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Theoretical study on quantum transport through strongly correlated electrons in quantum dots and nano materials

Research Project

Project/Area Number 23540375
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Condensed matter physics I
Research InstitutionOsaka City University

Principal Investigator

OGURI Akira  大阪市立大学, 理学(系)研究科(研究院), 教授 (10204166)

Co-Investigator(Kenkyū-buntansha) SAKANO Rui  東京大学, 物性研, 助教 (00625022)
TANAKA Yoichi  アドバンスソフト株式会社, 研究員
HEWSON A. C.  Imperial College, Department of Mathematics, Senior Research Investigator
SHIMAMOTO Masashi  大阪市立大学, 大学院・理学研究科, 大学院生
AWANE Miyuki  大阪市立大学, 大学院・理学研究科, 大学院生
SATO Izumi  大阪市立大学, 大学院・理学研究科, 大学院生
Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords近藤効果 / 強相関電子系 / 量子ドット / 非平衡電流 / ショットノイズ / 超伝導 / アンドレーエフ散乱 / 数値くりこみ群 / 物性理論 / Green関数 / 電流ノイズ / 国際情報交換 / アメリカ合衆国 / 国際情報交流 / イギリス
Research Abstract

We have studied effects of inter-electron interaction on transport through quantum dots and nanoscale materials. We have proposed a novel large N expansion, where N is an orbital degeneracy. This method is different from the conventional ones and enables us a systematic calculation beyond the RPA. We have also obtained exact interacting Green's function for the Anderson impurity out of equilibrium at high bias voltages. Furthermore, we have provided an exact expression for nonequilibrium current fluctuations through a quantum dot, which includes a ferromagnetic Hund's rule coupling, in the low-energy Fermi liquid regime. Our result shows that the shot noise can be expressed in terms of renormalized parameters of quasiparticles defined with respect to equilibrium ground state in the particle-hole symmetric case. We have also studied interplay between Kondo and Andreev-Josephson effects of a quantum dot coupled to three terminals, consisting of normal and superconducting leads.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (56 results)

All 2014 2013 2012 2011 Other

All Journal Article (12 results) (of which Peer Reviewed: 12 results) Presentation (43 results) (of which Invited: 1 results) Remarks (1 results)

  • [Journal Article] Exact interacting Green's function for the Anderson impurity at high bias voltages2013

    • Author(s)
      A. Oguri, and Rui Sakano
    • Journal Title

      Phys. Rev. B

      Volume: 87 Issue: 15

    • DOI

      10.1103/physrevb.88.155424

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 1/(N-1) expansion approach to full counting statistics for the SU(N) Anderson model2013

    • Author(s)
      A. Oguri, and Rui Sakano
    • Journal Title

      Journal of the Korean Physical Society

      Volume: 63 Issue: 3 Pages: 423-427

    • DOI

      10.3938/jkps.63.423

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 1/(N-1) expansion for an SU(N) impurity Anderson model : a new large-N scheme based on a perturbation theory in U2013

    • Author(s)
      A. Oguri, R. Sakano and T. Fujii
    • Journal Title

      Low-Dimensional Functional Materials(NATO Science for Peace and Security Series B : Physics and Biophysics), edited by R. Egger, D. Matrasulov, and K. Rakhimov

      Pages: 165-178

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Interplay between Kondo and Andreev-Josephson effects in a quantum dot coupled to one normal and two superconducting leads2013

    • Author(s)
      Akira Oguri, Yoichi Tanaka, Johannes Bauer
    • Journal Title

      Phys. Rev. B

      Volume: 87 Issue: 7

    • DOI

      10.1103/physrevb.87.075432

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Full Counting Statistics for Orbital-Degenerate Impurity Anderson Model with Hund' s Rule Exchange Coupling2013

    • Author(s)
      R. Sakano, Y. Nishikawa, A. Oguri, A. C. Hewson, and S. Tarucha
    • Journal Title

