The elementary excitations of a fractional quantum Hall liquid are quasiparticles or quasiholes that are neither bosons nor fermions, but are so-called anyons. Here we study impurity particles immersed in a quantum Hall liquid that bind to the quasiholes via repulsive interactions with the liquid. We show that the angular momentum of an impurity is given by the multiple of a fractional “quantum” of angular momentum, and can directly be observed from the impurity density. In a system with several impurities bound to quasiholes, their total angular momentum interpolates between the values for free fermions and for free bosons. This interpolation is characterized by the fractional statistical parameter of the anyons, which is typically defined via their braiding behavior.

中文翻译：

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拉夫林液体中的分数角动量和杂质的Anyon统计

分数量子霍尔液体的基本激发是既不是玻色子也不是费米子的准粒子或准孔，而是所谓的任意子。在这里，我们研究了浸入量子霍尔液体中的杂质粒子，该杂质粒子通过与液体的排斥相互作用与准孔结合。我们表明，杂质的角动量由角动量的分数“量子”的倍数给出，可以直接从杂质密度观察到。在具有与准孔结合的多个杂质的系统中，它们的总角动量在自由费米子和自由玻色子的值之间插值。这种插值的特点是任意子的分数统计参数，通常通过其编织行为来定义。