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  • 學位論文

LDA+U方法之模組化 F90 程式的實作與測試

Implementation and testing of modular F90 program for LDA+U method

指導教授 : 李明憲

摘要


我們研究群所使用基於密度泛函理論的計算軟體CASTEP來研究材料物性在許多系統的計算上相當成功,但是對於過度金屬氧化物這有些局域化d電子態的材料其倍頻係數計算有不精確的情形,所以引入了LDA+U方法來修正,我們研究群使用的 old CASTEP 程式已存在了LDA+U方法,並且也給出合理的結果,我們想要更進一步讓 New CASTEP程式也有LDA+U方法。在嘗試建構New CASTEP LDA+U程式之後,我們也成功的在New CASTEP 上建立了我們的LDA+U程式,並進行了一些測試。測試後我們的LDA+U程式能夠正常運作,得到的結果也能夠符合理論數據,雖然我們的LDA+U程式收斂性仍有待加強,並且仍有一些未完成的部分(不能進行能帶結構計算),但整體來說仍是一個不錯的參考。

關鍵字

第一原理計算 LDA+U Fortran 90

並列摘要


The DFT bases code CASTEP was used in our group for many successful studies of materirals properties of various system.However for transition metal Oxides there localized d-electron casue the calculate SHG coefficient to be not accurate.We used LDA+U to correct the problem which was demonstrated using old CASTEP code. Now we would like to implement LDA+U into New CASTEP.We succeed implement LDA+U code into New CASTEP, and make some test.Our code can normally complete LDA+U calculate,and the result conform with other’s paper.Although our LDA+U code not realy complete(can not be used on band structure calculate) ,but the whole was still a good reference.

參考文獻


1. Vlasdimir I. Anisimov, Jan Zaanen, and Ole K. Andersen , Band theory and Mott insulators: Hubbard U instead of Stoner I, PRB v.44, p.943 (1991)
2. Vlasdimir I. Anisimov, I. V. Solovyev, and M. A. Korotin , Density-functional theory and NiO photoemission spectra, PRB v.48, p.16929 (1993)
3. I. V. Solovyev, P. H. Dederichs and V. I. Anisimov, Corrected atomic limit in the local-density approximation and the electronic structure of d impurities in Rb, PRB v.50, p.16861 (1994)
4. H. Sawada, Y. Morikawa, K. Terakura and N. Hamada, Jahn-Teller distortion and magnetic structure in LaMnO3 , PRB v.56, p.12154 (1997)
5. David Vanderbilt, Soft self-consistent pseudopotentials in a generalized eigenvalue formalism, PRB v.41, p.7892 (1990)

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