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Theoretical Study of Frustration Effects in Strongly Correlated Electron Systems

Research Project

Project/Area Number 16540313
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Condensed matter physics II
Research InstitutionThe University of Tokyo (2006)
Kyoto University (2004-2005)

Principal Investigator

TSUNETSUGU Hirokazu  The University of Tokyo, Institute for Solid State Physics, Professor, 物性研究所, 教授 (80197748)

Project Period (FY) 2004 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2005: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2004: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywordsstrongly correlated electron systems / frustration / spin liquid / Kagome lattice / pyrochlore lattice / metal-insulator transition / spin-orbital model / magnon crystal / 量子スピン / 三角格子 / 軌道秩序 / 磁気秩序
Research Abstract

Mechanism of structure and magnetic transitions in vanadium spinel oxides, AV_2O_4 (A=Zn, Mg, Cd) was studied. We derived an effective low-energy model for d-electron orbital and spin degrees of freedom, and determined its phase diagram by a mean field analysis and Monte Carlo simulations. We showed that the observed structural transition is ascribed to orbital ordering. We also showed that this ordering leads to spatially anisotropy of spin-spin interactions and that this derives the observed magnetic ordering at a lower temperature.
Strongly correlated electrons on the Kagome lattice were studied at half filling by using a cluster extension of dynamical mean field theory. We showed the presence of Mott metal-insulator transition but that the metallic phase is much more stable than the case of unfrustrated lattices. We also found very unusual one-dimensional spin correlations near the Mott transition.
Thermodynamics of frustrated quantum spin systems was studied near saturation field. We proposed an effective lattice gas model to describe magnons in fully polarized state that are confined in a small finite region, and solved this model both analytically and numerically. We showed the presence of magnon liquid-solid transition, and identified its universality class for various frustrated systems.
The origin of spin-liquid like behavior observed in the triangular spin-1 material NiGa_2S_4 was also studied. We proposed a scenario of spin nematic phase where spin quadruples show long range order. We calculated the effects of quantum fluctuations of quadruples on various low-temperature properties and showed that the results are consistent with many of the observed experimental data.

Report

(4 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (43 results)

All 2007 2006 2005 2004

All Journal Article (43 results)

  • [Journal Article] Spin nematic order in S=1 triangular antiferromagnets2007

    • Author(s)
      M.Arikawa, H.Tsunetsugu
    • Journal Title

      J. Mag. Mag. Mat. 310

      Pages: 1308-1308

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Anomalous magnetic properties near Mott transition in Kagome lattice Hubbard model2007

    • Author(s)
      T.Ohashi, S.-i.Suga, N.Kawakami, H.Tsunetsugu
    • Journal Title

      J. Mag. Mag. Mat. 310

      Pages: 879-879

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] The spin nematic state in triangular antiferromagnets2007

    • Author(s)
      H.Tsunesugu, M.Arikawa
    • Journal Title

      J. Phys. : Cond. Matt. 19

      Pages: 145248-145248

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Lattice gas description of phyrochlore and checkerboard antiferromagnets in a strong magnetic field2007

    • Author(s)
      M.Zhitomirsky, H.Tsunetsugu
    • Journal Title

      Phys. Rev. B (in press)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Spin nematic order in S=1 triangular antiferromagnets2007

    • Author(s)
      M.Arikawa, H.Tsunetsugu
    • Journal Title

      J.Mag.Mag.Mat. 310

      Pages: 1308-1308

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Anomalous magnetic properties near Mott transition in Kagome lattice Hubbard model2007

    • Author(s)
      T.Ohashi, S.-i.Suga, N.Kawakami, H.Tsunetsugu
    • Journal Title

      J.Mag.Mag.Mat. 310

      Pages: 879-879

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The spin nematic state in triangular antiferromagnets2007

    • Author(s)
      H.Tsunetsugu, M.Arikawa
    • Journal Title

      J.Phys.:Cond.Matt. 19

      Pages: 145248-145248

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Lattice gas description of phyrochlore and checkerboard antiferromagnets in a strong magnetic field2007

    • Author(s)
      M.Zhitomirsky, H.Tsunetsugu
    • Journal Title

      Phys.Rev.B (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The spin nematic state in triangular antiferromagnets2007

    • Author(s)
      H.Tsunetsugu, M.Arikawa
    • Journal Title

      J. Phys. : Condens. Matter 19

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Spin Nematic Order in S=1 Triangular Antiferromagnets2007

    • Author(s)
      M.Arikawa, H.Tsunetsugu
    • Journal Title

      J. Mag. Mag. Mat. 310

      Pages: 1308-1310

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Lattice gas description of pyrochlore and checkerboard antiferromagnets in a strong magnetic field2007

