Dynamics of anyon clusters in fractional quantum Hall fluids

The authors explore here the interesting ``chemistry'' of anyons -- collective excitations emerging from a large amount of correlated electrons -- in strongly interacting fractional quantum Hall fluids. Anyons can form clusters (``molecules'') because of the effective anyon-anyon interaction induced by tunable electron-electron interactions. Laughlin anyons form hydrogen molecule like bound states with short-range electron interactions, potentially explaining the mystery of the observed 2$e$/3 effective charge at extremely low temperatures. In the non-Abelian Moore--Read phase, fusion channel dependent effective interactions lift the ``1/$\ensuremath{\psi}$'' degeneracy, enabling the possible energetic control of non-Abelian anyons. The authors also propose STM as a useful experimental tool for detecting the fingerprint of various configurations of anyon clusters.