Liu, Yang = 軌道簡并性對強關聯系統的磁性的研究 / 劉陽. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (p. 49-51). / Abstracts in English and Chinese. / Liu, Yang = Gui dao jian bing xing dui qiang guan lian xi tong de ci xing de yan jiu / Liu Yang. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Phenomena of Magnetism --- p.1 / Chapter 1.1.1 --- Magnetic susceptibility and classification of magnetic phases --- p.2 / Chapter 1.1.2 --- Paramagnetism and Diamagnetism --- p.3 / Chapter 1.1.3 --- "Ferromagnetism, antiferromagnetism, and ferrimagnetism" --- p.3 / Chapter 1.2 --- Models describing the magnetic system --- p.5 / Chapter 1.2.1 --- The quantum mechanical origin of the interaction between magnetic moments --- p.5 / Chapter 1.2.2 --- Heisenberg model --- p.6 / Chapter 1.2.3 --- Hubbard model --- p.7 / Chapter 1.2.4 --- Background of ferromagnetism in Hubbard model --- p.8 / Chapter 1.3 --- Two-orbital Hubbard model --- p.9 / Chapter 2 --- Low energy effective theory and perturbation method --- p.14 / Chapter 2.1 --- Perturbation by diagrams --- p.14 / Chapter 2.2 --- Illustration of the basic idea: from Hubbard model to Heisenberg model --- p.15 / Chapter 2.2.1 --- Low energy space and intermediate basis --- p.16 / Chapter 2.2.2 --- Diagrams presenting the effective coupling --- p.17 / Chapter 2.2.3 --- Operator form --- p.18 / Chapter 2.3 --- Effective Hamiltonian of quarter filled two-orbital Hubbard model in the large-U limit --- p.19 / Chapter 2.3.1 --- Low energy space and intermediate basis --- p.19 / Chapter 2.3.2 --- Diagrams presenting the effective coupling --- p.20 / Chapter 2.3.3 --- Operator form --- p.23 / Chapter 2.4 --- Two-site problem of two-orbital Hubbard model --- p.25 / Chapter 2.4.1 --- Exact solution --- p.25 / Chapter 3 --- ED method and Numerical results --- p.29 / Chapter 3.1 --- ED method --- p.29 / Chapter 3.1.1 --- Construction of Hilbert space of the many-body model --- p.30 / Chapter 3.1.2 --- Lanczos iterative algorithm --- p.30 / Chapter 3.2 --- Spin structure factor --- p.31 / Chapter 3.2.1 --- Spin structure factor changes with various filling --- p.32 / Chapter 3.2.2 --- Spin structure factor changes with various J --- p.34 / Chapter 3.2.3 --- Spin structure factor changes with various U' --- p.34 / Chapter 3.3 --- Ground state spin magnetization --- p.36 / Chapter 4 --- Quantum phase transition in 1D Half-filled Asymmetric Hubbard model --- p.38 / Chapter 4.1 --- Introduction --- p.38 / Chapter 4.2 --- Spin stiffness --- p.41 / Chapter 4.3 --- Numerical result --- p.43 / Chapter 4.4 --- Summary --- p.46 / Chapter 5 --- Summary --- p.48 / Bibliography --- p.49 / Chapter A --- Conditions of spin and orbital rotational invariant --- p.52 / Chapter A.l --- condition of spin rotational invariant --- p.52 / Chapter A.2 --- conditions of orbital rotational invariant --- p.54 / Chapter B --- Detailed calculation of effective Hamiltonian of two-orbital Hubbard model --- p.57 / Chapter C --- Perturbation of the quartic equation --- p.89
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326781 |
| Date | January 2009 |
| Contributors | Liu, Yang., 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, 90 p. : 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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