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研究生: 李德浩
Der-Hau Lee
論文名稱: 鈣鈦礦結構之鈣釕氧化物CaRuO3的電子結構研究
First-Principles Study on Electronic Structure of Perovskite Ruthenate CaRuO3
指導教授: 鄭弘泰
Horng-Tay Jeng
口試委員:
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2007
畢業學年度: 95
語文別: 英文
論文頁數: 102
中文關鍵詞: 密度泛函電子結構第一原理
外文關鍵詞: Density Functional Theory, Electronic Structure, First-Principle
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  • 我們運用密度泛函理論架構下的廣義梯度近似與投影綴加波方法對鈣釕氧化物CaRuO3的電子結構進行第一原理研究。此外,為考慮釕離子之d軌域電子的局域化庫侖作用,我們同時以廣義梯度近似為基礎對此化合物展開修正計算。結果顯示鈣釕氧化物CaRuO3屬於鐵磁導體。另一方面,計算結果亦表明局域庫侖效應的修正與晶體結構的最佳化是獲得合理磁性基態的必要條件。


    Based on first principles, we use GGA and PAW method in the framework of density functional theory to investigate electronic structure of perovskite ruthenate CaRuO3. Additionally, we also perform GGA+U calculation to include the on site Coulomb interaction of Ru ion. The total-energy studies show that CaRuO3 stabilize in metallic conducting ground state with ferromagnetic ordering. Furthermore, the calculation show that it is necessary to carry out GGA+U scheme and structure optimization on this system.

    1 Theory of transition metal oxides 7 1.1 Crystal field theory. . . . . . . . . . . . . . . . . 7 1.2 Electronic structure calculation . . . . . . . . . . 9 1.3 Magnetism of transition metal oxides . . . . . . . 13 1.4 Electronic correlation . . . . . . . . . . . . . . . 14 1.5 Orbital ordering . . . . . . . . . . . . . . . . . . 14 2 Density functional theory 17 2.1 The formulation . . . . . . . . . . . . . . . . . . 17 2.2 Approximate methods . . . . . . . . . . . . . . . . 19 2.3 The LDA+U method . . . . . . . . . .. . . . . . . . 21 3 Computational methods in electronic structure 23 3.1 Pseudopotential method . . . . . . . .. . . . . .. . 23 3.2 Augmented plane wave method . . . . . . . . . . .. . 25 3.3 Projector augmented wave method . . . . . . . .. . . 26 4 Miscellaneous theory 28 4.1 Method of integration . . . . . . . . . . . . . . . 28 4.2 Optimization . . . . . . . . . . . . . . . . . . . . 29 5 Studies of perovskite ruthenate CaRuO3 31 5.1 Introduction . . . . . . . . . . . . . . . . . . . . 31 5.2 Literature surveys . . . . . . . . . . . . . . . . 33 5.3 Computational details . . . . . . . . . . . . .. . . 39 5.4 GGA calculation . . . . . . . . . . . . . .. . . . . 41 5.5 GGA+U calculation . . . . . . . . . . .. . . . . . . 56 5.6 Spin-orbital interaction . . . . . . . . . . . . . . 85 5.7 Concluding remarks . . . . . . . . . . . . . . . . . 94 Appendix A: Vienna Ab-initio Simulation Package 95 Appendix B: Other plots 97 References 99

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