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Theory of Coulomb Blockade in Carbon Nanotubes

Research Project

Project/Area Number 14540302
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体物性Ⅰ(光物性・半導体・誘電体)
Research InstitutionNara Women's University

Principal Investigator

IWABUCHI Shuichi  Nara Women's University, Faculty of Science, Professor, 理学部, 教授 (40294277)

Co-Investigator(Kenkyū-buntansha) YOSHIOKA Hideo  Nara Women's University, Graduate School of Humanities and Sciences, Associate Professor, 大学院・人間文化研究科, 助教授 (40252225)
Project Period (FY) 2002 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2004: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2003: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2002: ¥1,700,000 (Direct Cost: ¥1,700,000)
KeywordsCoulomb blockade / Tomonaga-Luttinger liquid / ultrasmall tunnel junctions / carbon nanotubes / single electron tunneling devices / quantum wires / mesoscopic systems / nanotechnology / 単電子トンネリング / 単電子トランジスター / C-SET / 非フェルミ流体 / ボソン化法 / 開放境界条件 / クーロンブロッケイド
Research Abstract

We proposed a self-consistent microscopic theory of the Coulomb blockade in the capacitively coupled single-electron transistor structure with Tomonaga-Luttinger liquid island connected with FL electrodes at both ends (TLL C-SET). Candidates for the island of TLL C-SET are carbon nanotubes and quantum wires. In this theory, the charging effect and the Tomonaga-Luttinger nature are treated in a consistent manner by the open boundary bosonization technique with consideration of zero modes based on the theory of C-SET for Fermi liquid electrodes. Analytical expression of the tunneling current in TLL C-SET is obtained up to the lowest order with respect to the tunneling Hamiltonian for arbitrary environmental impedance and it reasonably describes current-voltage characteristics caused by Coulomb blockade in Tomonaga-Luttinger liquid. We showed that, in the ultrasmall but finite Tomonaga-Luttinger liquid, interaction-dependent exponent of the power law has system size dependence in addition to contact- (bulk- or edge-) nature dependence.
Electronic properties of carbon nanotube and carbon nanotube families are also studied. NMR relaxation rate, spin excitation and Friedel oscillation of local charge density are discussed. In future, based on the specific TLL theory to carbon nanotubes, the theory proposed in this research should be extended in order to understand the details of the current-voltage characteristics experimentally found.

Report

(4 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (24 results)

All 2004 2003 2002 Other

All Journal Article (15 results) Publications (9 results)

  • [Journal Article] Theory on the Coulomb Blockade and Current-Voltage Characteristics in To monaga-Luttinger Liquid C-SET2004

    • Author(s)
      Chika Tanaka, Shuichi Iwabuchi, Fujio Wakaya
    • Journal Title

      Physica E22

      Pages: 288-291

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Theory on the Coulomb Blockade and Current-Voltage Characteristics in Tomonaga-Luttinger Liquid C-SET2004

    • Author(s)
      Chika Tanaka, Shuichi Iwabuchi, Fujio Wakaya
    • Journal Title

      Physica E 22

      Pages: 288-291

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Theory on the Coulomb blockade and current-voltage characteristics in Tomonaga-Luttinger liquid C-SET2004

    • Author(s)
      C.Tanaka, S.Iwabuchi, F.Wakaya
    • Journal Title

      PHYSICA E Vol.22

      Pages: 288-291

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Charge ordering and Knight shift in one-dimensional electron systems nearly half-filling2004

    • Author(s)
      H.Yoshioka, Y.Hashizume
    • Journal Title

      J. Phys. IV France Vol.114

      Pages: 159-161

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Tomonaga-Luttinger-Liquid Behavior in Conducting Carbon Nanotubes with Open Ends2003

    • Author(s)
      Hideo Yoshioka
    • Journal Title

      Physica E18

      Pages: 212-213

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Valence-Band Photoemission Study of Single-Wall Carbon Nanotubes2003

    • Author(s)
      H.Shiozawa et al.
    • Journal Title

      AIP Conference Proceedings 685

      Pages: 139-142

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spin Excitation in Nano-Graphite Ribbons with Zigzag Edges2003

