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Quantum Monte Carlo study on quantum magnets and bosonic gases coupled to a cavity field based on multidiscontinuity algorithm

Research Project

Project/Area Number 26800199
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Condensed matter physics II
Research InstitutionThe University of Tokyo (2015-2017)
The Institute of Physical and Chemical Research (2014)

Principal Investigator

Kato Yasuyuki  東京大学, 大学院工学系研究科(工学部), 助教 (50708534)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords量子スピン系 / 量子モンテカルロ法 / 量子スピン液体 / スピン軌道相互作用 / 電気磁気効果 / 磁性 / 量子三重臨界点 / 立方磁気異方性 / 冷却原子気体
Outline of Final Research Achievements

We employ the world-line quantum Monte-Carlo (QMC) method for quantum many body systems. The QMC method has been widely used since it obtained numerically unbiased exact solution of theoretical models including many body interactions. In addition to QMC method, we also employ other methods (e.g., the mean-field theory, the perturbation theory, the exact diagonalization method) to investigate topics under intense study such as multicomponent ultracold atomic gases, quantum spin liquids, chiral soliton lattice. As a result, we have obtained new insights on these topics.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (33 results)

All 2018 2017 2016 2015 2014

All Journal Article (15 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 14 results,  Acknowledgement Compliant: 7 results,  Open Access: 3 results) Presentation (18 results) (of which Int'l Joint Research: 5 results,  Invited: 1 results)

  • [Journal Article] Kitaev-Heisenberg Hamiltonian for high-spin d7 Mott insulators2018

    • Author(s)
      Ryoya Sano, Yasuyuki Kato, and Yukitoshi Motome
    • Journal Title

      Physical Review B

      Volume: 97 Issue: 1

    • DOI

      10.1103/physrevb.97.014408

    • NAID

      130007511109

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Monte Carlo Study of Magnetoresistance in a Chiral Soliton Lattice2017

    • Author(s)
      Okumura Shun、Kato Yasuyuki、Motome Yukitoshi
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 6 Pages: 063701-063701

    • DOI

      10.7566/jpsj.86.063701

    • NAID

      40021221628

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite-temperature phase transition to a Kitaev spin liquid phase on a hyperoctagon lattice: A large-scale quantum Monte Carlo study2017

    • Author(s)
      Petr A. Mishchenko, Yasuyuki Kato, and Yukitoshi Motome
    • Journal Title

      Physical Review B

      Volume: 96 Issue: 12

    • DOI

      10.1103/physrevb.96.125124

    • Related Report
      2017 Annual Research 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 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global constraints on Z2 fluxes in two different anisotropic limits of a hypernonagon Kitaev model2017

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

      Physica B: Condensed Matter

      Volume: 536 Pages: 405-407

    • DOI

      10.1016/j.physb.2017.08.008

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Magnetoelectric Behavior from the S=1/2 Asymmetric Square Cupolas2017

    • Author(s)
      Y. Kato, K. Kimura, A. Miyake, M. Tokunaga, A. Matsuo, K. Kindo, M. Akaki, M. Hagiwara, M. Sera, T. Kimura, and Y. Motome
    • Journal Title

      Phys. Rev. Lett

      Volume: 118 Issue: 10 Pages: 1076011-5

    • DOI

      10.1103/physrevlett.118.107601

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [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] Quadrupole Order in the Frustrated Pyrochlore Tb2+xTi2-xO7+y2016

    • Author(s)
      H. Takatsu, S. Onoda, H. Takatsu, S. Kittaka, A. Kasahara, Y. Kono, T. Sakakibara, Y. Kato, B. Fåk, J. Ollivier, J. W. Lynn, T. Taniguchi, M. Wakita, H. Kadowaki
    • Journal Title

      Physical Review Letters

      Volume: 116 Issue: 21 Pages: 2172011-5

    • DOI

      10.1103/physrevlett.116.217201

    • NAID

      120005848239

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Quadrupole Order in the Frustrated Pyrochlore Tb2+xTi2-xO7+y2016

    • Author(s)
      H. Takatsu, S. Kittaka, A. Kasahara, Y. Kono, T. Sakakibara, Y. Kato, S. Onoda, B. F_k, J. Ollivier, J. W. Lynn, T. Taniguchi, M. Wakita, H. Kadowaki
    • Journal Title

