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Theoretical research for novel physics of spin Hall effects on the system surfaces and interfaces

Research Project

Project/Area Number 19740177
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Condensed matter physics I
Research InstitutionTokyo Institute of Technology

Principal Investigator

MURAKAMI Shuichi  Tokyo Institute of Technology, 大学院・理工学研究科, 准教授 (30282685)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥2,980,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥480,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥900,000 (Direct Cost: ¥900,000)
Keywords量子スピンホール系 / トポロジカル絶縁体 / エッジ状態 / ビスマス / 熱電変換 / 励起子 / トポロジー / スピンホール効果 / 物性理論 / 磁性 / スピンエレクトロニクス / 表面・界面物性 / 量子スピンホール効果 / 白金
Research Abstract

We calculate thermoelectric properties of the topological insulators. For two-dimensional topological insulators, as the temperature is lowered, the edge-state transport becomes dominant over the bulk transport. We also obtain universal phase diagrams describing the phase transitions between the topological and ordinary insulators. Lastly, we calculate the spin Hall conductivity for platinum by first-principle methods, and show that the giant spin Hall effect in platinum is caused by the band crossings near the Fermi energy.

Report

(5 results)
  • 2009 Annual Research Report   Self-evaluation Report ( PDF )   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (72 results)

All 2010 2009 2008 2007

All Journal Article (15 results) (of which Peer Reviewed: 15 results) Presentation (54 results) Book (3 results)

  • [Journal Article] Thermoelectric transport in perfectly conducting channels in quantum spin Hall systems2010

    • Author(s)
      Ryuji Takahashi, Shuichi Murakami
    • Journal Title

      Phys.Rev. B 81

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Thermoelectric transport in perfectly conducting channels in quantum spin Hall systems2010

    • Author(s)
      Ryuji Takahashi, Shuichi Murakami
    • Journal Title

      Physical Review B 81(In press)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effects of disorder in three-dimensional Z2 quantum spin Hall systems2009

    • Author(s)
      Ryuichi Shindou, Shuichi Murakami
    • Journal Title

      Phys.Rev. B 79

      Pages: 45321-45321

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effects of disorder in three-dimensional Z_2 quantum spin Hall systems2009

    • Author(s)
      Ryuichi Shindou, Shuichi Murakami
    • Journal Title

      Physical Review B 79

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spin Hall effect of excitons2008

    • Author(s)
      S.Kuga, S.Murakami, N.Nagaosa
    • Journal Title

      Phys.Rev. B 78

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Universal phase diagrams for the quantum spin Hall systems2008

    • Author(s)
      S.Murakami, S.Kuga
    • Journal Title

      Phys.Rev. B 78

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Intrinsic Spin Hall Effect in Platinum :First-Principles Calculations2008

    • Author(s)
      G.Y.Guo, S.Murakami, T.-W.Chen, N.Nagaosa
    • Journal Title

      Phys.Rev.Lett. 100

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Universal phase diagram for the quantum spin Hall systems2008

    • Author(s)
      Shuichi Murakami, Shun-ichi Kuga
    • Journal Title

      Physical Review B 78

    • Related Report
      2009 Self-evaluation Report 2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Intrinsic Spin Hall Effect in Platinum: First-Principles Calculations2008

    • Author(s)
      Guang-Yu Guo, Shuichi Murakami, Tsung-Wei Chen, Naoto Nagaosa
    • Journal Title

      Physical Review Letters 101

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Spin Hall effect of excitons2008

    • Author(s)
      Shun-ichi Kuga, Shuichi Murakami, Naoto Nagaosa
    • Journal Title

      Physical Review B 78

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Intrinsic Spin Hall Effect in Platinum : First-Principles Calculations2008

    • Author(s)
      G. Y. Guo, S. Murakami, T. -W. Chen, and N. Nagaosa
    • Journal Title

      Physical Review Letters 101

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase2007

    • Author(s)
      Shuichi Murakami
    • Journal Title

      New J.Phys. 9

      Pages: 356-356

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tuning phase transition between quantum spin Hall and ordinary insulating phases2007

