Fractional charge and statistics in few-body lattice quantum Hall states

Abstract

The Laughlin fractional quantum Hall effect (FQHE) is one of the paradigmatic strongly-correlated systems that has captivated physicists for decades. Arguably, its most defining property is the emergence of collective excitations with fractional charge and statistics. In this project, we report the observation of these signatures in one of the most well-studied fractional Chern insulators (lattice analogs to the FQH): the Hofstadter model. Moreover, we discuss whether variational neural networks can be valid ansätze of the FQH ground state.