      Physical Review Letters

      Volume: 印刷中

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Numerical evidence of quantum melting of spin ice: quantum-classical crossover2015

    • Author(s)
      Yasuyuki Kato, Shigeki Onoda
    • Journal Title

      Physical Review Letters

      Volume: 115 Issue: 7 Pages: 077202-077202

    • DOI

      10.1103/physrevlett.115.077202

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Magnetic three states of matter: A quantum Monte Carlo study of spin liquids2015

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

      Physical Review B

      Volume: 92 Issue: 10 Pages: 100403-100403

    • DOI

      10.1103/physrevb.92.100403

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quantum Triciriticality in Antiferromagnetic Ising Model with Transverse Field: A Quantum Monte-Carlo Study2015

    • Author(s)
      Yasuyuki Kato, Takahiro Misawa
    • Journal Title

      Physical Review B

      Volume: 92 Issue: 17 Pages: 174419-174419

    • DOI

      10.1103/physrevb.92.174419

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Cubic-quintic nonlinearity in superfluid Bose-Bose mixtures in optical lattices: Heavy solitary waves, barrier-induced criticality, and current-phase relations2015

    • Author(s)
      Ippei Danshita, Daisuke Yamamoto, Yasuyuki Kato
    • Journal Title

      Physical Review A

      Volume: 91 Issue: 1 Pages: 013630-013630

    • DOI

      10.1103/physreva.91.013630

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Generalized spin-wave theory: Application to the bilinear-biquadratic model2014

    • Author(s)
      Muniz R.A., Kato Y., and Batista C.D.
    • Journal Title

      Prog. Theor. Exp. Phys.

      Volume: 2014 Issue: 8 Pages: 83I01-0

    • DOI

      10.1093/ptep/ptu109

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Numerical evidence of quantum melting of spin ice: quantum-classical crossover2014

    • Author(s)
      Kato Y., Onoda S.
    • Journal Title

      arXiv

      Volume: n/a

    • Related Report
      2014 Research-status Report
    • Open Access / Acknowledgement Compliant
  • [Presentation] ハイパーノナゴン格子キタエフ模型の基底状態解析2018

    • Author(s)
      加藤康之, 紙屋佳知, 那須譲治, 求幸年
    • Organizer
      日本物理学会第73回年次大会(2018年)
    • Related Report
      2017 Annual Research Report
  • [Presentation] 正四角台塔系における磁気秩序の 多極子分解と電気磁気応答2017

    • Author(s)
      加藤康之, 木村健太, 三宅厚志, 徳永将史, 松尾晶, 金道浩一, 赤木暢, 萩原政幸, 世良正一, 木村剛, 求幸年
    • Organizer
      日本物理学会 第72回年次大会(2017年)
    • Place of Presentation
      大阪大学,大阪府豊中市
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] ハイパーノナゴン格子キタエフ模型の異方極限における3次元カイラルスピン液体への有限温度相転移2017

    • Author(s)
      加藤康之
    • Organizer
      研究会「第二回 量子スピン液体研究の新展開」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 正四角台塔系が示す強誘電性を伴う電気磁気効果の理論的研究2017

    • Author(s)
      加藤康之,求幸年
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 3次元カイラルスピン液体への有限温度相転移:ハイパーノナゴン格子キタエフ模型の異方極限におけるモンテカルロシミュレーション2017

    • Author(s)
      加藤康之, 紙屋佳知, 那須譲治, 求幸年
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Finite-temperature phase transition to chiral spin liquids in anisotropic hypernonagon Kitaev models2017

    • Author(s)
      Yasuyuki Kato, Yoshitomo Kamiya, Joji Nasu, Yukitoshi Motome
    • Organizer
      SCES 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Finite-temperature phase transition to chiral spin liquids in anisotropic hypernonagon Kitaev models2017

    • Author(s)
      Yasuyuki Kato, Yoshitomo Kamiya, Joji Nasu, Yukitoshi Motome
    • Organizer
      SPICE-Workshop Topology Matters
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Chiral Spin Liquids at Finite Temperature in a Three-Dimensional Kitaev Model2017

