Yu Min = 強关联电子系統中相分离的研究 / 俞敏. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 90-91). / Text in English; abstracts in English and Chinese. / Yu Min = Qiang guan lian dian zi xi tong zhong xiang fen li de yan jiu / Yu Min. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Motivation --- p.1 / Chapter 1.2 --- The Hubbard Model --- p.3 / Chapter 1.3 --- The extended Hubbard Model --- p.4 / Chapter 1.4 --- This project --- p.5 / Chapter 2 --- Methodology --- p.6 / Chapter 2.1 --- Hartree-Fock approximation --- p.6 / Chapter 2.2 --- The unrestricted Hartree-Fock method --- p.7 / Chapter 2.3 --- The restricted Hartree-Fock method --- p.10 / Chapter 2.3.1 --- "Paramagnetic phase, wave vector q = (0,0), r = 1" --- p.13 / Chapter 2.3.2 --- "Ferromagnetic phase, wave vector q = (0,0), r ≠ 1" --- p.13 / Chapter 2.3.3 --- "Wave vector g =(π，π),m ≠ 0; r = 1 antiferromagnetic phase; r≠1 ferrimagnetic phase" --- p.14 / Chapter 2.3.4 --- "Charge-density wave(CDW), wave vector q = (π, π), r≠ 1, m1≠m2" --- p.17 / Chapter 2.3.5 --- "Charge-density wave, wave vector q = (±4, ±4), r ≠1, 1,m1≠m2" --- p.19 / Chapter 2.4 --- Finite size effect in the restricted Hartree-Fock method --- p.23 / Chapter 3 --- Study of the two-dimensional Hubbard model --- p.26 / Chapter 3.1 --- Phase separation in the two-dimensional Hubbard model --- p.26 / Chapter 3.2 --- The existence of stripe phase depends on three aspects --- p.31 / Chapter 3.2.1 --- Dependence of the geometry of the lattice --- p.31 / Chapter 3.2.2 --- Dependence of the Coulomb interaction U --- p.33 / Chapter 3.2.3 --- Dependence of band filling n --- p.35 / Chapter 3.3 --- Fourier transformation of the charge distribution --- p.36 / Chapter 4 --- Study of the two-dimensional asymmetric Hubbard model --- p.40 / Chapter 4.1 --- Phase separation in the two-dimensional asymmetric Hubbard model --- p.41 / Chapter 4.2 --- The influence of t↑ on the existence of stripe phase --- p.42 / Chapter 4.3 --- Fourier transformation of the charge distribution --- p.44 / Chapter 5 --- Study of the one-dimensional Hubbard model --- p.46 / Chapter 5.1 --- The influence of U on the charge distribution --- p.46 / Chapter 5.2 --- The influence of t↑ on the charge distribution --- p.48 / Chapter 5.3 --- Conclusion --- p.50 / Chapter 6 --- Study of the extended Hubbard Model --- p.51 / Chapter 6.1 --- The influence of changing parameter V on the charge distribution --- p.52 / Chapter 6.2 --- The competing of parameter and parameter V on the charge distribution --- p.53 / Chapter 6.3 --- Conclusion --- p.59 / Chapter 7 --- Conclusions --- p.60 / Chapter A --- Program for the unrestricted Hartree-Fock method --- p.61 / Chapter B --- Program for the restricted Hartree-Fock method --- p.73
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324839 |
| Date | January 2004 |
| Contributors | Yu, Min., 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, 91 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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