Parton construction of a wave function in the anti-Pfaffian phase
Parton construction of a wave function in the anti-Pfaffian phase
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DOI：
10.1103/physrevb.98.035127
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发表时间：
2018-03
影响因子：
3.7
通讯作者：
Ajit C. Balram;M. Barkeshli;M. Rudner
中科院分区：
文献类型：
--
作者：
Ajit C. Balram;M. Barkeshli;M. Rudner
在这项工作中，我们提出了一个部分子态作为候选态来描述半填充朗道能级中的分数量子霍尔效应。该部分子态的波函数为\Phi_{1}^3[\Phi_{2}^{*}]^{2}\sim\Psi^{2}_{2/3}/\Phi_{1}$，在球面几何中，它出现在反法夫通量处。它与一般半导体的反法夫态和第二朗道能级库仑态有很好的重叠性。通过计算纠缠谱，我们发现该态与反Pfaffian态处于同一位相。这种部分子态的一个主要优点是它的波函数可以用来计算大系统，这使得它易于进行变分计算。
In this work we propose a parton state as a candidate state to describe the fractional quantum Hall effect in the half-filled Landau level. The wave function for this parton state is $\mathcal{P}_{\rm LLL} \Phi_{1}^3[\Phi_{2}^{*}]^{2}\sim\Psi^{2}_{2/3}/\Phi_{1}$ and in the spherical geometry it occurs at the anti-Pfaffian flux. It has a good overlap with the anti-Pfaffian state and with the second Landau level Coulomb state of ordinary semi-conductors such as GaAs. By calculating the entanglement spectrum we show that this state lies in the same phase as the anti-Pfaffian state. A major advantage of this parton state is that its wave function can be evaluated for large systems, which makes it amenable to variational calculations.