    • Author(s)
      Yasuyuki Kato, Yoshitomo Kamiya, Joji Nasu, Yukitoshi Motome
    • Organizer
      Junjiro Kanamori Memorial International Symposium
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 反強磁性正四角台塔系 (A(TiO)Cu4(PO4)4 (A = Ba, Sr))の磁化曲線と電気磁気効果2016

    • Author(s)
      加藤康之, 木村健太, 三宅厚志, 徳永将史, 松尾晶, 金道浩一, 赤木暢, 萩原政幸, 世良正一, 木村剛, 求幸年
    • Organizer
      第10回 物性科学領域横断研究会 (領域合同研究会)
    • Place of Presentation
      神戸大学,兵庫県神戸市
    • Year and Date
      2016-12-09
    • Related Report
      2016 Research-status Report
  • [Presentation] 反強磁性カイラル正四角台塔系 (A(TiO)Cu4(PO4)4 (A=Ba, Sr))の磁化曲線と電気磁気効果2016

    • Author(s)
      加藤康之, 木村健太, 三宅厚志, 徳永将史, 松尾晶, 金道浩一, 赤木暢, 萩原政幸, 世良正一, 木村剛, 求幸年
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      金沢大学,石川県金沢市
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Magnetoelectric Behavior from Asymmetric Unit and Chiral Twist in Antiferromagnetic Square Cupolas2016

    • Author(s)
      Yasuyuki Kato, Kenta Kimura, Atsushi Miyake, Masashi Tokunaga, Akira Matsuo, Koichi Kindo, Mitsuru Akaki, Masayuki Hagiwara, Masakazu Sera, Tsuyoshi Kimura, and Yukitoshi Motome
    • Organizer
      the 8th International Conference on Highly Frustrated Magnetism 2016 (HFM 2016)
    • Place of Presentation
      Taipei, Taiwan
    • Year and Date
      2016-09-07
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] J1-J2 横磁場イジング模型における量子三重臨界点の量子モンテカルロシミュレーション2015

    • Author(s)
      加藤康之、三澤貴宏
    • Organizer
      東大物性研短期研究会 「スピン系物理の深化と最前線」
    • Place of Presentation
      東京大学柏キャンパス,千葉県柏市
    • Year and Date
      2015-11-18
    • Related Report
      2015 Research-status Report
  • [Presentation] 横磁場イジング模型における量子三重臨界点:量子モンテカルロ法を用いた解析2015

    • Author(s)
      加藤康之、三澤貴宏
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      関西大学,大阪府吹田市
    • Year and Date
      2015-09-17
    • Related Report
      2015 Research-status Report
  • [Presentation] Quantum Monte-Carlo study on quantum magnets with a single ion cubic anisotropy2015

    • Author(s)
      Yasuyuki Kato
    • Organizer
      SPICE-Workshop on Computational Quantum Magnetism
    • Place of Presentation
      Mainz, Germany
    • Year and Date
      2015-05-22
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 立方磁気異方性のある量子磁性体の量子モンテカルロシミュレーション:磁気秩序の消失2015

    • Author(s)
      Kato Y., Kawashima N.
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      東京都新宿区
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 二成分ボーズ・ハバード模型の量子三重臨界点と表面臨界性2014

    • Author(s)
      Kato Y.
    • Organizer
      第4回 強相関電子系理論の最前線
    • Place of Presentation
      和歌山県東牟婁郡
    • Year and Date
      2014-12-19 – 2014-12-21
    • Related Report
      2014 Research-status Report
  • [Presentation] 量子スピンアイス模型の量子モンテカルロシミュレーション:非閉じ込めスピノン,ヒッグス閉じ込め転移,2つのクロスオーバー2014

    • Author(s)
      Kato Y., Onoda S.
    • Organizer
      日本物理学会「秋季大会」
    • Place of Presentation
      愛知県春日井市
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] Quantum Monte-Carlo study of deconfined bosonic spinons, a Higgs-confining transition, and two crossovers in quantum spin ice2014

    • Author(s)
      Kato Y.
    • Organizer
      New Horizon of Strongly Correlated Physics 2014
    • Place of Presentation
      千葉県柏市
    • Year and Date
      2014-06-16 – 2014-07-04
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2020-05-15  

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