Two-dimensional Hubbard model at low-electron density 低電子濃度領域における2次元ハバード・モデル
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Bibliographic Information
- Title
-
Two-dimensional Hubbard model at low-electron density
- Other Title
-
低電子濃度領域における2次元ハバード・モデル
- Author
-
成清, 修
- Author(Another name)
-
ナリキヨ, オサム
- University
-
東京大学
- Types of degree
-
博士 (理学)
- Grant ID
-
甲第9343号
- Degree year
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1992-03-30
Note and Description
博士論文
Table of Contents
- CONTENTS / (0004.jp2)
- 1.Introduction / p1 (0005.jp2)
- 2.Fermi Liquid and Luttinger Liquid / p4 (0007.jp2)
- 3.Anderson's Argument / p10 (0010.jp2)
- 4.Perturbative Analysis / p16 (0013.jp2)
- 4.1.Model / p16 (0013.jp2)
- 4.2.Particle-Particle Correlation Function / p17 (0013.jp2)
- 4.3.Particle-Hole Correlation Function / p20 (0015.jp2)
- 4.4.Second Order Perturbation in U / p21 (0015.jp2)
- 4.5.Third Order Perturbation in U / p24 (0017.jp2)
- 5.t-matrix Approximation / p26 (0018.jp2)
- 5.1.Poles and Analyticity of t-matrix / p26 (0018.jp2)
- 5.2.Phase Angle / p28 (0019.jp2)
- 5.3.Electron Self-energy / p30 (0020.jp2)
- 5.4.Imaginary Part of Self-energy / p31 (0020.jp2)
- 5.5.Real Part of Self-energy / p33 (0021.jp2)
- 5.6.Landau Interaction Function / p35 (0022.jp2)
- 5.7.Upper Hubbard Band and Luttinger Fermi Surface / p36 (0023.jp2)
- 5.8.Cut-off Momentum / p39 (0024.jp2)
- 5.9.Shift in Chemical Potential / p40 (0025.jp2)
- 5.10.Anisotropy in Band / p41 (0025.jp2)
- 6.Self-consistent t-matrix Approximation / p44 (0027.jp2)
- 7.Case of Attractive Interaction / p48 (0029.jp2)
- 8.Summary and Discussions / p51 (0030.jp2)
- Appendixes / p57 (0033.jp2)
- A.Particle-Particle Correlation Function in 2D / p57 (0033.jp2)
- B.Particle-Hole Correlation Function in 2D / p58 (0034.jp2)
- C.Equivalence of δsc(Q,ω) and δ(Q,ω) / p59 (0034.jp2)
- D.Thermodynamic Potential in t-matrix Approximation / p61 (0035.jp2)
- E.Hubbard Approximation / p62 (0036.jp2)
- F.Beyond t-matrix Approximation / p64 (0037.jp2)
- F.1.Particle-Hole Channel / p64 (0037.jp2)
- F.2.Particle-Particle Channel / p64 (0037.jp2)
- F.3.Landau Theory vs Kohn-Luttinger Mechanism / p65 (0037.jp2)
- References / p67 (0038.jp2)
- Figure Captions / p70 (0040.jp2)
- Figures / p72 (0041.jp2)