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Devil's Staircase in Semimetals

Research Project

Project/Area Number 07804020
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体物性Ⅱ(磁性・金属・低温)
Research InstitutionUniversity of Tokyo

Principal Investigator

UEDA Kazuo  Univ. of Tokyo, Inst. for Solid State Physics, Professor, 物性研究所, 教授 (70114395)

Co-Investigator(Kenkyū-buntansha) KONTANI Hiroshi  Univ. of Tokyo, Inst. for Solid State Phys., Research Associate, 物性研究所, 助手 (90272533)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1996: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1995: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsKondo lattice mode / semimetal / devil's staircas / frustration / CeSb / RKKY interaction / Friedel oscillations / large Fermi surface / デビルズステアケース / CeBi / CeP
Research Abstract

Among the magnetic materials known so far, CeSb has the most complex phase diagram as a function of temperature and magnetic field. The complex magnetic phase diagram is know as the devil's staircase. Generally, the series of CeX (X=P,As, Bi, Sb) have complex magnetic phase diagrams in different degree, which suggeststhat there is a common mechanism for the devil's staircase observed in CeX.A characteristic feature of CeX is smallness of carriers. The carriers of CeX consist of holes at the GAMMA point and electrons at the X points. Under this situation, a new type of scattering processes from holes to electrons and vice versa accompanied by spin exchange with f-spins. This process may be calledoff-diagonal exchange in contrast to the usual exchanges where the scattering are within a band. The momentum transfer associated with his off-diagonal exchange corresponds to the antiferromagnetic wave vector, favoring antiferromagnetic RKKY interaction among the f spins. On the other hand, the ordinary exchanges favor ferromagnetic coupling in the low carrier limit. In this project, we have shown that the frustration between the RKKY interactions originated from these two types of exchange mechanisms is the basic mechanism for the devil's staircase in CeX by using a simple one-dimensional model.
Since the origin of the RKKY interaction can be traced back to the Friedel oscillations, we have proceeded to study the spin and charge Friedel oscillations in the Kondo lattice model. By using the
density matrix renormalization group method, we have observed spin and charge Friedel oscillations. From the period it is concluded that the Fermi volume is large in the sense that the Fermi wavevector isdetermined by the sum of densities of conduction electrons and localized spins.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] N.Shibata: "Devil′s Staircase in Kondo Semimetals at Low Temperatures" Phys.Rev.B. 52. 10232-10238 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Shibata: "Neel Ordres,Haldane Gap and Kondo Spin Liquid Phase in the Anisotropic Kondo Chain" Physica B. 223&224. 363-365 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Ueda: "Devil′s Staircase in Kondo Semimetals" Physica B. 223&224. 426-428 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Shibata: "Spin and Charge Gaps in 1-D Kondo Lattice Model with Coulomb Interaction between Conduction Electrons" Phys.Rev.B. 53. R8828-R8831 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Shibata: "Friedel Oscillations in the One-Dimensinal Kondo Lattice Model" Phys.Rev.B. 54. 13495-13498 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Ueda: "Recent Progress in Theoretical Understanding on Heavy Fermion Systems" (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Shibata: "Large Fermi Surface of the One-Dimensional Kondo Lattice Model Observed by Friedel Oscillations" Physica B. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Ueda: "Kondo Lattice Model -A Perspective of Heavy Electron Phenomena-" Physica B. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Shibata: "One-Dimensional Kondo Lattice Model as a Tomonaga-Luttinger Liquid" submitted to Phys.Rev.B.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Shibata: "Devil's Staircase in Kondo Semimetals at Low Temperatures" Phys. Rev.B52. 10232-10238 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Shibata: "Neel Orders, Haldane Gap and Kondo Spin Liquid Phase in the Anisotropic Kondo Chain." Physica B. 223 & 224. 363-365 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Ueda: "Devil's Staircase in Kondo Semimetals." Physica B. 223 & 224. 426-428 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Shibata: "Spin and Charge Gaps in 1-D Kondo Lattice Model with Coulomb Interaction between Conduction Electrons." Phys. Rev.B53. R8828-R8831 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Shibata: "Friedel Oscillations in the One-Dimensional Kondo Lattice Model." Phys. Rev.B54. 13495-13498 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Shibata: "Large Fermi Surface of the One-Dimensional Kondo Lattice Model Observed by Friedel Oscillations." Physica B. (in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Ueda: "Kondo Lattice Model-A Perspective of Heavy Electron Phenomena" Physica B. (in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Ueda: "Devil's Staircase in Kondo Semimetals" Physica B. 223&224. 426-428 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Sibata: "Neel Orders,Haldane Gap and Kondo Spin Liquid Phase in the Anisotropic Kondo Chain" Physica B. 223&224. 363-365 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Shibata: "Spin and Charge Gaps in 1-D Kondo Lattice Model with Coulomb Interaction between Condiction Elecrtons" Phys.Rev.B. 53. R8828-R8831 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Shibata: "Friedel Oscillations in the One-Dimensional Kondo Lattice Model" Phys.Rev.B. 54. 13495-13498 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Shibata: "Large Fermi Surface of the One-Dimensional Kondo Lattice Model Observed by Friedel Oscillations" Physica B(in press).

    • Related Report
      1996 Annual Research Report
  • [Publications] K.Ueda: "Kondo Lattice Model-A Perspective of Heavy Electron Phenomena-" Physica B(in press).

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Shibata: "Devil's Staircase in Smeimetals at Low Temperature" Physical Review B. 52. 10232-10238 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] K.Ueda: "Devil's Staircase in Kondo Semimetals" SCES'95. (in press). (1996)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2020-05-15  

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