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低维耦合系统的Peierls相变和光吸收谱

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目录

文摘

英文文摘

Chapter 1 Introduction

1.1 Low-Dimensional Peierls Systems

1.2 Analytic Nonadiabatic Approach Method

1.3 Purpose and Sructure of This Report

Bibliography

Chapter 2 Nonadiabatic Approach to SSH Model

2.1 Introduction

2.2 Model

2.3 Unitary Transformations

2.4 Effective Hamiltonian

2.5 The Green′s Function Theory

2.6 The Dimerization Gap of SSH Model

2.7 The Density-of-States

Bibliography

Chapter 3 Optical Absorption in Polyacetlene

3.1 Optical Absorption coefficient

3.2 Effect of the Quantum Lattice Fluctuations

3.3 Effectiveness of the Method

3.4 Conclusions

Bibliography

Chapter 4 Theoretical Study of a Spin-Peierls Model

4.1 Introduction

4.2 The Spin-Peierls Model

4.3 Theoretical Analysis

4.4 Aanlytic Approach

Bibliography

Chapter 5 Phase Diagram and Correlation Function of the Spin-Peierls System

5.1 Introduction

5.2 Phase Diagram and Dimerization Gap

5.3 The Density-of-States

5.4 The Spin Correlation Functions

5.5 Conclusions

Bibliography

Chapter 6 Bound State in (VO)2P2O7 Compound

6.1 Introduction

6.2 Experiment Investigation

6.3 The Hamiltonian

6.4 Theoretic Method and Results

6.5 Conclusions

Bibliography

Chapter 7 Optical-Absorption Spectra of Halogen-Bridged Mixed-Valence Tansition-Metal Complexes

7.1 Introduction

7.2 The 1-D Extended Peierls-Hubbard Model

7.3 Theoretical Analysis

7.4 Optical Absorption

7.5 Conclusions

Bibliography

Acknowledgments

Publications During The Post-Doctoral Period

Publications During The Doctoral Period

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摘要

低维关联系统的光电激发和在非绝热条件下的物理特性是多体理论研究的难点问题.该文从系统的微观模型出发,通过正则变换选取电声子和自旋声子相互作用表象,采用格林函数微扰理论,研究非绝热状态下电声子耦合系统和自旋声子耦合系统的相结构和基态稳定性等物理性质.同时,激于系统的激发电子跃迁流算符,采用推迟格林函数表述,解析地计算系统的光电激发和吸收谱.对导电聚合物的SSH模型、反铁磁spin-Peierls量子自旋链模型和金属络合物材料的扩展Hubbard模型进行了研究,研究计算了(VO)<,2>P<,2>O<,7>低能激发的单粒子激发谱和束缚态激发的束缚能.

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