    • Author(s)
      Shuichi Murakami, Satoshi Iso, Yshai Avishai, Masaru Onoda, Naoto Nagaosa
    • Journal Title

      Phys.Rev. B 76

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Phase transition between the quantum spin Hall and insulator phases in 3D : emergence of a topological gapless phase2007

    • Author(s)
      Shuichi Murakami
    • Journal Title

      New Journal of Physics. 9

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tuning phase transition between quantum spin Hall and ordinary insulating phases2007

    • Author(s)
      S. Murakami, S. Iso, Y. Avishai, M. Onoda, and N. Nagaosa
    • Journal Title

      Physical Review B 76

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 量子スピンホール系の熱電輸送におけるエッジ状態とバルク状態の競合2010

    • Author(s)
      高橋隆志、村上修一
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学(岡山県)
    • Year and Date
      2010-03-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] 3次元量子スピンホール状態の表面量子ホール効果2010

    • Author(s)
      和田真樹、村上修一
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学(岡山県)
    • Year and Date
      2010-03-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] トポロジカル絶縁体研究の進展:理論2010

    • Author(s)
      村上修一
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学(岡山県)
    • Year and Date
      2010-03-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] 局在スピン系におけるマグノンのホール効果2010

    • Author(s)
      松本遼、村上修一
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学(岡山県)
    • Year and Date
      2010-03-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Thermoelectric effect by "perfectly conducting" edge current in the quantum spin Hall system2010

    • Author(s)
      高橋隆志、村上修一
    • Organizer
      APS March Meeting 2010
    • Place of Presentation
      Oregon, USA
    • Year and Date
      2010-03-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Ballistic spin dynamics in Rashba spin-orbit coupled systems2010

    • Author(s)
      松本遼、村上修一
    • Organizer
      APS March Meeting 2010
    • Place of Presentation
      Oregon, USA
    • Year and Date
      2010-03-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Decay length of edge/surface states in topological insulators2010

    • Author(s)
      村上修一
    • Organizer
      APS March Meeting 2010
    • Place of Presentation
      Oregon, USA
    • Year and Date
      2010-03-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Well-localized edge states in two-dimensional topological insulator : bismuth film2010

    • Author(s)
      和田真樹、村上修一
    • Organizer
      APS March Meeting 2010
    • Place of Presentation
      Oregon, USA
    • Year and Date
      2010-03-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Thermoelectric transport in 2D quantum spin Hall systems2010

    • Author(s)
      Shuichi Murakami
    • Organizer
      4th International Workshop on Spin Currents
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2010-02-08
    • Related Report
      2009 Final Research Report
  • [Presentation] Physics of surface states in topological insulators2010

    • Author(s)
      Shuichi Murakami
    • Organizer
      Symposium on Surface and Nano Science
    • Place of Presentation
      Shizukuishi, Japan
    • Year and Date
      2010-01-17
    • Related Report
      2009 Final Research Report
  • [Presentation] Physics of surface states in topological insulators2010

    • Author(s)
      村上修一
    • Organizer
      Symposium on Surface and Nano Science 2010
    • Place of Presentation
      Shizukuishi, Japan
    • Year and Date
      2010-01-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Thermoelectric Transport in 2D Quantum Spin Hall Systems2010

    • Author(s)
      村上修一
    • Organizer
      449.Wilhelm and Else Heraeus Seminar : "Rashba and related spin-orbit effects in metals"
    • Place of Presentation
      Germany
    • Year and Date
      2010-01-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Bismuth Ultrathin Film as a Two-Dimensional Topological Insulator2010

    • Author(s)
      和田真樹、村上修一、F.Freimuth, G.Bihlmayer
    • Organizer
      449.Wilhelm and Else Heraeus Seminar : "Rashba and related spin-orbit effects in metals"
    • Place of Presentation
      Germany
    • Year and Date
      2010-01-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Spin Hall effect and Berry phase2009

    • Author(s)
      村上修一
    • Organizer
      5th CAS Cross-Strait and International Conference on Quantum Manipulation
    • Place of Presentation
      Beijing, China
    • Year and Date
      2009-12-20
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] 二次元量子スピンホール系でのエッジ状態による熱電効果2009

