Effective Interaction between Electrons and Its Application to Quantum Dots
| Project/Area Number |
12640291
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
素粒子・核・宇宙線
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| Research Institution | Sophia University |
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Principal Investigator |
TAKAYANAGI Kazuo Sophia University, Department of Physics, Professor, 理工学部, 教授 (30183859)
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| Co-Investigator(Kenkyū-buntansha) |
SHIMIZU Kiyotaka Sophia University, Department of Physics, Professor, 理工学部, 教授 (00143363)
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| Project Period (FY) |
2000 – 2003
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| Project Status |
Completed (Fiscal Year 2003)
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| Budget Amount *help |
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2000: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | Short Range Correlation / Effective Interaction / Nonlocal Potential / Spin Density Response / Charge Density Response / 量子ドット |
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| Research Abstract |
First, we have developed an effective electron-electron interaction in the medium. The interaction features the short range correlations expressed by multiple scattering processes. The effective interaction is derived by using the separable approximation and the density matrix expansion to the solution of the Bethe-Goldstone equation. The obtained interaction is highly nonlocal, and consequently the p-wave interaction is important. We have expressed the effective interaction as a function of the density(r_s) and the polarization (ξ), which allows applications to various 2D electron systems.
Second, we have investigated the response functions of 2D electron systems under a magnetic field in the framework of the extended RPA. Our results are in accordance with empirical findings, and stress the important roles played by the 2-particle-2-hole degrees of freedom.
Third, we have studied the relation between the local and the nonlocal potential in the description of quantum many body systems. Our approach gives an intuitive insight into the effects of the nonlocality of the potential.
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Report
(5 results)
Research Products
(19 results)
