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Variational Monte Carlo study using new algorithm of excited states in Mott regime

Research Project

Project/Area Number 16K05428
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Condensed matter physics II
Research InstitutionTohoku University

Principal Investigator

Yokoyama Hisatoshi  東北大学, 理学研究科, 助教 (60212304)

Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywords強相関電子系 / モット転移 / ハバード模型 / 変分モンテカルロ法 / 反強磁性状態 / 超伝導状態 / 光励起 / 冷却原子 / 励起状態 / d波超伝導 / 反強磁性 / ダブロン / モット物理 / 低エネルギー励起状態 / 高温超伝導 / 不純物効果 / 擬ギャップ / 回転対称性の破れ / 電荷密度波
Outline of Final Research Achievements

We consider a strongly correlated system in which an energy gap exist between the insulating ground state and excited states. By applying a variational Monte Carlo method, which is often used for ground states, to excited states, we studied how the excited state behaves as a quasi-stationary state after some weak relaxation processes. We found that the pair-formed and paramagnetic states exhibit phase transitions to (super)conducting states with weak excitation strengths, whereas the antiferromagnetic (AF) state preserves an insulating state. The energy is lowest for the AF state. Therefore, after relaxation from an initial transient conductive state, the state becomes an AF state, which is similar to the ground state.

Academic Significance and Societal Importance of the Research Achievements

強い電子相関がある絶縁体の励起後の緩和過程に対応する理論的研究として、動的研究より基礎的な点を明らかにすることで、光励起や光学格子の実験結果を深く追求できる素地ができたと考えられる。通常、励起後の緩和した状態が金属的になるのが当然と考えられているが、モット領域であれば、それが誤解であることを示せた。励起に関しても、半導体の物理のモットの物理が著しく異なることを示せた。主流である動的研究に、本研究の成果は反映される必要があろう。

Report

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

    (64 results)

All 2020 2019 2018 2017 2016 Other

All Journal Article (22 results) (of which Peer Reviewed: 22 results,  Open Access: 15 results,  Acknowledgement Compliant: 2 results) Presentation (39 results) (of which Int'l Joint Research: 18 results) Remarks (3 results)

  • [Journal Article] Metallization of Mott Insulators through Percolation in Partially Filled Impurity Hubbard Model2020

    • Author(s)
      Hisatoshi Yokoyama, Ryo Sato, Kenji Kobayashi, Tsutomu Watanabe, and Masao Ogata
    • Journal Title

      JPS Conference Proceedings

      Volume: 30

    • DOI

      10.7566/jpscp.30.011003

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Impurity Effect on Magnetism and Mott Transitions in Hubbard Model on Anisotropic Triangular Lattice2020

    • Author(s)
      Tsutomu Watanabe, Hisatoshi Yokoyama, and Kenji Kobayashi
    • Journal Title

      JPS Conference Proceedings

      Volume: 30

    • DOI

      10.7566/jpscp.30.011004

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Pomeranchuk Instability in Strongly Correlated Hubbard Model2020

    • Author(s)
      Kenji Kobayashi, and Hisatoshi Yokoyama
    • Journal Title

      JPS Conference. Proceedings

      Volume: 30

    • DOI

      10.7566/jpscp.30.011046

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Possibility of Pomeranchuk instability in staggered flux state2020

    • Author(s)
      Kenji Kobayashi and Hisatoshi Yokoyama
    • Journal Title

      Journal of Physics; Conference. Series

      Volume: 印刷中

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Insulator-to-superconductor transition by exciting half-filled d-wave pairing state beyond Mott gap2020

    • Author(s)
      Hisatoshi Yokoyama, Kenji Kobayashi, Tsutomu Watanabe, Masao Ogata
    • Journal Title

      Journal of Physics; Conference. Series

      Volume: 印刷中

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Impurity effects on dx2-y2-wave superconducting state in strongly correlated Hubbard model2019

    • Author(s)
      Ryo Sato, Hisatoshi Yokoyama
    • Journal Title

      Journal of Physics; Conference Series

      Volume: 印刷中

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Relationship between superconductiviry and anisotropy in two-dimensional Hubbard model2019

    • Author(s)
      Kenji Kobayashi, Hisatoshi Yokoyama
    • Journal Title

      Journal of Physics; Conference Series

      Volume: 印刷中

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Impurity induced insulator-to-metal transitions in half-filled Mott insulators2019

    • Author(s)
      Hisatoshi Yokoyama, Ryo Sato, Kenji Kobayashi
    • Journal Title