      Phys. Rev. Lett

      Volume: 108 Issue: 26 Pages: 226401-226401

    • DOI

      10.1103/physrevlett.108.266401

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 1/(N-1) expansion for an SU(N) impurity Anderson model: a new large-N scheme based on a perturbation theory in U2013

    • Author(s)
      A. Oguri, Rui Sakano, and Tatsuya Fujii
    • Journal Title

      Low-Dimensional Functional Materials, edited by R. Egger, D. Matrasulov, and K. Rakhimov (Springer, Dordrecht, The Netherlands)

      Volume: NATO Science Series B Pages: 165-178

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Crossover between two different Kondo couplings in side-coupled double quantum dots2012

    • Author(s)
      Yoichi Tanaka, N. Kawakami and A. Oguri
    • Journal Title

      Phys. Rev. B

      Volume: 85 Issue: 15

    • DOI

      10.1103/physrevb.85.155314

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Transport through a single Anderson impurity coupled to one normal and two superconducting leads2012

    • Author(s)
      Akira Oguri and Yoichi Tanaka
    • Journal Title

      J. Phys. Conference Series

      Volume: 391 Pages: 012146-012146

    • DOI

      10.1088/1742-6596/391/1/012146

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 量子ドットの近藤効果による非平衡電流の完全計数統計2012

    • Author(s)
      阪野塁, 小栗章, 小林研介
    • Journal Title

      固体物理

      Volume: 47 Pages: 475-485

    • NAID

      40019477213

    • URL

      http://www.agne.co.jp/kotaibutsuri/kota1047.htm

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 1/(N-1) expansion for a finite U Anderson model away from half-filling2012

    • Author(s)
      A. Oguri
    • Journal Title

      Phys. Rev. B

      Volume: 85 Issue: 15

    • DOI

      10.1103/physrevb.85.155404

    • Related Report
      2013 Final Research Report 2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] 1/(N-1) expansion based on a perturbation theory in U for the Anderson model with N-fold degeneracy2011

    • Author(s)
      A. Oguri, R. Sakano, and T. Fujii
    • Journal Title

      Phys. Rev. B

      Volume: 84 Issue: 11

    • DOI

      10.1103/physrevb.84.113301

    • Related Report
      2013 Final Research Report 2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Full counting statistics for SU(N) impurity Anderson model2011

    • Author(s)
      Rui Sakano, Akira Oguri, Takeo Kato, Seigo Tarucha
    • Journal Title

      PHYSICAL REVIEW B

      Volume: 83 Issue: 24 Pages: 2413011-5

    • DOI

      10.1103/physrevb.83.241301

    • Related Report
      2013 Final Research Report 2011 Research-status Report
    • Peer Reviewed
  • [Presentation] 超伝導リードに接続された3角形3重量子ドットの量子相転移と基底状態の性質2014

    • Author(s)
      佐藤泉, 小栗章
    • Organizer
      日本物理学会
    • Place of Presentation
      東海大学, 湘南
    • Year and Date
      2014-03-28
    • Related Report
      2013 Final Research Report
  • [Presentation] SU(N)近藤効果の1/(N-1)展開による研究 : Green関数のω依存性に対する軌道縮退の効果2014

    • Author(s)
      粟根美由紀, 小栗章
    • Organizer
      日本物理学会
    • Place of Presentation
      東海大学, 湘南
    • Year and Date
      2014-03-28
    • Related Report
      2013 Final Research Report
  • [Presentation] バイアスを印加された近藤量子ドットのスピンカレント揺らぎ2014

    • Author(s)
      阪野塁, 小栗章
    • Organizer
      日本物理学会
    • Place of Presentation
      東海大学, 湘南
    • Year and Date
      2014-03-28
    • Related Report
      2013 Final Research Report
  • [Presentation] Double expansion with respect to U and 1/(N-1) for an SU(N) impurity Anderson model2014

    • Author(s)
      A. Oguri and M. Awane
    • Organizer
      American Physical Society March Meeting
    • Place of Presentation
      Denver, USA
    • Year and Date
      2014-03-03
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] 超伝導リードに接続された3角形3重量子ドットの 量子相転移と基底状態の性質2014

    • Author(s)
      佐藤 泉,小栗 章
    • Organizer
      日本物理学会
    • Place of Presentation
      東海大学 湘南キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] SU(N)近藤効果の1/(N-1)展開による研究: Green関数のω依存性に対する軌道縮退の効果2014

    • Author(s)
      粟根 美由紀,小栗 章
    • Organizer
      日本物理学会
    • Place of Presentation
      東海大学 湘南キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] バイアスを印加された近藤量子ドットのスピンカレント揺らぎ2014

    • Author(s)
      阪野 塁,小栗 章
    • Organizer
      日本物理学会
    • Place of Presentation
      東海大学 湘南キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] 軌道縮退Anderson模型1/(N-1)展開 : 量子ドット系の動的相関関数I2013

    • Author(s)
      粟根美由紀, 小栗章
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Year and Date
      2013-09-27
    • Related Report
      2013 Final Research Report
  • [Presentation] 軌道縮退Anderson模型1/(N-1)展開 : 量子ドット系の動的相関関数II2013

    • Author(s)
      小栗章, 粟根美由紀
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Year and Date
      2013-09-27
    • Related Report
      2013 Final Research Report
  • [Presentation] S=1近藤ドットにおける電流のスピン・軌道チャネル間相関2013

    • Author(s)
      阪野塁, 小栗章, 西川裕規, A. C. Hewson
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Year and Date
      2013-09-27
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] 近藤ドットによる電流中のエンタグルメ生成とベル型不等式2013

    • Author(s)
      阪野塁, 小栗章, 西川裕規, A. C. Hewson, 加藤岳生
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Year and Date
      2013-09-27
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] Correlations functions of an Anderson impurity at high energies2013

    • Author(s)
      A. Oguri and R. Sakano
    • Organizer
      International Conference on Strongly Correlated Electron Systems
    • Place of Presentation
      Tokyo
    • Year and Date
      2013-08-06
    • Related Report
      2013 Final Research Report
  • [Presentation] Cross-correlation of Nonequilibrium Current through a Quantum Dot with a Hund' s Rule Exchange Coupling2013

    • Author(s)
      R. Sakano, A. Oguri, Y. Nishikawa, and A. C. Hewson
    • Organizer
      International Conference on Strongly Correlated Electron Systems
    • Place of Presentation
      Tokyo
    • Year and Date
      2013-08-06
    • Related Report
      2013 Final Research Report
  • [Presentation] アンダーソン量子ドットの高バイアス極限でのクーロン斥力による電流揺らぎII2013

    • Author(s)
      小栗章, 阪野塁
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-27
    • Related Report
      2013 Final Research Report
  • [Presentation] 異方的フント則結合のあるアンダーソン量子ドットの非平衡電流と普遍特性2013

    • Author(s)
      阪野塁, 小栗章
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-27
    • Related Report
      2013 Final Research Report
  • [Presentation] 1/(N-1) expansion for an SU(N) impurity Anderson model : a new large-N scheme based on a perturbation theory in U2013

    • Author(s)
      A. Oguri, R. Sakano, and T. Fujii
    • Organizer
      Quantum Science of Strongly Correlated Systems Theory Forum : International Symposium on " Strongly Correlated Quantum Science"
    • Place of Presentation
      Tokyo
    • Year and Date
      2013-01-27
    • Related Report
      2013 Final Research Report
  • [Presentation] 軌道縮退Anderson模型の1/(N-1)展開: 量子ドット系の動的相関関数 I2013

    • Author(s)
      粟根 美由紀,小栗 章
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 軌道縮退Anderson模型の1/(N-1)展開: 量子ドット系の動的相関関数 II2013

    • Author(s)
      小栗 章,粟根 美由紀
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Correlation functions of an Anderson impurity at high energies2013

    • Author(s)
      A. Oguri and Rui Sakano
    • Organizer
      International Conference on Strongly Correlated Electron Systems
    • Place of Presentation
      Ito International Research Center, The University of Tokyo
    • Related Report
      2013 Annual Research Report
  • [Presentation] Cross-correlation of Nonequilibrium Current through a Quantum Dot with a Hund’s Rule Exchange Coupling2013

    • Author(s)
      Rui Sakano, A. Oguri, Y. Nishikawa, and A. C. Hewson
    • Organizer
      International Conference on Strongly Correlated Electron Systems
    • Place of Presentation
      Ito International Research Center, The University of Tokyo
    • Related Report
      2013 Annual Research Report
  • [Presentation] アンダーソン量子ドットの高バイアス極限での クーロン斥力による電流揺らぎII2013

    • Author(s)
      小栗 章, 阪野 塁
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 異方的フント則結合のあるアンダーソン量子ドットの 非平衡電流と普遍特性2013

    • Author(s)
      阪野 塁,小栗 章
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 1/(N-1) expansion for an SU(N) impurity Anderson model: a new large-N scheme based on a perturbation theory in U2013

    • Author(s)
      Akira Oguri, Rui Sakano and Tatsuya Fujii
    • Organizer
      Quantum Science of Strongly Correlated Systems Theory Forum: International Symposium on “Strongly Correlated Quantum Science”
    • Place of Presentation
      東京大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 1/(N-1) expansion for an SU(N) impurity Anderson model : a new large-N scheme based on a perturbation theory in U2012

    • Author(s)
      A. Oguri, R. Sakano, and T. Fujii
    • Organizer
      the NATO Advanced Research Workshop on Recent Trends in Energy Security : with Special Emphasis on Low-Dimensional Functional Materials
    • Place of Presentation
      Tashkent, Uzbekistan
    • Year and Date
      2012-10-15
    • Related Report
      2013 Final Research Report
  • [Presentation] 軌道縮退Anderson模型に基づく完全計数統における電流保存と1/(N-1)展開2012

    • Author(s)
      小栗章, 阪野塁
    • Organizer
      日本物理学会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2012-09-20
    • Related Report
      2013 Final Research Report
  • [Presentation] アンダーソン量子ドットの高バイアス極限でのクーロン斥力による電流揺らぎ2012

    • Author(s)
      阪野塁, 小栗章
    • Organizer
      アンダーソン量子ドットの高バイアス極限でのクーロン斥力による電流揺らぎ
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2012-09-20
    • Related Report
      2013 Final Research Report
  • [Presentation] 1/(N-1) expansion for a finite U Anderson model with an SU(N) symmetry2012

    • Author(s)
      A. Oguri and R. Sakano
    • Organizer
      International Conference on Magnetism
    • Place of Presentation
      Busan, Korea
    • Year and Date
      2012-07-09
    • Related Report
      2013 Final Research Report
  • [Presentation] 軌道縮退Anderson模型の1/(N-1)展開 : ゲート電圧依存性および非平衡状態への拡張2012

    • Author(s)
      小栗章, 阪野塁, 藤井達也
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
    • Related Report
      2013 Final Research Report
  • [Presentation] Hund則を有する量子ドット系の近藤効果による低バイアス非平衡電流II2012

    • Author(s)
      阪野塁, 西川裕規, 小栗章, A. C. Hewson, 樽茶清悟
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
    • Related Report
      2013 Final Research Report 2011 Research-status Report
  • [Presentation] 3角形3重量子ドット系の近藤領域におけるAndreev散乱とJosephson電流2012

    • Author(s)
      島本将志, 小栗章
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
    • Related Report
      2013 Final Research Report 2011 Research-status Report
  • [Presentation] アンダーソン量子ドットの高バイアス極限での クーロン斥力による電流揺らぎ2012

    • Author(s)
      阪野 塁,小栗 章
    • Organizer
      日本物理学会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 軌道縮退Anderson 模型に基づく完全計数統における 電流保存と1/(N - 1) 展開2012

    • Author(s)
      小栗 章, 阪野 塁
    • Organizer
      日本物理学会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 1/(N-1) expansion for an SU(N) impurity Anderson model: a new large-N scheme based on a perturbation theory in U2012

    • Author(s)
      Akira Oguri, Rui Sakano and Tatsuya Fujii
    • Organizer
      The NATO Advanced Research Workshop on Recent Trends in Energy Security: with Special Emphasis on Low-Dimensional Functional Materials
    • Place of Presentation
      Tashkent, Uzbekistan
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 1/(N-1) expansion for a finite U Anderson model with an SU(N) symmetry2012

    • Author(s)
      Akira Oguri and Rui Sakano
    • Organizer
      The 19th International Conference on Magnetism
    • Place of Presentation
      Busan, Korea
    • Related Report
      2012 Research-status Report
  • [Presentation] 軌道縮退Anderson模型の1/(N-1)展開: ゲート電圧依存性および非平衡状態への拡張2012

    • Author(s)
      小栗 章,阪野 塁,藤井 達也
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Nonequilibrium current in orbital-degenerate Anderson dot with a Hund rule' s coupling2011

    • Author(s)
      R. Sakano, Y. Nishikawa, A. Oguri, A. C. Hewson, and S. Tarucha
    • Organizer
      The 26th Nishinomiya-Yukawa Memorial International Workshop on Novel Quantum States in Condensed Matter : Correlation, Frustration and Topology
    • Place of Presentation
      Kyoto
    • Year and Date
      2011-12-06
    • Related Report
      2013 Final Research Report
  • [Presentation] 電子正孔対称・軌道縮退Anderson模型の1/(N-1)展開と非平衡近藤効果2011

    • Author(s)
      小栗章, 阪野塁, 藤井達也
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-24
    • Related Report
      2013 Final Research Report 2011 Research-status Report
  • [Presentation] Hund則を有する量子ドット系の近藤効果による低バイアス非平衡電流2011

    • Author(s)
      阪野塁, 小栗章
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-24
    • Related Report
      2013 Final Research Report 2011 Research-status Report
  • [Presentation] 多端子Anderson量子ドット系の完全計数統とHanbury・Brown-Twiss効果2011

    • Author(s)
      阪野塁, 小栗章, 加藤岳生, 樽茶清悟
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-24
    • Related Report
      2013 Final Research Report 2011 Research-status Report
  • [Presentation] 3角形3重量子ドット系の近藤領域における近藤効果とAndreev散乱2011

    • Author(s)
      島本将志, 小栗章
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-24
    • Related Report
      2013 Final Research Report 2011 Research-status Report
  • [Presentation] Fermi Liquid Description for Andreev-Kondo Transport Through Quantum dot Coupled to Normal and Superconducting Leads2011

    • Author(s)
      A. Oguri and Yoichi Tanaka
    • Organizer
      International Conference on Strongly Correlated Electron Systems
    • Place of Presentation
      Cambridge, UK
    • Year and Date
      2011-08-31
    • Related Report
      2013 Final Research Report
  • [Presentation] Fermi Liquid Description for Andreev-Kondo Transport through Quantum dot Coupled to Normal and Superconducting Leads2011

    • Author(s)
      A. Oguri and Yoichi Tanaka
    • Organizer
      International Conference on Strongly on Strongly Correlated Electron Systems 2011
    • Place of Presentation
      Cambridge, UK
    • Related Report
      2011 Research-status Report
  • [Presentation] Nonequilibrium current in orbital-degenerate Anderson dot with a Hund rule's coupling2011

    • Author(s)
      R. Sakano, Y. Nishikawa, A. Oguri, et al.
    • Organizer
      Nishinomiya-Yukawa Memorial International Workshop
    • Place of Presentation
      Kyoto
    • Related Report
      2011 Research-status Report
  • [Remarks] A. Oguri, Kondo Assisted Charge Redistribution in Mesoscale Multi-Orbital Systems, JPSJ Online News and Comments (December 10, 2012)

    • URL

      http://dx.doi.org/10.7566/JPSJNC.9.18

    • Related Report
      2013 Final Research Report

URL: 

Published: 2011-08-05   Modified: 2020-05-15  

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