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Electrical Conductivity in Quasicrystals and their Crystal Approximants

Research Project

Project/Area Number 04452036
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field 固体物性
Research InstitutionThe University of Tokyo

Principal Investigator

TAKEUCHI Shin  The University of Tokyo, Inst.Solid State Physics, Professor, 物性研究所, 教授 (60013512)

Co-Investigator(Kenkyū-buntansha) SUZUKI Kunio  The University of Tokyo, Inst.Solid State Physics, Research Associate, 物性研究所, 助手 (50107439)
EDAGAWA Keiichi  The University of Tokyo, Inst.Solid State Physics, Research Associate, 物性研究所, 助手 (20223654)
KIMURA Kaoru  The University of Tokyo, Faculty of Engineering, Associate Professor, 工学部, 助教授 (30169924)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥6,700,000 (Direct Cost: ¥6,700,000)
Fiscal Year 1993: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1992: ¥4,800,000 (Direct Cost: ¥4,800,000)
KeywordsQuasicrystal / Crystal approximant / Electrical conductivity / Electron localization / Hopping conduction
Research Abstract

1. Main results obtained for high quality samples are as follows :
(1) In A1-Pd-Mn icosahedral phase, electrical resistivity increases almost linearly with deceasing temperature and shows a maximum at few tens of Kelvin and then decreases in low Mn-concentration alloys. The specific resistivity at helium temperature is generally quite high and varies from 10^3 to 10^4 mu OMEGA cm depending on the alloy composition. The temperature dependence of the resistivity, as well as the magnetoresistance effect, can be interpreted by the weak-localization theory that takes into account the spin-orbit interaction.
(2) Also in Al-Pd-Re icosahedral phase, the resistivity is extremely high and varies sensitively with the composition. In some Al_<70>Pd_<20>Re_<10> alloys, the resistivity value reaches as high as 1O MEGA cm at helium temperature, which is the highest value ever reported for quasicrystals. Temperature and magnetic field dependences of the resistivity are interpreted by the weak-localization theory except the samples with the highest resistivity which show hoping-like conduction.
(3) In Al-Cu-Ru and Al-Cu-Fe icosahedral phases, the electrical conductivity varies as T^<1/2> below a few tens of Kelvin due to the electron-electron interaction effect and as T linear above the temperature due to the weak-localization effect. Hall coefficient measurements have suggested the temperature variation of the carrier density.
2. From the experimental results so far obtained, we get the following picture : in both high-quality quasicrystals and their high-order crystal approximants, a deep pseudo-gap is always forms at the Fermi-level due to the Fermi-surface quasi-Brillouin zone boundary interaction, and the electrons near the Fermi-level have a stronger tendency to localize as the pseudo-gap deepens ; these circumstances produce characteristic behavior of electrical resistivity in quasicrystals.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (37 results)

All Other

All Publications (37 results)