      Journal of Physics; Conference Series

      Volume: 印刷中

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Band-Renormalization Effect on Superconductivity and Antiferromagnetism in Two-Dimensional t-J Model2018

    • Author(s)
      Ryo Sato, and Hisatoshi Yokoyama
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 87 Issue: 11 Pages: 114003-114003

    • DOI

      10.7566/jpsj.87.114003

    • NAID

      40021719000

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Interhole correlation and Phase Separation in t-J model2018

    • Author(s)
      R.Sato, H.Yokoyama
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Interplay between staggered flux and d-wave superconducting orders in t-t'-J model2018

    • Author(s)
      K.Kobayashi, H.Yokoyama, Y.Toga
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Impurity-induced Mott transitions in partially filled antiferromagnetic states2018

    • Author(s)
      H.Yokoyama, R.Sato, K.Kobayashi
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Band-renormalization effects on antiferromagnetism and d-wave superconductivity in two-dimensional t-J model2017

    • Author(s)
      R.Sato, H.Yokoyama
    • Journal Title

      Journal of Physics Proceedings Series

      Volume: 印刷中

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Interplay between staggered flux and d-wave superconducting states in Hubbard Model2017

    • Author(s)
      K.Kobayashi, H.Yokoyama
    • Journal Title

      Journal of Physics Proceedings Series

      Volume: 印刷中

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Effect of impurity potentials on antiferromagnetism in two-dimensional Hubbard model2017

    • Author(s)
      H.Yokoyama, R.Sato, K.Kobayashi
    • Journal Title

      Journal of Physics Proceedings Series

      Volume: 印刷中

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Variational Study of Magnetic Ordered State in d-p Model2016

    • Author(s)
      S.Tamura, H.Yokoyama
    • Journal Title

      Physics Procedia

      Volume: 81 Pages: 5-8

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Loop-Current and Antiferromagnetic States in Fermionic Hubbard Model with Staggered Flux at Half Filling2016

    • Author(s)
      Y.Toga, H.Yokoyama
    • Journal Title

      Physics Procedia

      Volume: 81 Pages: 13-16

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Band-Renormalization Effect in Coexistent State of d-wave Superconducting and Antiferromagnetic Orders for Hubbard Model2016

    • Author(s)
      R.Sato, H.Yokoyama
    • Journal Title

      Physica C

      Volume: 530 Pages: 5-7

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Band-Renormalization Effect on Relationship between Superconductivity and Antiferromagnetism in t-J Model2016

    • Author(s)
      K.Kobayashi, R.Sato, H.Yokoyama
    • Journal Title

      Physics Procedia

      Volume: 81 Pages: 1-4

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Predominance of Antiferromagnetism in Two-Dimensional Underdoped Hubbard Model2016

    • Author(s)
      H.Yokoyama, R.Sato, K.Kobayashi
    • Journal Title

      Physics Procedia

      Volume: 81 Pages: 9-12

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Band-Renormalization Effect and Predominant Antiferromagnetism in Two-Dimensional Underdoped Hubbard Model2016

    • Author(s)
      R.Sato, H.Yokoyama
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 7 Pages: 074701-074701

    • DOI

      10.7566/jpsj.85.074701

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Staggered Flux State in Two- Dimensional Hubbard models2016

    • Author(s)
      H.Yokoyama, S.Tamura, M.Ogata
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 12 Pages: 124707-124707

    • DOI

      10.7566/jpsj.85.124707

    • NAID

      40021031122

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] モットギャップを超える励起による半充填状態の絶縁体-導体転移2020

    • Author(s)
      横山寿敏, 小林憲司, 渡邉努, 小形正男
    • Organizer
      日本物理学会(年次大会)
    • Related Report
      2019 Annual Research Report
  • [Presentation] 強相関ハバード模型における電荷とスピンの局所相関の効果と磁気ポーラロン形成の可能性2020

    • Author(s)
      小林憲司, 横山寿敏, 渡邉努, 小形正男
    • Organizer
      日本物理学会(年次大会)
    • Related Report
      2019 Annual Research Report
  • [Presentation] Filling-Control-Type Mott Transitions in Half-Filled and Partially Filled Impurity Hubbard Models2019

    • Author(s)
      Hisatoshi Yokoyama
    • Organizer
      Research Frontier of Advanced Spectroscopies for Correlated Electron Systems
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Relationship between Superconductivity and Anisotropy in Strongly Correlated Electrons2019

    • Author(s)
      Kenji Kobayashi and Hisatoshi Yokoyama
    • Organizer
      International Conference on Strongly Correlated Electron Systems 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Metallization of Mott Insulators through Percolation in Partially Filled Impurity Hubbard Model2019

