Fractional quantum Hall hierarchy and the second Landau level
Fractional quantum Hall hierarchy and the second Landau level
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DOI：
10.1103/physrevb.78.125323
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发表时间：
2007-11
影响因子：
3.7
通讯作者：
Parsa Bonderson;J. Slingerland
中科院分区：
文献类型：
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作者：
Parsa Bonderson;J. Slingerland
我们将分数量子霍尔层次结构图推广到适用于任意的、可能非阿贝尔的分数量子霍尔态。将其应用于 nu = 5/2 Moore-Read 态，我们构造了新的显式试验波函数来描述第二朗道能级中的分数量子霍尔效应。由此产生的状态层次结构再现了第二朗道能级中所有观察到的霍尔电导平台的填充分数，其特征在于基态中的电子配对和包括伊辛型非阿贝尔任意子的激发光谱。我们将其视为一个统一的图景，其中 p 波配对表征了第二朗道能级中的分数量子霍尔效应。
We generalize the fractional quantum Hall hierarchy picture to apply to arbitrary, possibly non-Abelian, fractional quantum Hall states. Applying this to the nu = 5/2 Moore-Read state, we construct new explicit trial wavefunctions to describe the fractional quantum Hall effect in the second Landau level. The resulting hierarchy of states, which reproduces the filling fractions of all observed Hall conductance plateaus in the second Landau level, is characterized by electron pairing in the ground state and an excitation spectrum that includes non-Abelian anyons of the Ising type. We propose this as a unifying picture in which p-wave pairing characterizes the fractional quantum Hall effect in the second Landau level.