• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Unifying and Geometric Theory for Competing Orders in Low-Dimensional Magnets and Bose Systems

Research Project

Project/Area Number 20540375
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

TOTSUKA Keisuke  Kyoto University, 基礎物理学研究所, 准教授 (80291079)

Research Collaborator TANAKA Akihiro  物質材料研究機構, 主幹研究員
LECHEMINANT Philippe  Cergy-Pontoise University, 教授
CAPPONI Sylvain  University of Toulouse, 教授
Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsフラストレーション / スピン液体 / スピンネマティック / 多体交換相互作用 / トポロジカル秩序 / 磁化プラトー / 直交ダイマー模型 / 競合量子相 / スピンネマティック状態 / ベリー位相 / 量子らせん磁性体 / らせん磁性体
Research Abstract

An approach based on (bosonic) effective Hamiltonians has been developed in order to understand in a unifying and systematic manner the novel competing phases (vector-chiral, spin-nematic, etc.) in frustrated systems (specifically, quantum magnets with multiple-spin exchange interactions in 1D and 2D). The problem of magnetization plateaus has been revisited from the point of view of topological effects. It has been pointed out that a novel spin-liquid type plateaus with topological order may be realized in high magnetic fields.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (29 results)

All 2011 2010 2009 2008

All Journal Article (12 results) (of which Peer Reviewed: 11 results) Presentation (17 results)

  • [Journal Article] Effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu_2(BO_3)_22011

    • Author(s)
      J.Romhanyi, K.Totsuka, K.Penc
    • Journal Title

      Phys.Rev.B 82

      Pages: 24413-24413

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCU_2(BO_3)_22011

    • Author(s)
      J.Romhanyi, K.Totsuka, K.Penc
    • Journal Title

      Physical Review B

      Volume: 82

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Extended quantum dimer model and novel valence-bond phases2011

    • Author(s)
      K.Nakata, K.Totsuka
    • Journal Title

      Journal of Statistical Mechanics

    • NAID

      120002871154

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Supersymmetric Valence-Bond Solid Models-Hidden order and Dynamics-2011

    • Author(s)
      K.Totsuka, K.Hasebe
    • Journal Title

      Modern Physics Letters B

      Volume: (掲載決定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Supersolid phase of three-dimensional spin- and hardcore-boson models2010

    • Author(s)
      H.T.Ueda, K.Totsuka
    • Journal Title

      Phys.Rev.B 81

      Pages: 54442-54442

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Supersolid phase of three-dimensional spin- and hardcore-boson models2010

    • Author(s)
      H-T.Ueda, K.Totsuka
    • Journal Title

      Physical Review B 81

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dilute-Bose-Gas Approach to ground state phases of 3D quantum helimagnets under high magnetic field2010

    • Author(s)
      H-T.Ueda, K.Totsuka, T.Momoi
    • Journal Title

      Journal of Physics, Conference Series 200

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Magnon Bose-Einstein condensation and various phases of three-dimensonal quantum helimagnets under high magnetic field2009

    • Author(s)
      H.T.Ueda, K.Totsuka
    • Journal Title

      Phys.Rev.B 80

      Pages: 14417-14417

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Geometric phases and the magnetization process in quantum antiferromagnets2009

    • Author(s)
      A.Tanaka, K.Totsuka, X.Hu
    • Journal Title

      Phys.Rev.B 79

      Pages: 64412-64412

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Magnon Bose-Einstein condensation and various phases of three-dimensonal quantum helimagnets under high magnetic field2009

    • Author(s)
      H-T.Ueda, K.Totsuka
    • Journal Title

      Physical Review B 80

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geometric phases ad the magnetization process in quantum antiferromagnets2009

    • Author(s)
      A. Tanaka, K. Totsuka, X. Hu
    • Journal Title

      Physical Review B 79

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Magnon BEC and various phases of 3D quantum helimagnets under high magnetic field2009

    • Author(s)
      H-T. Ueda, K. Totsuka
    • Journal Title

      Physical Review B

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Hidden Order and Dynamics of SUSY VBS Models2010

    • Author(s)
      K.Totsuka
    • Organizer
      New Development of Numerical Simulations in Low-Dimensional Quantum Systems(招待講演)
    • Place of Presentation
      Yukawa Institute for Theoretical Physics, Kyoto
    • Year and Date
      2010-10-29
    • Related Report
      2010 Final Research Report
  • [Presentation] Hidden Order and Dynamics of SUSY VBS Models2010

