“…1). The localized orbits around a single antidot [1,2,17,18,19,20,21,22,23,24,25,26] and around an antidot molecule [27,28,29] have been studied in the integer quantum Hall regime by measuring Aharonov-Bohm oscillations of conductance, which occur when the localized orbits couple to extended edge channels along the boundary of the 2DEG. The antidot has also been investigated in the fractional quantum Hall regime experimentally [4,11,30,31,32,33,34,35] and theoretically [36,37,38,39,40,41] to understand quasiparticle tunneling, charge and statistics, composite fermions, chiral Luttinger liquids, and non-Abelian statistics of the fractional quantum Hall 5/2 state.…”