2013 Fiscal Year Final Research Report
Solving quantum nonequilibrium electric conduction as a many-body scattering problem
| Project/Area Number |
22340110
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
NAKAMURA Tota 芝浦工業大学, 工学部, 教授 (50280871)
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| Co-Investigator(Renkei-kenkyūsha) |
NISHINO Akinori 神奈川大学, 工学部, 准教授 (00466848)
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| Research Collaborator |
PETROKSY Tomio University of Texas, Department of Physics, Senior Researcher
ORDONEZ Gonzalo Butler University, Department of Physics and Astronomy, Associate Professor
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | 量子ドット / 電子間相互作用 / 電流電圧特性 / ランダウアー公式 / 負の微分コンダクタンス / ２体束縛状態 |
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| Research Abstract |
Experiments that measure the current-voltage characteristics across a quantum dot have been widely done, but there have not been a decisive theory that explains the experimental results. We here proposed a new theory that is independent of and complementary to a preceding theory. Our theory is a natural extension of the Landauer formula, which is a decisive theory for non-interacting electron systems.
Our theory, when applied to a simple model of a quantum dot, yielded a phenomenon where we have a less current for a greater voltage drop. We explained the phenomenon in terms of a two-body bound state that appears because of the interaction. The current decreases because the two-body bound state cannot pass through the quantum dot.
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