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Spin-orbital-angular-momentum (SOAM) coupling has been realized in recentexperiments of Bose-Einstein condensates [Chen et al., Phys. Rev. Lett. 121,113204 (2018) and Zhang et al., Phys. Rev. Lett. 122, 110402 (2019)], where theorbital angular momentum imprinted upon bosons leads to quantized vortices. Forfermions, such an exotic synthetic gauge field can provide fertile ground forfascinating pairing schemes and rich superfluid phases, which are yet to beexplored. Here we demonstrate how SOAM coupling stabilizes vortices in Fermisuperfluids through a unique mechanism that can be viewed as the angular analogto that of the spin-orbit-coupling-induced Fulde-Ferrell state under a Fermisurface deformation. Remarkably, the vortex size is comparable with the beamwaist of Raman lasers generating the SOAM coupling, which is typically muchlarger than previously observed vortices in Fermi superfluids. With tunablesize and core structure, these giant vortex states provide unprecedentedexperimental access to topological defects in Fermi superfluids.

Generating Giant Vortex in a Fermi Superfluid via Spin-Orbital-Angular-Momentum Coupling