Chiral spin textures of strongly interacting particles in quantum dots

We probe for statistical and Coulomb-induced spin textures among the low-lying states of repulsively interacting particles confined to potentials that are both rotationally and time-reversal invariant. In particular, we focus on two-dimensional quantum dots and employ configuration-interaction techniques to directly compute the correlated many-body eigenstates of the system. We produce spatial maps of the single-particle charge and spin density and verify the annular structure of the charge density and the rotational invariance of the spin field. We further compute two-point spin correlations to determine the correlated structure of a single component of the spin vector field. In addition, we compute three-point spin-correlation functions to uncover chiral structures. We present evidence for both chiral and quasitopological spin textures within energetically degenerate subspaces in the three-and four-particle systems.