    • Author(s)
      高橋隆志、村上修一
    • Organizer
      物性科学領域横断研究会
    • Place of Presentation
      東京大学武田先端知ビル武田ホール(東京都)
    • Year and Date
      2009-11-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] スピン軌道相互作用がある2次元電子系 ballistic 領域におけるスピンヘリックスのダイナミクス2009

    • Author(s)
      松本遼、村上修一
    • Organizer
      物性科学領域横断研究会
    • Place of Presentation
      東京大学武田先端知ビル武田ホール(東京都)
    • Year and Date
      2009-11-29
    • Related Report
      2009 Annual Research Report
  • [Presentation] ビスマス薄膜のZ2トポロジカルナンバーおよび量子スピンホール相におけるエッジ状態の特性2009

    • Author(s)
      和田真樹、村上修一、F.Freimuth, G.Bihlmayer
    • Organizer
      物性科学領域横断研究会
    • Place of Presentation
      東京大学武田先端知ビル武田ホール(東京都)
    • Year and Date
      2009-11-29
    • Related Report
      2009 Annual Research Report
  • [Presentation] ビスマス薄膜系における量子スピンホール効果2009

    • Author(s)
      和田真樹、村上修一、F.Freimuth、G.Bihlmayer
    • Organizer
      物性研究所短期研究会"ディラック電子系の物性-グラフェンおよび関連物質の最近の研究"
    • Place of Presentation
      東京大学物性研究所(千葉県)
    • Year and Date
      2009-10-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] 量子スピンホール系における熱電効果2009

    • Author(s)
      高橋隆志、村上修一
    • Organizer
      物性研究所短期研究会"ディラック電子系の物性-グラフェンおよび関連物質の最近の研究"
    • Place of Presentation
      東京大学物性研究所(千葉県)
    • Year and Date
      2009-10-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] トポロジカル絶縁体と表面ディラック電子2009

    • Author(s)
      村上修一
    • Organizer
      物性研究所短期研究会"ディラック電子系の物性-グラフェンおよび関連物質の最近の研究"
    • Place of Presentation
      東京大学
    • Year and Date
      2009-10-22
    • Related Report
      2009 Final Research Report
  • [Presentation] トポロジカル絶縁体と表面ディラック電子2009

    • Author(s)
      村上修一
    • Organizer
      物性研究所短期研究会"ディラック電子系の物性-グラフェンおよび関連物質の最近の研究"
    • Place of Presentation
      東京大学物性研究所(千葉県)
    • Year and Date
      2009-10-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] n型半導体バリスティック領域におけるスピンヘリックスのダイナミクス2009

    • Author(s)
      松本遼、村上修一
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学(熊本県)
    • Year and Date
      2009-09-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] 量子スピンホール系のエッジ状態の局在長2009

    • Author(s)
      村上修一
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学(熊本県)
    • Year and Date
      2009-09-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] ビスマス超薄膜における量子スピンホール効果2009

    • Author(s)
      和田真樹、村上修一
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学(熊本県)
    • Year and Date
      2009-09-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] 量子スピンホール相における熱電効果2009

    • Author(s)
      高橋隆志、村上修一
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学(熊本県)
    • Year and Date
      2009-09-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] 半導体および金属でのスピンホール効果の理論2009

    • Author(s)
      村上修一
    • Organizer
      第70回応用物理学会学術講演会
    • Place of Presentation
      富山大学
    • Year and Date
      2009-09-09
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] 半導体および金属でのスピンホール効果の理論2009

    • Author(s)
      村上修一
    • Organizer
      第70回応用物理学会学術講演会
    • Place of Presentation
      富山大学(富山県)
    • Year and Date
      2009-09-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] Universal Phase Diagrams for Quantum Spin Hall Phases2009

    • Author(s)
      Shuichi Murakami
    • Organizer
      Novel Topological States in Condensed Matter Physics
    • Place of Presentation
      Hong Kong.
    • Year and Date
      2009-06-22
    • Related Report
      2009 Final Research Report
  • [Presentation] Universal Phase Diagrams for Quantum Spin Hall Phases2009

