Self-charged polar nematic monopoles and hybrid topological states: intertwining and domain integration

Polar topological solitons are quasi-particles essential in condensed matter physics, with a key challenge being their topological diversification, control, and arrangement. This study demonstrates that confinement asymmetry can tailor and diversify topological electrically-polar solitons in fluid ferroelectrics, being a key pathway for solving the long-standing problem in designing large-scale and complicated domain structures. We discover nonclassical electric monopoles and hybrid topological states, including chiral meron and anti-meron variants and their higher-order hybridization with a nested skyrmion core. They exhibit intrinsic self-charge, interacting through nematic elasticity and electric polar interactions. The unique mechanism leads to the formation of multibody topological superstructures by intertwining their polar flux. We propose utilizing solitonic structures as fundamental quasi-particles for designing large-scale charged arrays in insulating fluids, which function as local conductors. The self-organization offers an unprecedented opportunity for realizing large-scale engineering of in-plane domain structures that were previously unachievable in traditional ferroelectrics.