论文标题
异常的性质$ 4/13 $分数量子厅效应石墨烯
Nature of the anomalous $4/13$ fractional quantum Hall effect in graphene
论文作者
论文摘要
在基于石墨烯的材料中已经观察到了广泛的分数量子厅效应（FQHE）。某些观察到的部分是异常的，因为在常规GAAS系统中，在这些馏分上尚未建立FQHE。这样的部分是$ 4/13 $，最近在石墨烯中报告了不可压缩性[Kumar等人，Nat。通讯。 9，2776（2018）]。我们提出了$ 4/13 $的党派波功能，并表明它是描述库仑基层状态的可行候选人。使用有效的边缘理论，我们对状态的实验可测量特性做出了预测。
Extensive fractional quantum Hall effect (FQHE) has been observed in graphene-based materials. Some of the observed fractions are anomalous in that FQHE has not been established at these fractions in conventional GaAs systems. One such fraction is $4/13$, where incompressibility has recently been reported in graphene [Kumar et al., Nat. Comm. 9, 2776 (2018)]. We propose a partonic wave function at $4/13$ and show it to be a viable candidate to describe the Coulomb ground state. Using the effective edge theory, we make predictions for experimentally measurable properties of the state.
