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We investigate extrinsic wormholelike twist defects that effectively increasethe genus of space in lattice versions of multicomponent fractional quantumHall systems. Although the original band structure is distorted by thesedefects, leading to localized midgap states, we find that a new lowest flatband representing a higher genus system can be engineered by tuning localsingle-particle potentials. Remarkably, once local many-body interactions inthis new band are switched on, we identify various Abelian and non-Abelianfractional quantum Hall states, whose ground-state degeneracy increases withthe number of defects, i.e, with the genus of space. This sensitivity oftopological degeneracy to defects provides a "proof of concept" demonstrationthat genons, predicted by topological field theory as exotic non-Abeliandefects tied to a varying topology of space, do exist in realistic microscopicmodels. Specifically, our results indicate that genons could be created in thelaboratory by combining the physics of artificial gauge fields in cold atomsystems with already existing holographic beam shaping methods for creatingtwist defects.

Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States