    • Author(s)
      Hideo Yoshioka
    • Journal Title

      Journal of the Physical Society of Japan 72

      Pages: 2145-2148

    • NAID

      110001974297

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Direct Observation of Tomonaga-Luttinger-Liquid State in Carbon Nanotubes at Low Temperature2003

    • Author(s)
      H.Ishii et al.
    • Journal Title

      Nature 426

      Pages: 540-544

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Tomonaga-Luttinger-Liquid Behavior in Conducting Carbon Nanotubes with Open Ends2003

    • Author(s)
      Hideo Yoshioka
    • Journal Title

      Physica 18

      Pages: 212-213

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Direct Observation of Tomonaga-Luttinger-Liquid State in Carbon Nanotubes at Low Temperature2003

    • Author(s)
      H.Ishi et al.
    • Journal Title

      Nature 426

      Pages: 540-544

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Theory of Coulomb Blockade in Tomonaga-Luttinger Liquid Connected with Fermi Liquids2002

    • Author(s)
      Chika Tanaka, Shuichi Iwabuchi
    • Journal Title

      MicroElectronic Engineering 63

      Pages: 43-46

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Magnetic Fluctuations in a Charge Ordered State of the One-Dimensional Extended Hubbard Model with a Half-Filled Band2002

    • Author(s)
      Hideo Yoshioka
    • Journal Title

      Journal of the Physical Society of Japan 71

      Pages: 1812-1815

    • NAID

      110001979084

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Tomonaga-Luttinger-Liquid Theory of Metallic Carbon Nanotubes with Open Boundaries2002

    • Author(s)
      Hideo Yoshioka, Yoko Okamura
    • Journal Title

      Journal of the Physical Society of Japan 71

      Pages: 2512-2519

    • NAID

      10010899064

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Theory of Coulomb Blockade in an Ultrasmall Double Tunnel Junction with a Capacitively-Coupled Gate Structure

    • Author(s)
      S.Iwabuchi, H.Higurashi, F.Wakaya, C.Tanaka, Y.Nagaoka
    • Journal Title

      Phys. Rev. B(in press)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Theory of Coulomb Blockade in An Ultrasmall Double Tunnel Junction with A Capacitively-Coupled Gate Structure

    • Author(s)
      S.Iwabuchi, H.Higurashi, F.Wakaya, C.Tanaka, Y.Nagaoka
    • Journal Title

      Phys.Rev B (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Publications] Chika Tanaka, Fujio Wakaya, Shuichi Iwabuchi: "Theory on the Coulomb Blockade and Current-Voltage Characteristics in Tomonaga-Luttinger Liquid C-SET"Physica E : Low-dimensional Systems and Nanostructures. (in press). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Yoshioka: "Tomonaga-Luttinger-liquid behavior in conducting carbon nanotubes with open ends"Physica E. 18. 212-213 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Ishi et al.: "Direct observation of Tomonaga-Luttinger-liquid state in carbon nanotubes at low temperature"Nature. 426. 540-544 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Yoshioka: "Spin Excitaion in Nano-Graphite Ribbons with Zigzag Edges"Journal of the Physical Society of Japan. 72. 2145-2148 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] C.Tanaka, S.Iwabuchi: "Theory of Coulomb Blockade in Tomonaga-Luttinger Liquid Connected with Ferlimi Liquida"Microelectronics Engineering. 63. 43-46 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Iwabuchi, H.Higurashi, F.Wakaya, C.Tanaka, Y.Nagaoka: "Theory of Coulomb blockade in an ultrasmall double tunnel junction with a capacitively-coupled gate structure"Phys.Rev.B. (in press).

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Yoshioka, Y.Okamura: "Tomonaga-Luttinger-Liquid Theory of Metallic Carbon Nanotubes with Open Boundaries"J.Phys.Soc.Jpn.. 71. 2512-2519 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Yoshioka, Y.Hashizume: "Excitations in the charge ordered state of one-dimensional extended Hubbard model at half-filling"Synthetic Metals. (in press).

    • Related Report
      2002 Annual Research Report
  • [Publications] 大津元一他編 (部分執筆:岩渕修一): "ナノ光工学ハンドブック(執筆箇所:2理論的基礎…微小領域の電子系の振舞い)"朝倉書店. 624 (2002)

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2020-05-15  

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