    • Author(s)
      M.Zhitomirsky, H.Tsunetsugu
    • Journal Title

      Phys. Rev. B. (in press)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A Simple Model for the Checkerboard Pattern of Modulated Hole Densities in Underdoped Cuprates2006

    • Author(s)
      T.M.Rice, Hirokazu Tsunetsugu
    • Journal Title

      Eur. Phys. J. B 49

      Pages: 1-1

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Mott Transition in Kagome Lattice Hubbard Model2006

    • Author(s)
      T.Ohashi, N.Kawakami, H.Tsunetsugu
    • Journal Title

      Phys. Rev. Lett. 97

      Pages: 66401-66401

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Spin Nematic Phase in S=1 Triangular Antiferromagnets2006

    • Author(s)
      H.Tsunetsugu, M.Arikawa
    • Journal Title

      J. Phys. Soc. Jpn. 75

      Pages: 83701-83701

    • NAID

      110004799188

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A Simple Model for the Checkerboard Pattern of Modulated Hole Densities in Underdoped Cuprates2006

    • Author(s)
      T.M.Rice, Hirokazu Tsunetsugu
    • Journal Title

      Eur.Phys.J. B49

      Pages: 1-1

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Mott Transition in Kagome Lattice Hubbard Model2006

    • Author(s)
      T.Ohashi, N.Kawakami, H.Tsunetsugu
    • Journal Title

      Phys.Rev.Lett. 97

      Pages: 66401-66401

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Spin Nematic Phase in S=1 Triangular Antiferromagnets2006

    • Author(s)
      H.Tsunetsugu, M.Arikawa
    • Journal Title

      J.Phys.Soc.Jpn. 75

      Pages: 83701-83701

    • NAID

      110004799188

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Spin nematic phase in S=1 triangular antiferromagnets2006

    • Author(s)
      H.Tsunetsugu, M.Arikawa
    • Journal Title

      J. Phys. Soc. Jpn 75

    • NAID

      110004799188

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A simple model for the checkerboard pattern of modulated hole densities in underdoped cuprates2006

    • Author(s)
      T.M.Rice, H.Tsunetsugu
    • Journal Title

      European Physical Journal B 49・1

      Pages: 1-4

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Interplay among Spin, Orbital and Lattice Degrees of Freedom in t2g Electron Systems with Edge-Sharing Network of Octahedra2005

    • Author(s)
      Yukitoshi Motome, Hirokazu Tsunetsugu, Toshiya Hikihara, Nic Shannon, Karlo Penc
    • Journal Title

      Prog. Theor. Phys. Suppl. 159

      Pages: 314-314

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Orbital ordering and one-dimensional magnetic correlation in vanadium spinel oxides AV204 (A=Zn, Mg, or Cd)2005

    • Author(s)
      Yukitoshi Motome, Hirokazu Tsunetsugu
    • Journal Title

      Physica B 359-361

      Pages: 1222-1222

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Spin Frustration and Orbital Order in Vanadium Spinels2005

    • Author(s)
      Yukitoshi Motome, Hirokazu Tsunetsugu
    • Journal Title

      J. Phys. Soc. Jpn. 74 Suppl.

      Pages: 208-208

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Spin Disorder on a Triangular Lattice2005

    • Author(s)
      Satoru Nakatsuji, Yusuke Nambu, Hiroshi Tonomura, Osamu Sakai, Seth Jonas, Collin Broholm, Hirokazu Tsunetsugu, Yiming Qiu, Yoshiteru Maeno
    • Journal Title

      Science 309

      Pages: 1697-1697

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Theory of Successive Transitions in Vanadium Spinels and Order of Orbitals and Spins2005

    • Author(s)
      Y.Motome, H.Tsunetsugu
    • Journal Title

      Prog. Theor. Phys. Suppl. 160

      Pages: 203-203

    • NAID

      110004029265

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] High Field Properties of Geometrically Frustrated Magnets2005

    • Author(s)
      M.E.Zhitomirsky, Hirokazu Tsunetsugu
    • Journal Title

      Prog. Theor. Phys. Suppl. 160

      Pages: 361-361

    • NAID

      110004029273

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Interplay among Spin, Orbital and Lattice degrees of Freedom in t2g Electron Systems with Edge-Sharing Network of Octahedra2005

    • Author(s)
      Yukitoshi Motome, Hirokazu Tsunetsugu, Toshiya Hikihara, Nic Shannon, Karlo Penc
    • Journal Title

      Prog.Theor.Phys.Suppl. 159

      Pages: 314-314

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Orbital ordering and one-dimensional magnetic correlation in vanadium spinel oxides AV2O4(A=Zn, Mg, or Cd)2005