    • Author(s)
      村上修一
    • Organizer
      Novel Topological States in Condensed Matter Physics
    • Place of Presentation
      Hong Kong, China
    • Year and Date
      2009-06-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Quantum spin Hall phases and topological surface states2009

    • Author(s)
      Shuichi Murakami
    • Organizer
      Annual Meeting of the German Physical Society
    • Place of Presentation
      Dresden, Germany.
    • Year and Date
      2009-03-26
    • Related Report
      2009 Final Research Report
  • [Presentation] Quantum spin Hall phases and topological surface states2009

    • Author(s)
      Shuichi Murakami
    • Organizer
      Annual meeting of German Physical Society
    • Place of Presentation
      Germany
    • Year and Date
      2009-03-26
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] Quantum spin Hall phases and topological surface states2009

    • Author(s)
      Shuichi Murakami
    • Organizer
      Annual meeting of German Physical Society
    • Place of Presentation
      Germany Dresden
    • Year and Date
      2009-03-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] トポロジーに起因した新奇な表面状態2008

    • Author(s)
      村上修一
    • Organizer
      第28回表面科学学術講演会
    • Place of Presentation
      早稲田大学国際会議場(東京都)
    • Year and Date
      2008-11-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] Quantum spin Hall phase in bismuth ultrathin film2008

    • Author(s)
      Shuichi Murakami
    • Organizer
      421st Wilhelm and Else Heraeus Seminar on Spin Hall Effect
    • Place of Presentation
      Bad-Honnef, Germany.
    • Year and Date
      2008-10-20
    • Related Report
      2009 Final Research Report
  • [Presentation] Quantum spin Hall phase in bismuth ultrathin film2008

    • Author(s)
      Shuichi Murakami
    • Organizer
      421st Wilhelm and Else Heraeus Seminar on Spin Hall Effect
    • Place of Presentation
      Germany
    • Year and Date
      2008-10-20
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] Quantum spin Hall phase in bismuth ultrathin film2008

    • Author(s)
      Shuichi Murakami
    • Organizer
      421st Wilhelm and Else Heraeus Seminar on Spin Hall Effect
    • Place of Presentation
      Germany Bad Honnef
    • Year and Date
      2008-10-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] ビスマスにおける量子スピンホール効果とエッジ状態の理論2008

    • Author(s)
      村上修一
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-20
    • Related Report
      2009 Final Research Report
  • [Presentation] ビスマスにおける量子スピンホール効果とエッジ状態の理論2008

    • Author(s)
      村上修一
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学(岩手県)
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] Spin Hall effect and quantum spin Hall effect-spin current in metals and insulators-2008

    • Author(s)
      Shuichi Murakami
    • Organizer
      Gordon Research Conference "Magnetic Nanostructures"
    • Place of Presentation
      Aussois, France
    • Year and Date
      2008-09-04
    • Related Report
      2009 Final Research Report
  • [Presentation] Spin Hall effect and quantum spin Hall effect - spin current in metals and insulators-2008

    • Author(s)
      Shuichi Murakami
    • Organizer
      Gordon Research Conference "Magnetic Nanostructures"
    • Place of Presentation
      France Aussois
    • Year and Date
      2008-09-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] Quantum Spin Hall Phase in Bismuth Ultrathin Film2008

    • Author(s)
      Shuichi Murakami
    • Organizer
      The 9th International Symposium on Foundation of Quantum Mechanics in the Light of New Technology (ISQM-Tokyo'08)
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2008-08-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Universal phase diagram for the quantum spin Hall phase in 2D and 3D2008

    • Author(s)
      Shuichi Murakami
    • Organizer
      Topological Aspects of Solid State Physics
    • Place of Presentation
      Kyoto, Japan.
    • Year and Date
      2008-06-26
    • Related Report
      2009 Final Research Report
  • [Presentation] Universal phase diagram for the quantum spin Hall phase in 2D and 3D2008

