Mak Hon-lung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2000. / Includes bibliographical references (leaves [105]-107). / Abstracts in English and Chinese. / Abstract --- p.ii / Acknowledgements --- p.iii / Contents --- p.iv / List of Figures --- p.vii / List of Tables --- p.x / Chapter Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- The origin of Heisenberg model --- p.1 / Chapter 1.2 --- High temperature superconductivity --- p.3 / Chapter 1.3 --- This project --- p.6 / Chapter Chapter 2. --- Studies of spin wave theory --- p.7 / Chapter 2.1 --- Introduction --- p.7 / Chapter 2.2 --- The uniform antiferromagnetic Heisenberg Model --- p.9 / Chapter 2.2.1 --- Linearization --- p.11 / Chapter 2.2.2 --- Quadratic equation --- p.15 / Chapter 2.2.3 --- Quadratic equation with Constraint --- p.20 / Chapter 2.2.4 --- Other results --- p.24 / Chapter 2.3 --- The anisotropic Heisenberg model --- p.29 / Chapter 2.3.1 --- The uniaxial model --- p.29 / Chapter 2.3.2 --- The XY Ferromagnetic model --- p.31 / Chapter Chapter 3. --- Theoretical approach --- p.35 / Chapter 3.1 --- Classical ground state --- p.35 / Chapter 3.2 --- Quantum fluctuation --- p.37 / Chapter 3.2.1 --- Linear combination of operators --- p.42 / Chapter 3.3 --- Calculation of physical quantities --- p.44 / Chapter 3.3.1 --- Zero mode problem --- p.48 / Chapter Chapter 4. --- Results of unfrustrated systems --- p.52 / Chapter 4.1 --- Introduction --- p.52 / Chapter 4.2 --- Uniform system --- p.52 / Chapter 4.3 --- Missing bond case --- p.55 / Chapter 4.4 --- Vacancy case --- p.58 / Chapter 4.5 --- Ferromagnetic impurity case --- p.61 / Chapter 4.6 --- Antiferromagnetic impurity case --- p.65 / Chapter 4.7 --- Abnormal antiferromagnetic bond case --- p.68 / Chapter Chapter 5. --- Ferromagnetic bond case --- p.71 / Chapter 5.1 --- Origin of ferromagnetic bond --- p.71 / Chapter 5.2 --- Numerical results --- p.72 / Chapter 5.2.1 --- The classical results --- p.72 / Chapter 5.2.2 --- Quantum corrections --- p.75 / Chapter 5.3 --- Results of other schemes --- p.76 / Chapter 5.3.1 --- Spin wave approach --- p.76 / Chapter 5.3.2 --- Other approaches --- p.77 / Chapter Chapter 6. --- The transmittance pattern in a necklace like system --- p.80 / Chapter 6.1 --- Introduction --- p.80 / Chapter 6.2 --- The model --- p.81 / Chapter 6.3 --- Ring configuration --- p.82 / Chapter 6.4 --- Chain configuration --- p.86 / Chapter 6.5 --- The transmittance pattern --- p.87 / Chapter 6.5.1 --- Constant and varying flux --- p.89 / Chapter 6.5.2 --- Random flux --- p.91 / Chapter 6.5.3 --- Constant impurity --- p.93 / Chapter 6.5.4 --- Some random effects --- p.96 / Chapter 6.6 --- Summary --- p.98 / Chapter 6.7 --- "Appendix, Derivation of basic equations " --- p.100 / Chapter Chapter 7. --- Conclusion --- p.103 / Bibliography --- p.105
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323199 |
| Date | January 2000 |
| Contributors | Mak, Hon-lung., 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, xi, 107 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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