论文标题
三十年的复合费米斯及以后
Thirty Years of Composite Fermions and Beyond
论文作者
论文摘要
本章出现在B. I. Halperin和J. K. Jain(世界科学,2020年)编辑的“分数量子厅效应:新发展”中。本章以复合费米子的入门开始,然后回顾了最近提出的三个方向。它报告了关于两组现象的详细定量预测的理论计算,即自旋极化过渡和晶体的相图。接下来是分数量子霍尔效应的Kohn-Sham密度功能理论。本章以部分量子霍尔效应对某些精致状态的Parton理论的最新应用结束。
This chapter appears in "Fractional Quantum Hall Effects: New Development," edited by B. I. Halperin and J. K. Jain (World Scientific, 2020). The chapter begins with a primer on composite fermions, and then reviews three directions that have recently been pursued. It reports on theoretical calculations making detailed quantitative predictions for two sets of phenomena, namely spin polarization transitions and the phase diagram of the crystal. This is followed by the Kohn-Sham density functional theory of the fractional quantum Hall effect. The chapter concludes with recent applications of the parton theory of the fractional quantum Hall effect to certain delicate states.