這分論文由兩個部分組成
在第一部分我們研究量子點接觸系統中電導在0.7平台的奇異現象. 原因可能是由於自旋軌道耦合. 空間均勻的自旋軌道耦合加上庫倫作用會打開自旋能隙.而空間不均勻的自旋軌道耦合會導致磁矩形成. 我們有半古典及量子力學的計算.
第二部分我們針對銅氧高溫超導發明了浮動鍵結模型理論, 提供一個統一的理論來解釋贗能隙及超導能隙,這個模型抓住了高溫超導的精髓並且可以給出合理的相圖, 參數是由第一原理計算而得.

This thesis is composed of two parts.
In part I, we investigate the 0.7 anomaly in the quantum point contact system. The origin of 0.7 G0 may be due to the Rashba spin-orbit interaction. A spatial uniform spin-orbit interaction together with Coulomb interaction
will open a spin gap, while a non-uniform spin-orbit interaction may lead to a moment formation. We have both semiclassical and quantum mechanical approaches.
In part II, we introduce a fluctuating bond model for cuprate high-temperature superconductivity, which provides a unified framework for both pseudogap and superconducting gap. This model captures the essence of cuprate conductivity
and leads to a reasonable phase diagram with the help of
ab initio simulation.

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jhsiao/mfgetgapcode7/getgap/BCS/ohgod/form/T/simple/period/gap/bvbcs/stnf
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the gap.update.dir. Therefore the effective coupling VBCS should be 4 times bagger
than what we input. Then Tc becomes the smae order as numerical result.