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Persistent spin texture (PST), a property of solid-state materialsmaintaining unidirectional spin polarization in the momentum $k$-space, offersa route to deliver the necessary long carrier spin lifetimes through thepersistent spin helix (PSH) mechanism. However, most of the discovered PSTlocally occurred in the small part around certain high symmetry $k$-points orlines in the first Brillouin zone (FBZ), thus limiting the stability of the PSHstate. Herein, by symmetry analysis and first-principles calculations, wereport the emergence of full-zone PST (FZPST), a phenomenon displaying the PSTin the whole FBZ, in the two-dimensional group IV-V $A_{2}B_{2}$ ($A$ = Si, Sn,Ge; $B$ = Bi, Sb) compounds. Due to the existence of the in-plane mirrorsymmetry operation in the wave vector point group symmetry for the arbitrary$\vec{k}$ in the whole FBZ, fully out-of-plane spin polarization is observed inthe $k$-space, thus maintaining the FZPST. Importantly, we observed giant spinsplitting in which the PST sustains, supporting large SOC parameters and smallwavelengths of the PSH states. Our $\vec{k}\cdot\vec{p}$ analysis demonstratedthat the FZPST is robust for the non-degenerate bands, which can be effectivelycontrolled by the application of an external electric field, thus offering apromising platform for future spintronic applications.

Full-zone Persistent Spin Textures with Giant Spin Splitting in Two-dimensional Group IV-V Compounds