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

Localization and quantum Hall effect in two-dimensional carbon material graphene

Research Project

Project/Area Number 20740167
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Condensed matter physics I
Research InstitutionTohoku University

Principal Investigator

NOMURA Kentaro  Tohoku University, 強相関理論研究チーム, 基幹研究所研究員 (00455776)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywordsグラフェン / ディラック電子 / 量子ホール効果 / トポロジカル絶縁体 / アンダーソン局在 / 電気磁気効果 / 交差相関 / マルチフェロイクス / 量子輸送現象 / 局在 / 電子相関
Research Abstract

The quantum Hall effects in grpahene have been theoretically studied. Based on the Dirac fermion model and the scaling analysis, it was found that the quantum Hall phases can survive even in the weak magnetic field limit. In a strong magnetic field, the ground state and the Kosterlitz-Thouless transition were clarified. In the doped regime, the fractional quantum Hall states are realized. The gaps at a number of filling factors are computed.
The phase structure of a topological insulator which is one of related material of graphene was also studied.

Report

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

    (65 results)

All 2011 2010 2009 2008 Other

All Journal Article (25 results) (of which Peer Reviewed: 22 results) Presentation (39 results) Remarks (1 results)

  • [Journal Article] Surface-Quantized Anomalous Hall Current and Magnetoelectric Effect in Magnetically Disordered Topological Insulators2011

    • Author(s)
      K.Nomura, N.Nagaosa
    • Journal Title

      Phys.Rev.Lett. 106

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Disorder-Induced Multiple Transition involving Z2 Topological Insulator2011

    • Author(s)
      A.Yamakage, K.Nomura, K.-I.Imura, Y.Kuramoto
    • Journal Title

      J.Phys.Soc.Jpn. 80

    • NAID

      40018798402

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Theory of Electric Polarization in Multiorbital Mott Insulator2011

    • Author(s)
      M.Mostovoy, K.Nomura, N.Nagaosa
    • Journal Title

      Phys.Rev.Lett.

      Volume: 106

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] トポロジカル絶縁体表面に現れるディラック電子2010

    • Author(s)
      野村健太郎
    • Journal Title

      固体物理 45(11)

      Pages: 743-751

    • Related Report
      2010 Final Research Report
  • [Journal Article] Electric charging of magnetic textures on the surface of a topological insulator2010

    • Author(s)
      K.Nomura, N.Nagaosa
    • Journal Title

      Phys.Rev.B 82

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Anti-localization of graphene under the substrate electric field2010

    • Author(s)
      K.-I.Imura, Y.Kuramoto, K.Nomura
    • Journal Title

      Europhys.Lett. 89

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spin-Orbit Interaction Enhanced Fractional Quantum Hall States in the Second Landau Level2010

    • Author(s)
      T.Ito, K.Nomura, N.Shibata
    • Journal Title

      J.Phys.Soc.Jpn.

      Volume: 79 Pages: 73003-73007

    • NAID

      40017205426

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Electrical charging of magnetic textures on the surface of a topolotical insulator2010

    • Author(s)
      K.Nomura, N.Nagaosa
    • Journal Title

      Phys.Rev.B

      Volume: 82

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] トポロジカル絶縁体表面に現れるディラック電子2010

    • Author(s)
      野村健太郎
    • Journal Title

      固体物理 特集号 ディラック電子系の固体物理

      Volume: 45 Pages: 179-187

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Anti-localization of graphene under the substrate electric field2010

    • Author(s)
      Ken-Ichiro Imura
    • Journal Title

      Europhysics Letters 89

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Renormalized Landau Levels and Particle-Hole Symmetry in Graphene2009

    • Author(s)
      Y.Barlas, W.-C.Lee, K.Nomura, A.H.MacDonald
    • Journal Title

      Int.J.of Mod.Phys.B 23

      Pages: 2634-2640

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Field-Induced Kosterlitz-Thouless Transition in the N=0 Landau Level of Graphene2009

    • Author(s)
      K.Nomura, S.Ryu, D.-H.Lee
    • Journal Title

      Phys.Rev.Lett. 103

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Fractional quantum Hall effect in graphene and its bilayer2009

    • Author(s)
      N.Shibata, K.Nomura
    • Journal Title

      J.Phys.Soc.Jpn. 78

    • NAID

      130005437125

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Weak localization properties of the doped Z2 topological insulator2009

