Lee Kwok San = 二維海森堡模型的熱力學性質之數値硏究 / 李國姗. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 106-108). / Text in English; abstracts in English and Chinese. / Lee Kwok San = Er wei hai sen bao mo xing de re li xue xing zhi zhi shu zhi yan jiu / Li Guoshan. / Abstract --- p.i / Acknowledgement --- p.iii / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- History of magnetism --- p.1 / Chapter 1.2 --- History of Heisenberg model --- p.2 / Chapter 1.3 --- Heisenberg model and high-Tc superconductors --- p.6 / Chapter 1.4 --- Organization of thesis --- p.8 / Chapter 2 --- Methodology --- p.10 / Chapter 2.1 --- Introduction --- p.10 / Chapter 2.2 --- Exact diagonalization --- p.11 / Chapter 2.2.1 --- Coding with only total Sz conservation --- p.11 / Chapter 2.2.2 --- Coding by using translational symmetry --- p.12 / Chapter 2.2.3 --- Coding with H acting on spin configuration --- p.17 / Chapter 2.2.4 --- Coding on finding eigenvalues and eigenvectors --- p.20 / Chapter 2.3 --- Coding on calculating dynamic properties --- p.20 / Chapter 2.3.1 --- Coding on calculating thermal properties --- p.20 / Chapter 2.3.2 --- Coding on calculating other thermal property --- p.21 / Chapter 3 --- Finite temperature calculations on unfrustrated spin systems --- p.30 / Chapter 3.1 --- Introduction --- p.30 / Chapter 3.2 --- Finite temperature calculations --- p.33 / Chapter 3.2.1 --- Energy spectrum E(k) --- p.33 / Chapter 3.2.2 --- Internal energy (E) --- p.39 / Chapter 3.2.3 --- Heat capacity Cv --- p.42 / Chapter 3.2.4 --- Uniform susceptibility x --- p.45 / Chapter 3.2.5 --- Staggered magnetization mz+ --- p.47 / Chapter 3.3 --- Linear Spin Wave Theory --- p.48 / Chapter 3.3.1 --- Linear Spin Wave Theory at zero temperature --- p.48 / Chapter 3.3.2 --- Linear Spin Wave Theory at finite temperature --- p.54 / Chapter 3.4 --- Phase Transition --- p.57 / Chapter 4 --- Finite temperature calculations on frustrated systems --- p.62 / Chapter 4.1 --- Introduction --- p.62 / Chapter 4.2 --- Finite temperature calculations --- p.65 / Chapter 4.2.1 --- Energy spectrum E(k) --- p.65 / Chapter 4.2.2 --- Internal energy (E) --- p.68 / Chapter 4.2.3 --- Heat capacity Cv --- p.69 / Chapter 4.2.4 --- Uniform susceptibility x --- p.71 / Chapter 4.2.5 --- "Fourier transform of susceptibility S(qx,qy)" --- p.72 / Chapter 4.3 --- Linear Spin Wave Theory --- p.73 / Chapter 5 --- Finite Size Scaling --- p.78 / Chapter 5.1 --- Introduction --- p.78 / Chapter 5.2 --- Infinite unfrustrated system --- p.79 / Chapter 5.2.1 --- Ground state energy E0 --- p.79 / Chapter 5.2.2 --- Internal Energy (E) --- p.80 / Chapter 5.2.3 --- Staggered magnetization mz+ --- p.81 / Chapter 5.3 --- Infinite frustrated system --- p.83 / Chapter 5.3.1 --- Ground state energy E0 --- p.84 / Chapter 6 --- Comparisons between unfrustrated system and frustrated system --- p.87 / Chapter 6.1 --- Energy spectrum E(k) --- p.88 / Chapter 6.2 --- Internal energy (E) --- p.91 / Chapter 6.3 --- Heat capacity Cv --- p.92 / Chapter 6.4 --- Uniform susceptibility x --- p.93 / Chapter 7 --- Spin Lattice Relaxation l/T1 --- p.94 / Chapter 7.1 --- Introduction --- p.94 / Chapter 7.2 --- Spin temperature --- p.95 / Chapter 7.3 --- Experimental setup and its principle --- p.97 / Chapter 7.4 --- Numerical calculations --- p.102 / Chapter 8 --- Conclusion --- p.104 / Bibliography --- p.106 / Chapter A --- Method of moments --- p.109
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323530 |
| Date | January 2001 |
| Contributors | Lee, Kwok San., 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, xiii, 110 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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