    • Author(s)
      Yukitoshi Motome, Hirokazu Tsunetsugu
    • Journal Title

      Physica B359-361

      Pages: 1222-1222

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Spin Frustration and Orbital Order in Vanadium Spinels2005

    • Author(s)
      Yukitoshi Motome, Hirokazu Tsunetsugu
    • Journal Title

      J.Phys.Soc.Jpn.Suppl. 74

      Pages: 208-208

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Theory of Successive Transitions in Vanadium Spinels and Order of Orbitals and Spins2005

    • Author(s)
      Y.Motome, H.Tsunetsugu
    • Journal Title

      Prog.Theor.Phys.Suppl. 160

      Pages: 203-203

    • NAID

      110004029265

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] High Field Properties of Geometrically Frustrated Magnets2005

    • Author(s)
      M.E.Zhitomirsky, Hirokazu Tsunetsugu
    • Journal Title

      Prog.Theor.Phys.Suppl. 160

      Pages: 361-361

    • NAID

      110004029273

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Theory of successive transitions in vanadium spinels and order of orbitals and spins2005

    • Author(s)
      Y.Motome, H.Tsunetsugu
    • Journal Title

      Progress of Theoretical Physics Supplement 160

      Pages: 203-232

    • NAID

      110004029265

    • Related Report
      2005 Annual Research Report
  • [Journal Article] High field properties of geometrically frustrated magnets2005

    • Author(s)
      M.Zhitomirsky, H.Tsunetsugu
    • Journal Title

      Progress of Theoretical Physics Supplement 160

      Pages: 361-382

    • NAID

      110004029273

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Interplay among spin, orbital and lattice degrees of freedom in t_2g electron systems with edge-sharing network of octahedra2005

    • Author(s)
      Y.Motome, H.Tsunetsugu, T.Hikihara, N.Shannon, K.Penc
    • Journal Title

      Progress of Theoretical Physics Supplement 159

      Pages: 314-318

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Spin disorder on a triangular lattice2005

    • Author(s)
      S.Nakatsuji, Y.Nambu, H.Tonomura, 0.Sakai, S.Jonas, C.Broholm, H.Tsunetsugu他
    • Journal Title

      Science 309

      Pages: 1697-1700

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Orbital ordering and one-dimensional magnetic correlation in vanadium spinel oxides AV204 (A=Zn, Mg or Cd)2005

    • Author(s)
      Y.Motome, H.Tsunetsugu
    • Journal Title

      Physica B - Condensed Matter 359

      Pages: 1222-1224

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Spin Frustration and Orbital Order in Vanadium Spinels2005

    • Author(s)
      Y.Motome, H.Tsunetsugu
    • Journal Title

      Journal of Physical Society of Japan Supplement 74

      Pages: 208-211

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Orbital ordering and one-dimensional magnetic correlation in vanadium spinel oxides AV_2O_4(A=Zn,Mg,or Cd)2005

    • Author(s)
      Yukitoshi Motome, Hirokazu Tsunetsugu
    • Journal Title

      Physica B (印刷中)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Exact low-temperature behavior of a kagome antiferromagnet at high fields2004

    • Author(s)
      M.E.Zhitomirsky, Hirokazu Tsunetsugu
    • Journal Title

      Phys. Rev. B 70

      Pages: 100403-100403

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Orbital and magnetic transitions in geometrically frustrated vanadium spinels : Monte Carlo study of an effective spin-orbital-lattice coupled model2004

    • Author(s)
      Yukitoshi Motome, Hirokazu Tsunetsugu
    • Journal Title

      Phys. Rev. B 70

      Pages: 184427-184427

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Exact low-temperature behavior of kagome antiferromagnet at high fields2004

    • Author(s)
      M.E.Zhitomirsky, Hirokazu Tsunetsugu
    • Journal Title

      Phys.Rev. B70

      Pages: 100403-100403

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Orbital and magnetic transitions in geometrically frustrated vanadium spinels : Monte Carlo study of an effective spin-orbital-lattice coupled model2004

    • Author(s)
      Yukitoshi Motome, Hirokazu Tsunetsugu
    • Journal Title

      Phys.Rev. B70

      Pages: 184427-184427

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Orbital and magnetic transitions in geometrically frustrated vanadium spinls : Monte Carlo study of an effective spin-orbital-lattice model2004

    • Author(s)
      Yukitoshi Motome, Hirokazu Tsunetsugu
    • Journal Title

      Physical Review B 70・18

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Exact low-temperature behavior of a kagome antiferromagnet at high fields2004

    • Author(s)
      M.E.Zhitomirsky, Hirokazu Tsunetsugu
    • Journal Title

      Physical Review B 70・10

    • Related Report
      2004 Annual Research Report

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Published: 2004-04-01   Modified: 2020-05-15  

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