    • Author(s)
      K.-I.Imura, Y.Kuramoto, K.Nomura
    • Journal Title

      Phys.Rev.B 80

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Field-Induced Kosterlitz-Thouless Transition in the N=0 Landau Level of Graphene2009

    • Author(s)
      Kentaro Nomura
    • Journal Title

      Physical Review Letters 103

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fractional quantum Hall effect in graphene and its bilayer2009

    • Author(s)
      Naokazu Shibata
    • Journal Title

      Journal of Physical Society of Japan 78

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weak localization properties of the doped Z2 topological insulator2009

    • Author(s)
      Ken-Ichiro Imura
    • Journal Title

      Physical Review B 80

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] グラフェンにおけるディラック粒子の量子ホール効果2008

    • Author(s)
      野村健太郎、越野幹人、笠真生
    • Journal Title

      固体物理 43(12)

      Pages: 911-920

    • NAID

      40016408651

    • Related Report
      2010 Final Research Report
  • [Journal Article] Intra-Landau-Level Cycrotron Resonance in Bilayer Graphene2008

    • Author(s)
      Y.Barlas, R.Cote, K.Nomura, A.H.MacDonald
    • Journal Title

      Phys.Rev.Lett. 101

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field2008

    • Author(s)
      K.Nomura, S.Ryu, M.Koshino, C.Mudry, A.Furusaki
    • Journal Title

      Phys.Rev.Lett. 100

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Coupled charge and valley excitation in graphene quantum Hall ferromagnets2008

    • Author(s)
      N.Shibata, K.Nomura
    • Journal Title

      Phys.Rev.B 77

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field2008

    • Author(s)
      K. Nomura
    • Journal Title

      Physical Review Letters 100

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Coupled charge and valley excitations in graphene quantum Hall ferromagnets2008

    • Author(s)
      N. Shibata
    • Journal Title

      Physical Review B 77

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Intra-Landau-Level Cyclotron Resonance in Bilayer Graphene2008

    • Author(s)
      Y. Barlas
    • Journal Title

      Physical Review Letters 101

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] グラフェンにおけるディラック粒子の量子ホール効果2008

    • Author(s)
      野村健太郎
    • Journal Title

      固体物理 43

      Pages: 911-920

    • NAID

      40016408651

    • Related Report
      2008 Annual Research Report
  • [Presentation] Quantized Surface Anomalous Hall Transport and Magneto-Electric Effect in a Magnetically Disordered Topological Insulator2011

    • Author(s)
      Kentaro Nomura
    • Organizer
      Hatron group seminar
    • Place of Presentation
      東京大学本郷キャンパス
    • Year and Date
      2011-02-28
    • Related Report
      2010 Final Research Report
  • [Presentation] Magnetic field induced symmetry broken insulating phase in graphene2011

    • Author(s)
      Kentaro Nomura
    • Organizer
      UK-Japan Graphene Workshop
    • Place of Presentation
      Invitation Lancaster, UK
    • Year and Date
      2011-02-04
    • Related Report
      2010 Final Research Report
  • [Presentation] Quantum Hall Effects of Dirac Fermions2011

    • Author(s)
      Kentaro Nomura
    • Organizer
      Workshop on Dirac Electron Systems 2011
    • Place of Presentation
      Invitation Tsukuba
    • Year and Date
      2011-01-19
    • Related Report
      2010 Final Research Report
  • [Presentation] Quantum Transport of Dirac Fermion on the Surface of Topological Insulator2011

    • Author(s)
      Kentaro Nomura
    • Organizer
      2011 Frontiers in Nanoscale Science and Technology Workshop (Workshop FNST)
    • Place of Presentation
      Invitation Wako, Japan
    • Year and Date
      2011-01-05
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元トポロジカル絶縁体における表面量子ホール電流と電気磁気効果2010

    • Author(s)
      野村健太郎
    • Organizer
      理論グループ共通セミナー
    • Place of Presentation
      東京大学本郷キャンパス
    • Year and Date
      2010-11-30
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元トポロジカル絶縁体表面における磁壁と磁気渦の荷電効果2010

