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Superconducting instabilities in the extended Hubbard model: studies of the BCS equations = 廣義哈伯德模型的超導性 : BCS 方程之硏究. / 廣義哈伯德模型的超導性 / Superconducting instabilities in the extended Hubbard model: studies of the BCS equations = Guang yi ha bo de mo xing de chao dao xing : BCS fang cheng zhi yan jiu. / Guang yi ha bo de mo xing de chao dao xing

Lau Wai Chuen. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references (leaves 93-94). / Lau Wai Chuen. / Contents --- p.ii / List of Figures --- p.iv / List of Tables --- p.vi / Abstract --- p.ix / Acknowledgement --- p.x / Chapter Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- Superconductivity --- p.1 / Chapter 1.2 --- The Hubbard model and the Extended Hubbard model --- p.3 / Chapter 1.3 --- Gap Equation --- p.6 / Chapter 1.3.1 --- One-dimensional solutions --- p.11 / Chapter 1.3.2 --- Two-dimensional solutions --- p.12 / Chapter Chapter 2. --- Solving BCS equation --- p.15 / Chapter 2.1 --- Zero value of the denominator of the BCS equations --- p.15 / Chapter 2.2 --- Discontinuity of the BCS equations --- p.16 / Chapter Chapter 3. --- Results of BCS equations for finite size clusters --- p.34 / Chapter 3.1 --- Method used to solve BCS equations --- p.34 / Chapter 3.2 --- Results for the one dimensional and two dimensional lattices --- p.34 / Chapter 3.2.1 --- Extended S-wave solution --- p.35 / Chapter 3.2.2 --- P-wave and D-wave solutions --- p.36 / Chapter Chapter 4. --- Results of BCS equations compare with exact solutions --- p.69 / Chapter 4.1 --- "An exact solution of D-wave, Ne=2" --- p.69 / Chapter 4.2 --- Comparison of the ground state energy with the results calculated by exact diagonalization --- p.73 / Chapter Chapter 5. --- The Phase Diagram of the superconducting state --- p.78 / Chapter Chapter 6. --- Conclusion --- p.91 / Bibliography --- p.93

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_321956
Date January 1997
ContributorsLau, Wai Chuen., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, x, 94 leaves : ill. ; 30 cm.
RightsUse 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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