      那須譲治, 辰野太郎, 中惇, 石原純夫
    • Organizer
      物性研究所短期研究会「強磁場コラボラトリー、国際協力と強磁場科学の将来」
    • Place of Presentation
      物性研究所
    • Year and Date
      2016-06-23
    • Related Report
      2016 Research-status Report
  • [Presentation] 量子スピン系に内在するマヨラナダイナミクスとそのトポロジー2016

    • Author(s)
      那須譲治
    • Organizer
      新学術領域「トポロジーが紡ぐ物質科学のフロンティア」公募班キックオフミーティング
    • Place of Presentation
      京都大学
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2022-02-22  

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