    • Author(s)
      Shuichi Murakami
    • Organizer
      Topological Aspects of Solid State Physics
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2008-06-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] 量子スピンホール相と絶縁相との間の相転移2008

    • Author(s)
      村上修一、磯暁、Yshai Avishai、小野田勝、永長直人
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-23
    • Related Report
      2009 Final Research Report
  • [Presentation] 量子スピンホール相と絶縁相との間の相転移2008

    • Author(s)
      S. Murakami
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      近畿大学、大阪
    • Year and Date
      2008-03-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] Phase transition between quantum spin Hall and ordinary insulating phases2008

    • Author(s)
      S. Murakami
    • Organizer
      APS March Meeting
    • Place of Presentation
      New Orleans, USA
    • Year and Date
      2008-03-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] Quantum Spin Hall Effect-Surface Spin Current on an Insulator-2008

    • Author(s)
      Shuichi Murakami
    • Organizer
      International Workshop on Spin Current
    • Place of Presentation
      Sendai, Japan.
    • Year and Date
      2008-02-19
    • Related Report
      2009 Final Research Report
  • [Presentation] Quantum Spin Hall Effect -Surface Spin Current on the Insulator-2008

    • Author(s)
      S. Murakami
    • Organizer
      International Workshop on Spin Current
    • Place of Presentation
      東北大学金属材料研究所, 仙台
    • Year and Date
      2008-02-19
    • Related Report
      2007 Annual Research Report
  • [Presentation] Spin current in nanostructures -Spin Hall effect and quantum spin Hall effect-2008

    • Author(s)
      S. Murakami
    • Organizer
      11th Sanken International Symposium
    • Place of Presentation
      淡路夢舞台交際会議場、淡路
    • Year and Date
      2008-02-05
    • Related Report
      2007 Annual Research Report
  • [Presentation] Spin Hall effect and quantum spin Hall effect2007

    • Author(s)
      Shuichi Murakami
    • Organizer
      YKIS2007 "Interaction and Nanostructural Effects in Low-Dimensional Systems"
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2007-11-16
    • Related Report
      2009 Final Research Report
  • [Presentation] Spin Hall and quantum spin Hall effects2007

    • Author(s)
      S. Murakami
    • Organizer
      YKIS2007 "Interaction and Nanostructural Effects in Low-Dimensional Systems"
    • Place of Presentation
      京都大学基礎物理学研究所、京都
    • Year and Date
      2007-11-16
    • Related Report
      2007 Annual Research Report
  • [Presentation] スピンホール効果2007

    • Author(s)
      S. Murakami
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大学、札幌
    • Year and Date
      2007-09-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Quantum spin Hall systems and surface spin current2007

    • Author(s)
      S. Murakami
    • Organizer
      SpiNor 2007
    • Place of Presentation
      Centre for Advanced Study, Oslo, Norway
    • Year and Date
      2007-06-29
    • Related Report
      2007 Annual Research Report
  • [Presentation] Quantum spin Hall systems2007

    • Author(s)
      S. Murakami
    • Organizer
      CAS Program Spin and Charge Flow in Nano-structures
    • Place of Presentation
      Centre for Advanced Study, Oslo, Norway
    • Year and Date
      2007-05-08
    • Related Report
      2007 Annual Research Report
  • [Book] スピントロニクスの基礎と材料・応用技術の最前線(監修:高梨弘毅)第13章「スピンホール効果の理論」2009

    • Author(s)
      村上修一
    • Publisher
      シーエムシー出版
    • Related Report
      2009 Final Research Report
  • [Book] スピントロニクスの基礎と材料・応用技術の最前線(監修:高梨弘毅)2009

    • Author(s)
      村上修一
    • Publisher
      シーエムシー出版
    • Related Report
      2009 Self-evaluation Report
  • [Book] スピントロニクスの基礎と材料・応用技術の最前線 第13章「スピンホール効果の理論」(監修:高梨弘毅)2009

    • Author(s)
      村上修一
    • Publisher
      シーエムシー出版
    • Related Report
      2009 Annual Research Report

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Published: 2007-04-01   Modified: 2020-05-15  

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