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The elementary excitations of a fractional quantum Hall liquid arequasiparticles or quasiholes which are neither bosons nor fermions, butso-called anyons. Here we study impurity particles immersed in a quantum Hallliquid which 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 afractional "quantum" of angular momentum, and can directly be observed from theimpurity density. In a system with several impurities bound to quasiholes,their total angular momentum interpolates between the values for free fermionsand for free bosons. This interpolation is characterized by the fractionalstatistical parameter of the anyons which is typically defined via theirbraiding behavior.

Fractional angular momentum and anyon statistics of impurities in Laughlin liquids