Symmetry, spin-texture, and tunable quantum geometry in WTe2 monolayer*

The spin orientation of electronic wavefunctions in crystals is an internal degree of freedom, typically insensitive to electrical knobs. We argue from a general symmetry analysis and a k.p perspective, that monolayer 1T'-WTe2 possesses an electrically tunable bulk band quantum geometry arising from a gate-activated canted spin texture. In particular, we find that due to its out-of-plane asymmetry, an applied out-of-plane electric field breaks inversion symmetry to induce both in-plane and out-of-plane electric dipoles. These in-turn generate spin-orbit coupling to lift the spin degeneracy and enable a bulk band Berry curvature and magnetic moment distribution to develop. Further, due to its low symmetry, Berry curvature and magnetic moment in 1T'-WTe2 possess a dipolar distribution in momentum space, and can lead to unconventional effects such as a current induced magnetization and quantum non-linear anomalous Hall effect. These render 1T'-WTe2 a rich two-dimensional platform for all-electrical control over quantum geometric effects.