石墨烯分数量子霍尔点接触中的通用手性卢廷格液体行为

Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact

石墨烯分数量子霍尔点接触中的通用手性卢廷格液体行为

▲ 作者：LIAM A. COHEN, NOAH L. SAMUELSON, TAIGE WANG, TAKASHI TANIGUCHI, KENJI WATANABE, MICHAEL P. ZALETEL, AND ANDREA F. YOUNG

▲ 链接：https://www.science.org/doi/full/10.1126/science.adf9728

▲ 摘要：

一维电子系统以一种不寻常的方式运行，这种方式被卢廷格（Luttinger）液体理论所描述。研究一维系统的一种方法是关注二维分数量子霍尔（FQH）态的边界，这是手性边缘模式的本垒。边缘模式形成手性卢廷格液体，可以通过将电子隧穿到其中来研究。

为此，研究者在石墨烯中填充1/3的FQH态和填充1的整数量子霍尔态之间创建了一种称为量子点接触的收缩。通过量子点接触的电导表现出手性卢廷格液体的标度规律。

▲ Abstract：

One-dimensional systems of electrons behave in an unusual way that is described by the so-called Luttinger liquid theory. One way to study a one-dimensional system is to focus on the boundary of a two-dimensional fractional quantum Hall (FQH) state, which is home to chiral edge modes. The edge modes form chiral Luttinger liquids, which can be studied by tunneling electrons into them. To that end, Cohen et al. created a constriction known as a quantum point contact between an FQH state with 1/3 filling and an integer quantum Hall state with a filling of 1 in graphene. The conductance across the quantum point contact exhibited scaling laws characteristic of a chiral Luttinger liquid.