    • Author(s)
      Hisatoshi Yokoyama, Kenji Kobayashi, Tsutomu Watanabe, Masao Ogata
    • Organizer
      International Conference on Strongly Correlated Electron Systems 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Impurity Effect on Magnetism and Mott Transitions in Hubbard Model on Anisotropic Triangular Lattice2019

    • Author(s)
      Tsutomu Watanabe, Hisatoshi Yokoyama, and Kenji Kobayashi
    • Organizer
      International Conference on Strongly Correlated Electron Systems 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Itinerancy and Localization of d-Wave Superconducting State in Two-Dimensional Impurity Hubbard Model2019

    • Author(s)
      Ryo Sato and Hisatoshi Yokoyama
    • Organizer
      International Conference on Strongly Correlated Electron Systems 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Variational Monte Carlo Study of Excited States in Strongly Correlated Hubbard Model2019

    • Author(s)
      Hisatoshi Yokoyama, Kenji Kobayashi, Tsutomu Watanabe, Masao Ogata
    • Organizer
      International Symposium on Superconductivity 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Anisotropy in strongly correlated electrons and its relationship with superconductivity2019

    • Author(s)
      Kenji Kobayashi and Hisatoshi Yokoyama
    • Organizer
      International Symposium on Superconductivity 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 強相関超伝導状態に対して不純物ポテンシャルが及ぼす影響2019

    • Author(s)
      佐藤諒、横山寿敏
    • Organizer
      日本物理学会 第74回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 強相関電子系における超伝導、交替磁束秩序、異方性の関係2019

    • Author(s)
      小林憲司、横山寿敏
    • Organizer
      日本物理学会 第74回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 強相関ハバード模型における点型不純物ポテンシャルの効果 II2019

    • Author(s)
      横山寿敏、佐藤諒、小林憲司
    • Organizer
      日本物理学会 第74回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] t-J模型におけるホール間相関と二種類の相分離状態2018

    • Author(s)
      佐藤諒、横山寿敏
    • Organizer
      日本物理学会 2018年秋期大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 強相関ハバード模型における点型不純物ポテンシャルの効果2018

    • Author(s)
      横山寿敏、佐藤諒、小林憲司
    • Organizer
      日本物理学会 2018年秋期大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 強相関電子系における異方性と超伝導状態との関係2018

    • Author(s)
      小林憲司、横山寿敏
    • Organizer
      日本物理学会 2018年秋期大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Variational approarch to impurity problem in Hubbard model---Effect of short-range antiferromagnetic order and one-body screening projector2018

    • Author(s)
      Hisatoshi Yokoyama, Ryo Sato, Kenji Kobayashi
    • Organizer
      31th International symposium on superconductivity
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Relationship between superconductivity and anisotropy in two-dimensional Hubbard model2018

    • Author(s)
      Kenji Kobayashi, Hisatoshi Yokoyama
    • Organizer
      31th International symposium on superconductivity
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Effect of impurity potential on superconductivity in strongly correlated Hubbard model2018

    • Author(s)
      Ryo Sato, Hisatoshi Yokoyama
    • Organizer
      31th International symposium on superconductivity
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 不純物ポテンシャルが強相関超伝導状態に及ぼす影響2018

    • Author(s)
      佐藤諒、横山寿敏
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 交替磁束秩序とd-波超伝導状態の共存・競合関係におけるバンド繰り込み効果2018

    • Author(s)
      小林憲司、横山 寿敏、栂裕太
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 点型不純物ポテンシャルが誘起するモット転移2018

    • Author(s)
      横山寿敏、佐藤諒、小林憲司
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] ハバード模型における反強磁性状態に対する不純物ポテンシャルの影響2017

    • Author(s)
      横山寿敏、佐藤諒、小林憲司、小形正男
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス(大阪府豊中市)
    • Year and Date
      2017-03-18
    • Related Report
      2016 Research-status Report
  • [Presentation] 交替磁束状態とd-波超伝導状態の共存・競合関係について II2017

    • Author(s)
      小林憲司、横山寿敏
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス(大阪府豊中市)
    • Year and Date
      2017-03-18
    • Related Report
      2016 Research-status Report
  • [Presentation] t-J模型における超伝導と反強磁性の競合に対するバンドくりこみ効果 II2017

    • Author(s)
      佐藤諒、横山寿敏
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス(大阪府豊中市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Rules for coexistence and exclusivity of two long-range orders induced from many-body variation theory2017