    • Author(s)
      野村健太郎
    • Organizer
      物性コロキウム
    • Place of Presentation
      東北大学
    • Year and Date
      2010-11-04
    • Related Report
      2010 Final Research Report
  • [Presentation] Spin texture on a topolorical insulator2010

    • Author(s)
      Kentaro Nomura
    • Organizer
      Opening Symposium of QS2C Theory Forum
    • Place of Presentation
      RIKEN, Wako
    • Year and Date
      2010-09-30
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元トポロジカル絶縁体表面における磁壁と磁気渦の荷電効果2010

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元トポロジカル絶縁体表面における磁壁と磁気渦の荷電効果2010

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会 秋季大会
    • Place of Presentation
      大阪府立大学(大阪)
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Field-induced bond-ordered phase and confinement-defonfinement transition in graphene2010

    • Author(s)
      Kentaro Nomura
    • Organizer
      The 19th International Conference on the Application of High Magnetic Fields in Semiconductor Physics and Nanotechnology (HMF-19)
    • Place of Presentation
      福岡
    • Year and Date
      2010-08-02
    • Related Report
      2010 Final Research Report
  • [Presentation] 磁場中グラフェンにおけるトポロジカル励起と乱れの効果2010

    • Author(s)
      野村健太郎
    • Organizer
      理論セミナー
    • Place of Presentation
      東京大学物性研究所
    • Year and Date
      2010-06-29
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元トポロジカル絶縁体表面に現れるディラック粒子2010

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会シンポジウム「量子スピンホール系・トポロジカル絶縁体の物理とその発展」(招待講演)
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-22
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元トポロジカル絶縁体表面に現れる質量Oのディラック粒子2010

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Field-induced Kosterlitz-Thouless transition in the N=0 Landau level of graphene2010

    • Author(s)
      Kentaro Nomura
    • Organizer
      米国物理学会
    • Place of Presentation
      Portland
    • Year and Date
      2010-03-15
    • Related Report
      2010 Final Research Report
  • [Presentation] Field-induced Kosterlitz-Thouless transition in the N=0 Landau level of graphene2010

    • Author(s)
      野村健太郎
    • Organizer
      アメリカ物理学会
    • Place of Presentation
      Portland, Oregon, USA
    • Year and Date
      2010-03-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Topological delocalization of two-dimensional massless fermions2010

    • Author(s)
      Kentaro Nomura
    • Organizer
      IPMU Focus Week : Condensed Matter Physics Meets High Energy Physics
    • Place of Presentation
      東京大学柏キャンパス
    • Year and Date
      2010-02-10
    • Related Report
      2010 Final Research Report
  • [Presentation] 強磁場中グラフェンにおけるトポロジカル励起と乱れの効果2009

    • Author(s)
      野村健太郎
    • Organizer
      GCOE数学-物理合同セミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2009-11-20
    • Related Report
      2010 Final Research Report
  • [Presentation] Quantum Hall effect of massless Dirac fermions in graphene2009

    • Author(s)
      野村健太郎
    • Organizer
      Miniworkshop on low-dimensional systems,-past present and future
    • Place of Presentation
      東京大学駒場キャンパス
    • Year and Date
      2009-11-08
    • Related Report
      2010 Final Research Report
  • [Presentation] ゼロ質量ディラック粒子系の量子ホール効果2009

    • Author(s)
      野村健太郎
    • 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
    • Year and Date
      2009-10-22
    • Related Report
      2010 Final Research Report
  • [Presentation] 磁場中グラフェンにおけるトポロジカル励起と乱れの効果2009

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-26
    • Related Report
      2010 Final Research Report
  • [Presentation] 磁場中グラフェンにおけるトポロジカル励起と乱れの効果2009

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] Field-induced Kosterlitz-Thouless transition in the N=0 Landau level of graphene2009

    • Author(s)
      Kentaro Nomura
    • Organizer
      International workshop on Theories on Strongly Correlated Molecular Conductors
    • Place of Presentation
      千葉県成田市
    • Year and Date
      2009-09-18
    • Related Report
      2010 Final Research Report
  • [Presentation] グラフェンにおける質量ゼロのディラック粒子の輸送現象2009

    • Author(s)
      野村健太郎
    • Organizer
      GCOE数学-物理合同セミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2009-09-15
    • Related Report
      2010 Final Research Report
  • [Presentation] グラフェンにおけるディラック粒子の輸送現象2009

