Theoretical study on highly correlated quantum states and current fluctuations of interacting electrons in nanoscale and mesoscale systems
| Project/Area Number |
18K03495
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Review Section |
Basic Section 13020:Semiconductors, optical properties of condensed matter and atomic physics-related
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| Research Institution | Osaka Metropolitan University (2022)
Osaka City University (2018-2021) |
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Principal Investigator |
Oguri Akira 大阪公立大学, 大学院理学研究科, 教授 (10204166)
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| Project Period (FY) |
2018-04-01 – 2023-03-31
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| Project Status |
Completed (Fiscal Year 2022)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2022: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2021: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 物性理論 / 量子ドット / 強相関電子系 / 非平衡状態 / 近藤効果 / フェルミ流体 / 電流ノイズ / ケルディシュ・グリーン関数 / ケルデイシュ・グリーン関数 / ケルディッシュ・グリーン関数 / 非平衡電流・電流ゆらぎ / 輸送現象 / 電流ゆらぎ / 電子相関 |
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| Outline of Final Research Achievements |
In mesoscale and nanoscale systems such as quantum dots, quantum condensed phases in which electrons are strongly correlated are realized at low energies. In this study, using an extension of Fermi fluid theory based on many-body quantum mechanics, we have shown that three-body correlations between electrons systematically contribute to transport phenomena such as nonlinear conductivity and current fluctuations. Furthermore, using the numerical renormalization group method, which can accurately calculate low-energy quantum states, we have demonstrated concrete examples of the effect of three-body correlations on transport coefficients of quantum impurity systems with internal degrees of freedom such as orbital degrees of freedom in addition to spin.
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| Academic Significance and Societal Importance of the Research Achievements |
本研究はメゾ・ナノスケール系で実現される非平衡近藤効果に関連するものである。近藤効果における低エネルギーの量子状態は、Landauが提唱したFermi流体論を相互作用が局所的である系に拡張した理論によって記述されることが、1970年代に示されていた。しかし、従来の理論は相互作用の効果がくりこまれた準粒子のもつ寿命を正確に導くものであったが、対称性が低い系では同程度の寄与を与える準粒子の高次のエネルギー・シフトについて不十分であった。本研究では、このエネルギー・シフトが電子間の三体相関によって決ることを示し、輸送係数の振舞いから量子凝縮相の特徴を厳密かつ系統的に解析する有効理論を構築した。
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Report
(6 results)
Research Products
(92 results)
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[Journal Article] Quantum Noise in Carbon Nanotubes as a Probe of Correlations in the Kondo Regime2019
Author(s)
M. Ferrier, R. Delagrange, J. Basset, H. Bouchiat, T. Arakawa, T. Hata, R. Fujiwara, Y. Teratani, R. Sakano, A. Oguri, K. Kobayashi, and R. Deblock.
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Journal Title
Journal of Low Temperature Physics
Volume: special issue for anniversary
Issue: 5-6
Pages: 1-34
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research
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[Presentation] 磁気コンダクタンスを用いた近藤温度の見積もりの実験データへの適用2022
Author(s)
阪野塁, 秦徳郎, 本山海司, 寺谷義道, 堤和彦, 荒川智紀, Meydi Ferrier, Richard Deblock, 江藤幹雄, 小林研介, 小栗章
Organizer
日本物理学会秋季大会 (2022.9 東京工業大学)
Related Report
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[Presentation] Universal Scaling property of Linear Conductance through a Kondo Dot in Magnetic Field and its Application2022
Author(s)
Rui Sakano, Tokuro Hata, Kaiji Motoyama, Yochimichi Teratani, Tomonori Arakawa , Meydi Ferrier, Richard Deblock, Mikio Eto, Kensuke Kobayashi, and Akira Oguri
Organizer
29th International Conference on Low Temperature Physics (August, 2022, Sapporo)
Related Report
Int'l Joint Research
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[Presentation] 近藤効果における3体相関の実験的検出2018
Author(s)
秦徳郎, 荒川智紀, Lee Sanghyun, 小林研介, Meydi Ferrier, Raphaelle Delagrange, Richard Deblock, 寺谷義道, 小栗章, 阪野塁
Organizer
日本物理学会 (同志社大学 京田辺キャンパス, 9.9-9.12)
Related Report
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