Skyrmion ground states in the presence of localizing potentials in weakly dopedCuO2planes

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Abstract
The motion of a single hole in the one-band t-t’-J model that is constrained to move over only one plaquette is shown to lead to a ground state with a three-dimensional spin texture whose topology is that of a singly charged Skyrmion. This geometry mimics the weakly doped 214 superconductors where the Sr or Ce ions locally pin the otherwise mobile holes with a pinning potential that has fourfold symmetry. The competition between t and J that leads to the novel chiral-symmetry-breaking ground states is shown to be describable via a semiclassical theory that accounts for a coupling of the hole’s spin current to the magnetization current of the antiferromagnetic background.