Thirty Years of Composite Fermions and Beyond

Thirty Years of Composite Fermions and Beyond
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DOI:
10.1142/11751
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发表时间:
2020-01
期刊:
Fractional Quantum Hall Effects
影响因子:
--
通讯作者:
Steven H. Simon
Steven H. Simon
中科院分区:
其他
文献类型:
--
作者:
Steven H. Simon

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本章出现在 B. I. Halperin 和 J. K. Jain 编辑的《分数量子霍尔效应:新发展》(World Scientific,2020 年)中。本章首先介绍复合费米子,然后回顾最近研究的三个方向。它报告了理论计算,对两组现象(即自旋极化跃迁和晶体的相图)进行了详细的定量预测。接下来是分数量子霍尔效应的 Kohn-Sham 密度泛函理论。本章最后介绍了分数量子霍尔效应的部分子理论在某些微妙状态中的最新应用。
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.