Microscopic theory of the fractional quantum Hall effect
Microscopic theory of the fractional quantum Hall effect
复制标题
分数量子霍尔效应的微观理论
DOI：
10.1080/00018739200101483
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发表时间：
1992
影响因子：
--
通讯作者：
J. Jain
中科院分区：
文献类型：
--
作者：
J. Jain
本文综述了分数量子霍尔效应的复合费米子理论。这个理论提供了一个微观描述的低能量状态的强关联电子在弱相互作用的复合费米子，其中一个复合费米子是一个电子绑定到一个偶数的涡旋。在最简单的情况下，复合费米子的量子霍尔效应可以被解释为整数量子霍尔效应的表现。基于这些思想，简单的Jastrow-Slater试探波函数被写入不可压缩的Escheriche态以及它们的低能量激发。已经进行了大量的数值工作，以确认其有效性。特别是，对于少数粒子系统，它们与真实库仑态基本上100%重叠。理论的各种结果与实验非常吻合。值得注意的是，它为分数和整数量子霍尔效应提供了一个统一的框架，与实验结果一致。
Abstract This is a review of the composite fermion theory of the fractional quantum Hall effect (FQHE). This theory provides a microscopic description of the low energy states of the strongly correlated electrons in the FQHE regime in terms of weakly interacting composite fermions, where a composite fermion is an electron bound to an even number of vortices. In the simplest cases, the FQHE can be construed as a manifestation of the integer quantum Hall effect of the composite fermions. Based on these ideas, simple Jastrow-Slater trial wavefunctions are written for the incompressible FQHE states as well as their low energy excitations. Extensive numerical work has been performed to confirm their validity. In particular, these have essentially 100% overlap with the true Coulomb states for few particle systems. Various consequences of the theory are in excellent agreement with experiments. Notably, it provides a unified framework for the fractional and integer quantum Hall effects, consistent with the experi...