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

• Project/Area Number: 26800199
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Condensed matter physics II
• Research Institution: The 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: ¥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.

Research Products

• [Journal Article] Kitaev-Heisenberg Hamiltonian for high-spin d7 Mott insulators (2018)
  • 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
  • Peer Reviewed
• [Journal Article] Monte Carlo Study of Magnetoresistance in a Chiral Soliton Lattice (2017)
  • 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
  • Peer Reviewed
• [Journal Article] Finite-temperature phase transition to a Kitaev spin liquid phase on a hyperoctagon lattice: A large-scale quantum Monte Carlo study (2017)
  • 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
  • Peer Reviewed
• [Journal Article] Chiral spin liquids at finite temperature in a three-dimensional Kitaev model (2017)
  • 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
  • Peer Reviewed
• [Journal Article] Global constraints on Z2 fluxes in two different anisotropic limits of a hypernonagon Kitaev model (2017)
  • 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
  • Peer Reviewed
• [Journal Article] Magnetoelectric Behavior from the S=1/2 Asymmetric Square Cupolas (2017)
  • 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
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Spin-Liquid-to-Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization (2017)
  • 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
  • Peer Reviewed
• [Journal Article] Quadrupole Order in the Frustrated Pyrochlore Tb2+xTi2-xO7+y (2016)
  • 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
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Quadrupole Order in the Frustrated Pyrochlore Tb2+xTi2－xO7+y (2016)
  • 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
  • Peer Reviewed
• [Journal Article] Numerical evidence of quantum melting of spin ice: quantum-classical crossover (2015)
  • Author(s): Yasuyuki Kato, Shigeki Onoda
  • Journal Title: Physical Review Letters Volume: 115 Issue: 7 Pages: 077202-077202
  • DOI: 10.1103/physrevlett.115.077202
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Magnetic three states of matter: A quantum Monte Carlo study of spin liquids (2015)
  • 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
  • Peer Reviewed
• [Journal Article] Quantum Triciriticality in Antiferromagnetic Ising Model with Transverse Field: A Quantum Monte-Carlo Study (2015)
  • Author(s): Yasuyuki Kato, Takahiro Misawa
  • Journal Title: Physical Review B Volume: 92 Issue: 17 Pages: 174419-174419
  • DOI: 10.1103/physrevb.92.174419
  • 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 relations (2015)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Generalized spin-wave theory: Application to the bilinear-biquadratic model (2014)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Numerical evidence of quantum melting of spin ice: quantum-classical crossover (2014)
  • Author(s): Kato Y., Onoda S.
  • Journal Title: arXiv Volume: n/a
  • 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)
• [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
• [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」
  • 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
• [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
• [Presentation] Finite-temperature phase transition to chiral spin liquids in anisotropic hypernonagon Kitaev models (2017)
  • Author(s): Yasuyuki Kato, Yoshitomo Kamiya, Joji Nasu, Yukitoshi Motome
  • Organizer: SCES 2017
  • Int'l Joint Research
• [Presentation] Finite-temperature phase transition to chiral spin liquids in anisotropic hypernonagon Kitaev models (2017)
  • Author(s): Yasuyuki Kato, Yoshitomo Kamiya, Joji Nasu, Yukitoshi Motome
  • Organizer: SPICE-Workshop Topology Matters
  • Int'l Joint Research
• [Presentation] Chiral Spin Liquids at Finite Temperature in a Three-Dimensional Kitaev Model (2017)
  • Author(s): Yasuyuki Kato, Yoshitomo Kamiya, Joji Nasu, Yukitoshi Motome
  • Organizer: Junjiro Kanamori Memorial International Symposium
  • 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
• [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
• [Presentation] Magnetoelectric Behavior from Asymmetric Unit and Chiral Twist in Antiferromagnetic Square Cupolas (2016)
  • 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
  • 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
• [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
• [Presentation] Quantum Monte-Carlo study on quantum magnets with a single ion cubic anisotropy (2015)
  • Author(s): Yasuyuki Kato
  • Organizer: SPICE-Workshop on Computational Quantum Magnetism
  • Place of Presentation: Mainz, Germany
  • Year and Date: 2015-05-22
  • 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
• [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
• [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
• [Presentation] Quantum Monte-Carlo study of deconfined bosonic spinons, a Higgs-confining transition, and two crossovers in quantum spin ice (2014)
  • 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