1999 Fiscal Year Final Research Report Summary
Application of Effective Electron-Electron Interactions to Metal Clusters
| Project/Area Number |
09640372
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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 Faculty of Science and Engineering, Sophia University, Professor, 理工学部, 教授 (30183859)
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| Co-Investigator(Kenkyū-buntansha) |
SHIMIZU Kiyotaka Faculty of Science and Engineering, Sophia University, Professor, 理工学部, 教授 (00143363)
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| Project Period (FY) |
1997 – 1999
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| Keywords | Effective Interactions / Metal Cluster / Short Range Correlations |
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| Research Abstract |
In this research project, we have succeeded firstly in developing an effective electron-electron, and secondly in examining many response functions using the effective interactions.
Our effective interactions feature the short range correlations in the medium which are expressed by multiple scattering processes. Such processes are well formulated in terms of the Bethe-Goldstone (BG) equation. We have applied firstly the separable approximation, and secondly the density matrix expansion to the numerical solutions to the BG equations, to obtain the Skyrme type effective interactions. The resultant interactions have proven to have strong nonlocality, and consequently the p-wave interaction is important. We have carried out the above program also for spin-polarized systems to obain spin-dependent electron-electron interactions. These effective interactions are expressed as functions of the density(r_s) and the polarization (ζ) so that our interactions can be applied to various calculations.
We have investigated the static response (compressibility and spin susceptibility) of several systems. Especially in two-dimensional systems, our calculations agree very well with the quantum Monte Carlo results, to show that our effective interactions express very well the short range correlations between electrons.
We believe that our approach to electronic systems has proven successful, and also has shown that it can be applied to many other fields.
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