论文标题
一个非亚洲分数量子厅州，价格为$ 3/7 $填充的Landau级别
A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level
论文作者
论文摘要
我们考虑一个非亚伯候选人国家，即填充因子$ν= 3/7 $属于Parton家族的状态。我们发现，在第二个Landau水平（即在填充因子$ν= 2+3/7 $）中，该状态在能量上优于标准的Jain Rembosite-Ferrimion状态，并且还提供了对有限系统的对角化研究中发现的基态的很好的表示。这使我们预测\ emph {if}在第二个兰道级别以$ν= 3/7 $观察到了分数量子霍尔的效应，这种新的非亚伯利亚状态可能会描述。我们列举了可以验证该状态拓扑结构的实验可测量特性。
We consider a non-Abelian candidate state at filling factor $ν=3/7$ state belonging to the parton family. We find that, in the second Landau level of GaAs (i.e. at filling factor $ν=2+3/7$), this state is energetically superior to the standard Jain composite-fermion state and also provides a very good representation of the ground state found in exact diagonalization studies of finite systems. This leads us to predict that \emph{if} a fractional quantum Hall effect is observed at $ν=3/7$ in the second Landau level, it is likely to be described by this new non-Abelian state. We enumerate experimentally measurable properties that can verify the topological structure of this state.