    • Author(s)
      野村健太郎
    • Organizer
      第54回物性若手夏の学校分科会(招待講演)
    • Year and Date
      2009-08-24
    • Related Report
      2010 Final Research Report
  • [Presentation] Massless Dirac fermions in graphene2009

    • Author(s)
      野村健太郎
    • Organizer
      理論セミナー
    • Place of Presentation
      東京大学本郷キャンパス
    • Year and Date
      2009-08-07
    • Related Report
      2010 Final Research Report
  • [Presentation] Intervalley phase coherent state in the zeroth Landau level of graphene2009

    • Author(s)
      Kentaro Nomura
    • Organizer
      Graphene Tokyo 2009(ポスター発表)
    • Place of Presentation
      東京大学本郷キャンパス
    • Year and Date
      2009-07-25
    • Related Report
      2010 Final Research Report
  • [Presentation] Quantum transport phenomena of d=2 massless Dirac fermions2009

    • Author(s)
      Kentaro Nomura
    • Organizer
      The 18th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-18)(ポスター発表)
    • Place of Presentation
      神戸国際会議場
    • Year and Date
      2009-07-23
    • Related Report
      2010 Final Research Report
  • [Presentation] Field-induced Kosterlitz-Thouless transition in the N=0 Laudau level of graphene2009

    • Author(s)
      野村健太郎
    • Organizer
      理研セミナー
    • Place of Presentation
      理化学研究所
    • Year and Date
      2009-07-07
    • Related Report
      2010 Final Research Report
  • [Presentation] 強磁場中グラフェンにおける対称性の破れとトポロジカル励起2009

    • Author(s)
      野村健太郎
    • Organizer
      「分子性導体における質量ゼロのディラック粒子とその新展開」京都大学基礎物理学研究所研究会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-07-03
    • Related Report
      2010 Final Research Report
  • [Presentation] ディラック粒子の量子輸送現象2009

    • Author(s)
      野村健太郎
    • Organizer
      「分子性導体における質量ゼロのディラック粒子とその新展開」京都大学基礎物理学研究所研究会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-07-02
    • Related Report
      2010 Final Research Report
  • [Presentation] グラフェンにおけるディラック粒子の量子輸送現象2009

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会年次大会第3回若手奨励賞受賞記念講演(招待講演)
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-28
    • Related Report
      2010 Final Research Report
  • [Presentation] 二層グラフェンにおける量子ホール強磁性2009

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-27
    • Related Report
      2010 Final Research Report
  • [Presentation] 二層グラフェンにおける量子ホール強磁性状態2009

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] QHE of massless Dirac fermions in a vanishing magnetic field2009

    • Author(s)
      Kentaro Nomura
    • Organizer
      米国物理学会
    • Place of Presentation
      Pittsburgh
    • Year and Date
      2009-03-16
    • Related Report
      2010 Final Research Report
  • [Presentation] Quantum Hall effects of massless Dirac fermions in a vanishing magnetis field2009

    • Author(s)
      野村健太郎
    • Organizer
      アメリカ物理学会
    • Place of Presentation
      ピッツバーグ(アメリカ)
    • Year and Date
      2009-03-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] Quantum transport phenomena of massless Dirac fermions2009

    • Author(s)
      Kentaro Nomura
    • Organizer
      Miniworkshop at UC Berkeley
    • Place of Presentation
      カリフォルニア大学バークレー校
    • Year and Date
      2009-02-12
    • Related Report
      2010 Final Research Report
  • [Presentation] Quantum transport of massless Dirac fermions in graphene2009

    • Author(s)
      野村健太郎
    • Place of Presentation
      東北大学WPI-AIMR
    • Year and Date
      2009-01-09
    • Related Report
      2010 Final Research Report
  • [Presentation] ゼロ磁場極限におけるディラック粒子の量子ホール効果2008

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2010 Final Research Report
  • [Presentation] ゼロ磁場極限におけるディラック粒子の量子ホール効果2008

    • Author(s)
      野村健太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等本研究の成果を含む功績が認められ、第3回日本物理学会若手奨励賞を受賞した。

    • Related Report
      2010 Final Research Report

URL: 

Published: 2008-04-01   Modified: 2020-05-15  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi