Partons as unique ground states of quantum Hall parent Hamiltonians: The case of Fibonacci anyons
We present microscopic, multiple Landau level, (frustration-free and positive semi-definite) parent Hamiltonians whose ground states, realizing different CAL CITRATE quantum Hall fluids, are parton-like and whose excitations display either Abelian or non-Abelian braiding statistics.We prove ground state energy monotonicity theorems for systems with