  • [Publications] K.Edagawa: "Icosahedral and Approximant Phases in Mg-Ga-Al-Zn Alloy and their Electrical Resistivities" Phil.Mag.B. 65. 1011-1023 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 竹内 伸: "準結晶の物性に関する研究" 学術研究の動向. 45. 866-871 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Akiyama: "Electrical Resistivity of Al-Pd-Mn Icosahedral Quasicrystals" J.Phys.Soc.Jpn.62. 639-646 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Takeuchi: "Electrical Resistivity of Single-Grained Quasicrystals" J.Non-cryst.Solids. 153/154. 353-356 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Akiyama: "Toward Insulating Quasicrystalline Alloy in Al-Pd-Re Icosahedral Phase" Jpn.J.Appl.Phys.32. L1003-L1004 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 木村 薫: "準結晶の不思議な物性" パリティー. 8(10). 21-30 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Takeuchi: "Physical Properties of Quasicrystals-An Experimental Review-" “Quasicrystals and Imperfectly Ordered Crystals". (Trans Tech Pub)(印刷中). (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Y.Honda: "Formation of Al-Pd-Mn Icosahedral Quasicrystals and their Electrical Properties" “Quasicrystals and Imperfectly Ordered Crystals". (Trans Tech Pub)(印刷中). (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] R.Tamura: "Electrical Conductivity and Hall Effect of Al-Cu-Ru and Al-Cu-Fe Quasicrystals" Mater.Sci.Eng.A. (発表予定). (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 竹内 伸: "準結晶" 産業図書株式会社, 138 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Edagawa, N.Naito and S.Takeuchi: "Icosahedral and Approximant Phases in Mg-Ga-Al-Zn Alloy and their Electrical Resistivities" Phil.Mag.B.65-5. 1011-1023 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Takeuchi: "On Physical Properties of Quasicrystals (in Japanese)" Gakujutsu-Kenkyu-no-Doukou. 45-9. 866-871 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Akiyama, T.Hashimoto, T.Shibuya, K.Edagawa and S.Takeuchi: "Electrical Resistivity of Al-Pd-Mn Icosahedral Quasicrystals" J.Phys.Soc.Jpn.62-2. 639-646 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Takeuchi, H.Akiyama, N.Naito, T.Shibuya, T.Hashimoto, K.Edagawa and K.Kimura: "Electrical Resistivity of Simple-Grained Quasicrystals" J.Non-Cryst.Solids. 153/154. 353-356 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Akiyama, Y.Honda, T.Hashimoto, K.Edagawa and S.Takeuchi: "Toward Insulating Quasicrystalline Alloy in Al-Pd-Re Icosahedral Phase" Jpn.J.Appl.Phys.32-7B. L1003-L1004 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Kimura: "Strange Properties in Quasicrystals (in Japanese)" Parity. 8-10. 21-30 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Takeuchi: "Physical Properties of Quasicrystals -All Experimental Review-" "Quasicrystals and Imperfectly Ordered Crystals" Trans Tech.Pub Ltd.(in press). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Y.Honda, K.Edagawa, A.Yoshioka, H.Akiyama, T.Hashimoto and S.Takeuchi: "Formation of Al-Pd-Mn Icosahedral Quasicrystals and their Electrical Properties" "Quasicrystals and Imperfectly Ordered Crystals" Trans Tech.Pub.Ltd.(in press). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] R.Tamura, A.Waseda, K.Kimura and H.Ino: "Electrical Conductivity and Hall Effect of Al-Cu-Ru and Al-Cu-Fe Quasicrystals" Mater.Sic.Eng.A. (in press). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Takeuchi: Quasicrystals (in Japanese). Sangyoutosho, Pub.Co.Ltd., 138

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Edagawa: "Icosahedral and Approximant Phases in Mg-Ga-Al-Zn Alloy and their Electrical Resistivities" Phil.Mag.B. 65. 1011-1023 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] 竹内伸: "準結晶の物性に関する研究" 学術研究の動向. 45. 866-871 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Akiyama: "Electrical Resistivity of Al-Pd-Mn Icosahedral Quasicrystals" J.Phys.Soc.Jpn.62. 639-646 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] S.Takeuchi: "Electrical Resistivity of Single-Graind Quasicrystals" J.Non-cryst.Solids. 153/154. 353-356 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Akiyama: "Toward Insulating Quasicrystalline Alloy in Al-Pd-Re Icosabedral Phase" Jpn.J.Appl.Phys.32. L1003-L1004 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 木村薫: "準結晶の不思議な物性" パリティー. 8(10). 21-30 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] S.Takeuchi: "Physical Propertics of Quasicrystals-An Experimental Review-" “Quasicrystals and Imperfectly Ordered Crystals". (Trans Tech Pub)(印刷中). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] Y.Honda: "Formation of Al-Pd-Mn Icosahedral Quasicrystals and their Electrical Propertics" “Quasicrystals and Imperfectly Ordered Crystals". (Trans Tech Pub)(印刷中). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] R.Tamura: "Electrical Conductivity and Hall Effect of Al-Cu-Ru and Al-Cu-Fe Quasicrystals" Mater.Sci.Eng.A. (発表予定). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 竹内伸: "準結晶" 産業図書株式会社, 138 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] 枝川 圭一: "Icosahedral and approximant phases in a Mg-Ga-Al-Zn alloy and their electrical resistivities" Phil.Mag.B. 65. 1011-1023 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 越川 尚清: "New Stable Icosahedral Quasicrystal in Mg-Pd-Al System" Jpn.J.Appl.Phys. 31. L966-L969 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 中尾 百合: "Positron-annihilation studies of a decagonal single quasicrystal of Al_<70>Ni_<15>Co_<15>" Phys.Rev.B. 46. 3108-3111 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 竹内 伸: "準結晶の物性に関する研究" 学術月報. 45. 866-871 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 私山 博文: "Electrical Resistivities of Al-Pd-Mn Icosahedral Quasicrystals" J.Phys.Soc.Jpn. 62. 639-646 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 竹内 伸: "Electrical Resistivity of Single-grained Quasicrystals" J.Non-Cryst.Solids.

    • Related Report
      1992 Annual Research Report
  • [Publications] 竹内 伸: "準結晶" 産業図書, 138 (1992)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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