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2009 Fiscal Year Final Research Report

Monte Carlo Study of Frustrated Quantum Systems and Spin Liquids

Research Project

  • PDF
Project/Area Number 19340109
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionThe University of Tokyo

Principal Investigator

KAWASHIMA Naoki  The University of Tokyo, 物性研究所, 教授 (30242093)

Co-Investigator(Renkei-kenkyūsha) HARADA Kenji  京都大学, 情報学研究科, 助教 (80303882)
SUZUKI Takafumi  東京大学, 物性研究所, 助教 (40444096)
TOMITA Yusuke  東京大学, 物性研究所, 助教 (50361663)
Project Period (FY) 2007 – 2009
Keywords統計力学 / 計算物理 / モンテカルロ法 / ボーズ凝縮 / 量子臨界現象
Research Abstract

By using newly developed Monte Carlo algorithms, we investigated a number of quantum/classical many-body systems aiming at clarification of novel quantum phases and critical phenomena. In particular, we achieved the following : (1) We obtained conditions for realizing the 1/2 plateau in the magnetization curve of S=1/2 Shastry-Southerland model. (2) We obtained an evidence for the deconfined critical phenomena in SU(N) Heisenberg model. (3) We clarified the order of the phase transition in the frustrated XXZ model on a BCT lattice.

  • Research Products

    (11 results)

All 2010 2009 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (5 results) Remarks (1 results)

  • [Journal Article] Finite-size scaling for quantum criticality above the upper critical dimension : Superfluid Mott-insulator transition in three dimensions2010

    • Author(s)
      Y. Kato, N. Kawashima
    • Journal Title

      Phys.Rev. E81

      Pages: 011123(1-7)

    • Peer Reviewed
  • [Journal Article] Antiferromagnetic to valence-bond- solid transitions in two-dimensional SU(N) Heisenberg models with multispin interactions2009

    • Author(s)
      J. Lou, A.W. Sandvik, N. Kawashima
    • Journal Title

      Phys.Rev. B80

      Pages: 180414(1-4)

    • Peer Reviewed
  • [Journal Article] Finite-Temperature Transition in the Spin-Dimer Antiferromagnet BaCuSi2O62009

    • Author(s)
      Y. Kamiya, N. Kawashima, C.D. Batista
    • Journal Title

      J.Phys.Soc.Jpn. 78

      Pages: 094008-094015

    • Peer Reviewed
  • [Journal Article] Antiferromagnetic to valence-bond-solid transitions in two-dimensional SU(N) Heisenberg models with multispin interactions2009

    • Author(s)
      Jie Lou, Anders W. Sandvik, Naoki Kawashima
    • Journal Title

      Phys.Rev. B80

      Pages: R180414(1-4)

    • Peer Reviewed
  • [Journal Article] Direct Mapping of the Finite Temperature Phase Diagram of Strongly Correlated Quantum Models2009

    • Author(s)
      Qi Zhou, Yasuyuki Kato, Naoki Kawashima, Nandini Trivedi
    • Journal Title

      Phys.Rev.Lett. 103

      Pages: 085701(1-4)

    • Peer Reviewed
  • [Presentation] 分離固定点からのクロスオーバーであらわれる一次相転移2010

    • Author(s)
      紙屋佳知, 川島直輝, Cristian D. Batista
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      20100320-20100323
  • [Presentation] MERA Study of Quantum Spin Models on Triangular Lattice (invited)2009

    • Author(s)
      Kenji Harada, Naoki Kawashima
    • Organizer
      Workshop on Quantum Information Science and Many-Body Physics
    • Place of Presentation
      NCKU, Tainan, Taiwan
    • Year and Date
      2009-12-20
  • [Presentation] Transitions from VBS State to Neel State (invited)2009

    • Author(s)
      Naoki Kawashima
    • Organizer
      CCP2009
    • Place of Presentation
      The Grand Hi-Lai Hotel, Kaohsiung, Taiwan
    • Year and Date
      2009-12-17
  • [Presentation] 極低温ボーズ粒子系の数値シミュレーション2009

    • Author(s)
      川島直輝
    • Organizer
      第14回久保記念シンポジウム
    • Place of Presentation
      御茶ノ水
    • Year and Date
      2009-10-17
  • [Presentation] Cold Atoms and Simulation of Bosonic Systems (invited)2009

    • Author(s)
      Naoki Kawashima
    • Organizer
      International Conference on Recent Progress in Many-Body Theories
    • Place of Presentation
      Ohio State University Columbus, Ohio, USA
    • Year and Date
      2009-07-28
  • [Remarks]

    • URL

      http://kawashima.issp.u-tokyo.ac.jp/

URL: 

Published: 2011-06-18   Modified: 2016-04-21  

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