Wong Chung Ki. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 93-94). / Text in English; abstracts in English and Chinese. / Wong Chung Ki. / Abstract --- p.i / Acknowledgement --- p.iii / Contents --- p.iv / List of Figures --- p.viii / List of Tables --- p.xii / Chapter Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- Motivation --- p.1 / Chapter 1.2 --- Double exchange model --- p.3 / Chapter 1.3 --- This project --- p.5 / Chapter Chapter 2. --- The generalized double exchange model --- p.6 / Chapter 2.1 --- Assumptions of the model --- p.6 / Chapter 2.2 --- Transfer process of the mobile electrons --- p.7 / Chapter 2.3 --- Double exchange model --- p.9 / Chapter 2.4 --- The generalized double exchange model --- p.10 / Chapter 2.5 --- Previous results on the model --- p.13 / Chapter 2.5.1 --- Solution for two localized spins --- p.13 / Chapter 2.5.2 --- Ground state configuration for one doping electron and the electron concentration at half fill --- p.13 / Chapter 2.5.3 --- The planar spiral state and the canted ferromagnetic state --- p.14 / Chapter Chapter 3. --- Ground state calculations --- p.16 / Chapter 3.1 --- Minimization of ground state energy --- p.17 / Chapter 3.2 --- Energy and spin configuration --- p.18 / Chapter 3.3 --- Occupation number of mobile electrons --- p.19 / Chapter 3.4 --- Rotated occupation number of mobile electrons --- p.19 / Chapter Chapter 4. --- One-dimensional ground state results --- p.21 / Chapter 4.1 --- Zero superexchange coupling --- p.21 / Chapter 4.1.1 --- Total energy of the system --- p.21 / Chapter 4.1.2 --- Spin configuration and nearest neighbor spin-spin correlation --- p.23 / Chapter 4.1.3 --- Occupation number --- p.29 / Chapter 4.2 --- Antiferromagnetic superexchange coupling --- p.34 / Chapter 4.2.1 --- Total energy of the system --- p.35 / Chapter 4.2.2 --- Spin configuration and nearest neighbor spin-spin correlation --- p.36 / Chapter 4.2.3 --- Occupation number --- p.39 / Chapter 4.3 --- Discussions on the one-dimensional results --- p.43 / Chapter Chapter 5. --- Two-dimensional ground state results --- p.46 / Chapter 5.1 --- Zero superexchange coupling --- p.46 / Chapter 5.1.1 --- Total energy of the system --- p.46 / Chapter 5.1.2 --- Localized spin configuration --- p.47 / Chapter 5.1.3 --- Occupation number --- p.51 / Chapter 5.2 --- Nonzero superexchange coupling --- p.54 / Chapter 5.2.1 --- Total energy of the system --- p.54 / Chapter 5.2.2 --- Spin configuration --- p.54 / Chapter 5.2.3 --- Occupation number --- p.57 / Chapter 5.3 --- Discussions --- p.59 / Chapter Chapter 6. --- Finite temperature calculations on the model --- p.62 / Chapter 6.1 --- Quantum Monte Carlo simulation --- p.62 / Chapter 6.2 --- Heat capacity and magnetic susceptibility --- p.63 / Chapter 6.3 --- Localized spin-spin correlation --- p.64 / Chapter Chapter 7. --- Results at finite temperature --- p.65 / Chapter 7.1 --- Two-dimensional results without superexchange interaction --- p.65 / Chapter 7.1.1 --- Fourier transform of the spin-spin correlation --- p.65 / Chapter 7.1.2 --- Occupation number --- p.68 / Chapter 7.2 --- Two-dimensional results with nonzero superexchange interaction --- p.73 / Chapter 7.2.1 --- Fourier transform of the spin-spin correlation --- p.73 / Chapter 7.2.2 --- Occupation number --- p.74 / Chapter 7.3 --- Three-dimensional results with anisotropic exchange interaction --- p.77 / Chapter 7.3.1 --- Fourier transform of the spin-spin correlation --- p.77 / Chapter 7.3.2 --- Occupation number --- p.79 / Chapter 7.3.3 --- Magnetization --- p.81 / Chapter 7.3.4 --- Heat capacity --- p.81 / Chapter 7.3.5 --- Magnetic susceptibility --- p.82 / Chapter 7.3.6 --- Discussions --- p.83 / Chapter Chapter 8. --- Conclusions --- p.85 / Chapter Appendix A. --- Details on Euler rotation of the localized spin --- p.87 / Chapter Appendix B. --- Details on the calculation of the occupation number --- p.89 / Chapter B.1 --- Occupation number --- p.89 / Chapter B.2 --- Rotated occupation number --- p.90 / Chapter Appendix C. --- Fourier transform of the spin-spin correlation at T≠0 --- p.92 / Bibliography
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322740 |
| Date | January 1999 |
| Contributors | Wong, Chung Ki., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, xii, 94 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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