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Breaking of time-reversal and point-group spatial symmetries can have aprofound impact on superconductivity. One of the most extraordinary effects,due to the application of a magnetic field, is represented by the Abrikosovvortices with charged supercurrents circulating around their cores. Whether asimilar phenomenon can be obtained by exploiting spatial symmetry breaking,e.g. through electric fields or mechanical strain, is a fundamentally relevantbut not yet fully settled problem. Here, we show that in two-dimensionalspin-singlet superconductors with unusually low degree of spatial symmetrycontent, vortices with supercurrents carrying angular momentum around the corecan form and be energetically stable. The vortex has zero net magnetic fluxsince it is made up of counter-propagating Cooper pairs with opposite orbitalmoments. By solving self-consistently the Bogoliubov - de Gennes equations inreal space, we demonstrate that the orbital vortex is stable and we unveil thespatial distribution of the superconducting order parameter around its core.The resulting amplitude has a characteristic pattern with a pronounced angularanisotropy that deviates from the profile of conventional magnetic vortices.These hallmarks guide predictions and proposals for the experimental detection.

Zero magnetic-field orbital vortices in s-wave spin-singlet superconductors