    • Author(s)
      Hisatoshi Yokoyama, Ryo Sato, Yuta Toga, Kenji Kobayashi
    • Organizer
      International Workshop on Strong Correlation and Angle-Resolved Photoemission Spectroscopy
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] t-J 模型における J 依存性と相分離2017

    • Author(s)
      佐藤諒、横山寿敏
    • Organizer
      日本物理学会 2017年秋期大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 強相関極限における交替磁束秩序とd-波超伝導状態の共存・競合関係2017

    • Author(s)
      小林憲司、横山 寿敏
    • Organizer
      日本物理学会 2017年秋期大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 横山寿敏、佐藤諒、栂裕太、小林憲司2017

    • Author(s)
      多体変分法による2秩序共存/排他性の一般則
    • Organizer
      日本物理学会 2017年秋期大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Impurity-induced Mott transition in doped Hubbard model2017

    • Author(s)
      Hisatoshi Yokoyama, Ryo Sato, Kenji Kobayashi
    • Organizer
      30th International Symposium on Superconductivity
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Interhole correlation and Phase Separation in t-J model2017

    • Author(s)
      Ryo Sato, Hisatoshi Yokoyama
    • Organizer
      30th International Symposium on Superconductivity
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Interplay between Staggered Flux and d-Wave Superconducting Orders in t-t'-J Model2017

    • Author(s)
      Kenji Kobayashi, Hisatoshi Yokoyama
    • Organizer
      30th International Symposium on Superconductivity
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Effects of Diagonal Hopping on Loop Currents in Fermionic Hubbard Model2017

    • Author(s)
      Yuta Toga, Hisatoshi Yokoyama
    • Organizer
      30th International Symposium on Superconductivity
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Band-renormalization effects on antiferromagnetism and d-wave superconductivity in two-dimensional t-J model2016

    • Author(s)
      Ryo Sato, Hisatoshi Yokoyama
    • Organizer
      29th International Symposium on Superconductivity
    • Place of Presentation
      Tokyo International Forum(東京都千代田区)
    • Year and Date
      2016-12-15
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Interplay between staggered flux and d-wave superconducting state in Hubbard model2016

    • Author(s)
      Kenji Kobayashi, Hisatoshi Yokoyama
    • Organizer
      29th International Symposium on Superconductivity
    • Place of Presentation
      Tokyo International Forum(東京都千代田区)
    • Year and Date
      2016-12-13
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Effects of impurity potential on antiferromagnetic and d-wave superconducting states in Hubbard model2016

    • Author(s)
      Hisatoshi Yokoyama, Ryo Sato, Kenji Kobayashi
    • Organizer
      29th International Symposium on Superconductivity
    • Place of Presentation
      Tokyo International Forum(東京都千代田区)
    • Year and Date
      2016-12-13
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 擬ギャップ状態候補としてのt-JモデルにおけるFlux相2016

    • Author(s)
      小形正男、横山寿敏
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      金沢大学角間キャンパス(石川県金沢市)
    • Year and Date
      2016-09-14
    • Related Report
      2016 Research-status Report
  • [Presentation] t-J 模型における相図とホールの役割2016

    • Author(s)
      佐藤諒、横山寿敏
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      金沢大学角間キャンパス(石川県金沢市)
    • Year and Date
      2016-09-14
    • Related Report
      2016 Research-status Report
  • [Presentation] 交替磁束状態とd-波超伝導状態の共存・競合関係について2016

    • Author(s)
      小林憲司、横山寿敏、小形正男
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      金沢大学角間キャンパス(石川県金沢市)
    • Year and Date
      2016-09-14
    • Related Report
      2016 Research-status Report
  • [Presentation] 乱れが反強磁性及びd-波超伝導状態に及ぼす効果について2016

    • Author(s)
      横山寿敏、佐藤諒、小林憲司
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      金沢大学角間キャンパス(石川県金沢市)
    • Year and Date
      2016-09-14
    • Related Report
      2016 Research-status Report
  • [Remarks] 横山寿敏(Hisatoshi Yokoyama)

    • URL

      http://www.cmpt.phys.tohoku.ac.jp/~yoko/yoko.html

    • Related Report
      2019 Annual Research Report
  • [Remarks] 横山 寿敏 ( Hisatoshi Yokoyama )

    • URL

      http://www.cmpt.phys.tohoku.ac.jp/~yoko/yoko.html

    • Related Report
      2018 Research-status Report
  • [Remarks] 横山 寿敏 ( Hisatoshi Yokoyama )

    • URL

      http://www.cmpt.phys.tohoku.ac.jp/~yoko/yoko.html

    • Related Report
      2017 Research-status Report

URL: 

Published: 2016-04-21   Modified: 2021-02-19  

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