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2011 Fiscal Year Final Research Report

New common ground between quantum transport phenomena and relativistic field theory brought by graphene

Research Project

  • PDF
Project/Area Number 21540265
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionKyoto University

Principal Investigator

SHIZUYA Ken-ichi  京都大学, 基礎物理学研究所, 教授 (50154216)

Project Period (FY) 2009 – 2011
Keywords素粒子(理論)
Research Abstract

Graphene attracts great attention as a condensed-matter system that supports Dirac fermions as charge carriers. We explored some characteristic properties of graphene that reflect its"relativistic"vacuum structure and gauge anomalies, and reached the following observations : In a magnetic field bilayer graphene supports a number of pseudo-zero-mode Landau levels with orbital degeneracy.(1) They, under electron-electron interactions, get mixed and give rise to a new kind of collective excitations with nonzero electric moment.(2) Their orbital degeneracy is lifted by quantum fluctuations, leading to the"Lamb shift", as in the hydrogen atom.(3) Also, quantum fluctuations are responsible for many-body corrections to cyclotron resonance in graphene.

  • Research Products

    (11 results)

All 2012 2011 2010 2009

All Journal Article (8 results) (of which Peer Reviewed: 5 results) Presentation (3 results)

  • [Journal Article] Many-body corrections to cyclotron resonance in graphene2012

    • Author(s)
      K. Shizuya
    • Journal Title

      Journal of Physics : Conference Series

      Volume: 334 Pages: 1-5

    • DOI

      DOI:10.1088/1742-6596/334/1/012046

    • Peer Reviewed
  • [Journal Article] Renormalization and cyclotron resonance in bilayer graphene with weak electron-hole asymmetry2011

    • Author(s)
      K. Shizuya
    • Journal Title

      Physical Review

      Volume: B81 Pages: 1-10

    • DOI

      DOI:10.1103/PhysRevB.84.075409

    • Peer Reviewed
  • [Journal Article] くりこみとスケール不変性の量子的破れ.ワイルアノーマリ2010

    • Author(s)
      静谷謙一
    • Journal Title

      数理科学

      Volume: 570巻 Pages: 34-39

  • [Journal Article] グリーン関数と波動方程式-量子力学、場の理論とともに-2010

    • Author(s)
      静谷謙一
    • Journal Title

      数理科学

      Volume: 561巻 Pages: 51-56

  • [Journal Article] Many-body corrections to cyclotron resonance in monolayer and bilayer graphene2010

    • Author(s)
      K. Shizuya
    • Journal Title

      Physical Review

      Volume: B81 Pages: 1-10

    • DOI

      DOI:10.1103/PhysRevB.81.075407

    • Peer Reviewed
  • [Journal Article] スケール量子異常、漸近的自由性、超対称性2010

    • Author(s)
      静谷謙一
    • Journal Title

      数理科学・臨時別冊

      Pages: 112-119

  • [Journal Article] Pseudo-zero-mode Landau levels and pseudospin waves in bilayer graphene2009

    • Author(s)
      K. Shizuya
    • Journal Title

      Physica E

      Volume: 42 Pages: 736-739

    • DOI

      DOI:10.1016/j.physe.2009.11.055

    • Peer Reviewed
  • [Journal Article] Pseudo-zero-mode Landau levels and collective excitations in bilayer graphene2009

    • Author(s)
      K. Shizuya
    • Journal Title

      Physical Review B

      Volume: 79 Pages: 1-11

    • DOI

      DOI:10.1103/PhysRevB.79.165402

    • Peer Reviewed
  • [Presentation] Cyclotron resonance and renormalization in graphene and its bilayer2011

    • Author(s)
      K. Shizuya
    • Organizer
      CARBOMAT2011
    • Place of Presentation
      Catania, Italy
    • Year and Date
      2011-12-05
  • [Presentation] グラフェンにおけるサイクロトロン共鳴と多体効果2011

    • Author(s)
      静谷謙一
    • Organizer
      日本物理学会第66回年次大会
    • Year and Date
      2011-03-25
  • [Presentation] グラフェン2層系の擬ゼロモード・ランダウ準位と集団励起2009

    • Author(s)
      静谷謙一
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-26

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Published: 2013-07-31  

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