Graß Tobias, Juliá-Díaz Bruno, Baldelli Niccolò, Bhattacharya Utso, Lewenstein Maciej
ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels (Barcelona) 08860, Spain.
Departament de Física Quàntica i Astrofísica, Facultat de Física, Universitat de Barcelona, Barcelona 08028, Spain.
Phys Rev Lett. 2020 Sep 25;125(13):136801. doi: 10.1103/PhysRevLett.125.136801.
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.
分数量子霍尔液体的基本激发是准粒子或准空穴，它们既不是玻色子也不是费米子，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，这些杂质粒子通过与液体的排斥相互作用与准空穴结合。我们表明，杂质的角动量由角动量的分数“量子”的倍数给出，并且可以直接从杂质密度中观察到。在一个有几个与准空穴结合的杂质的系统中，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。这种插值由任意子的分数统计参数表征，该参数通常通过它们的编织行为来定义。
