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Study of orbital degeneracy effects on magnetic properties in strongly correlated systems. / 軌道簡并性對強關聯系統的磁性的研究 / Study of orbital degeneracy effects on magnetic properties in strongly correlated systems. / Gui dao jian bing xing dui qiang guan lian xi tong de ci xing de yan jiu

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

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326781
Date January 2009
ContributorsLiu, Yang., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, xii, 90 p. : 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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