    • Author(s)
      K.Totauka
    • Organizer
      New Development of Numerical Simulations in Low-Dimensional Quantum Systems
    • Place of Presentation
      Yukawa Institute for Theoretical Physics, Kyoto(招待講演)
    • Year and Date
      2010-10-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] Contractor Renormalization Study of 1D-and 2D Spin Systems with Ring-Exchange Interactions2010

    • Author(s)
      K.Totsuka
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学中百舌鳥キャンパス、堺市
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Bond-operator approach to phase diagram and low-lying excitations of Shastry-Sutherland model2010

    • Author(s)
      K.Totsuka
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学中百舌鳥キャンパス、堺市
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] A Unifying Approach to Competing Orders in Frustrated Magnets2010

    • Author(s)
      K.Totsuka
    • Organizer
      International Conference on Frustrated Spin Systems, Cold Atoms, Nanomaterials (satellite meeting of StatPhys24)(招待講演)
    • Place of Presentation
      Sheraton Hanoi Hotel, Hanoi, Vietnam
    • Year and Date
      2010-07-15
    • Related Report
      2010 Final Research Report
  • [Presentation] A Unifying Approach to Competing Orders in Frustrated Magnets2010

    • Author(s)
      K.Totsuka
    • Organizer
      Satellite Meeting of StatPhys24(Hanoi)
    • Place of Presentation
      Sheraton Hanoi Hotel, Hanoi, Vietnam(招待講演)
    • Year and Date
      2010-07-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Possible Featureless Spin Liquids at Magnetization Plateaus2010

    • Author(s)
      K.Totsuka
    • Organizer
      Unconventional Magnetism in High Fields(ASG2010)
    • Place of Presentation
      Max-Planck Institute, Dresden, Germany(招待講演)
    • Year and Date
      2010-06-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] フラストレートしたbcc格子磁性体に現われるネマティック秩序相2010

    • Author(s)
      植田浩明、戸塚圭介、桃井勉
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学津島キャンパス
    • Year and Date
      2010-03-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] スピンネマティック相に対するボゾンペアリングからのアプローチ2009

    • Author(s)
      戸塚圭介、植田浩明
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学黒髪キャンパス
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] スパイラル構造を持つ一次元スピン鎖で構成された3次元磁性体における飽和磁場付近の結合マグノンBEC2009

    • Author(s)
      植田浩明、戸塚圭介、桃井勉
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学黒髪キャンパス
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] Possible featureless spin liquid phases in high magnetic field2009

    • Author(s)
      K.Totsuka
    • Organizer
      MPI-PKS workshop "Topological Order : From Quantum Hall Systems to Magnetic Materials"
    • Place of Presentation
      Max-Planck Institute for the physics of complex systems
    • Year and Date
      2009-07-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] bcc格子上のハードコアボゾンモデルの超固体状態の安定性2009

    • Author(s)
      植田浩明, 戸塚圭介
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] 強磁場下スピン系におけるZ2ゲージ理論とfractionalization2008

    • Author(s)
      戸塚圭介, 田中秋広
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学上田キャンパス
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] スパイラル構造を持つ一次元スピン鎖で構成された3次元磁性体の飽和磁場付近のBECと状態図2008

    • Author(s)
      植田浩明, 戸塚圭介
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学上田キャンパス
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] Magnon BEC and Unconventional Quantum Orders2008

    • Author(s)
      K.Totsuka
    • Organizer
      Highly Frustrated Magnetism 2008
    • Place of Presentation
      Technical University Braunschweig, Germany
    • Year and Date
      2008-09-10
    • Related Report
      2010 Final Research Report
  • [Presentation] Bose-condensation approach to unconventional orders in two-dimensional frustrated systems2008

    • Author(s)
      K. Totsuka, S. Capponi, P. Lecheminant, H-T. Ueda
    • Organizer
      International Conference onHighly Frustrated Systems (HFM2008)
    • Place of Presentation
      ブラウンシュバイク工科大学(ドイツ)
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometric Aproachto Magnetization Plateaus2008

    • Author(s)
      K.Totsuka
    • Organizer
      Topological Aspects in Solid State Physics(招待講演)
    • Place of Presentation
      Yukawa Institute for Theoretical Physics, Kyoto
    • Year and Date
      2008-06-27
    • Related Report
      2010 Final Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi