臺灣博碩士論文加值系統

本文的主旨在探討高溫超導體的贋能隙性質，並引用了陳智泓教授
將贋能隙視為與非相對論性費米子耦合的規範波色子經由Stueckelberg
機制產生質量的結果。其中本文呈現了此模型於對稱破缺相中的規範
場等效作用量並計算出規範場的傳遞子，並進一步推廣此模型使得電
磁交互作用加入其中使得電磁場和與贋能隙生成相關的規範場之間的
等效耦合能被探討。最後本文嘗試於理論模型中加入與二維平面系統
垂直之不隨時空間變化的外加磁場，並討論此情形下規範場的行為且
將結果與同樣外加磁場之實驗數據對照進而得到贋能隙的大小是與外
加磁場無關的結論。
Keywords:

In this article one follows the model in which the origin of pseudogap is
a consequence of massive gauge bosons with the mass acquisition a result of
Stueckelberg mechanism. The effective gauge actions of this model is evaluated
as well as the gauge field propagators in the symmetry breaking phase
in which fermions are gapless and gapped. The article further generalizes
the initial model to include electromagnetic interactions and discusses the effective
interaction between the electromagnetic fields and the gauge bosons
that are responsible for pseudogap formation. Particularly the dynamics of
the gauge bosons in case of c-axis constant external magnetic field is evaluated
and compared with relevant experiments such that the conclusion of a
field-independent pseudogap is yielded.

口試委員會審定書……………………………………………………… i
Acknowledgements ………………………………………… iii
中文摘要………………………………………………………………………… v
Abstract………………………………………………………………… vii
Chapter 1 Introduction………………………………… 1
Chapter 2 Massive gauge bosons coupled with nonrelativistic fermions…… 3
Chapter 3 Gauge bosons under fermions with electromagnetic interaction… 15
Chapter 4 Applying c-axis constant magnetic field………………… 19
Chapter 5 Discussion………………………………………………………… 33
Chapter 6 Conclusion………………………………………………………… 37
Bibliography……………………………………………………………39

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