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Magnetization Dynamics

Our group explores how charge currents generate spin-orbit torques (SOTs) that drive magnetization dynamics in van der Waals magnets. Using fully-relativistic first‑principles calculations with symmetry‑adapted Wannier interpolation and Kubo–Bastin response theory, we map the angular dependence of SOTs in Fe₃GeTe₂ (FGT), Fe₃GaTe₂ (FGaT), and WTe₂ stacks. We find that interband “hot spots” at SOC‑mixed band anti-crossings dominate the even SOT near in‑plane magnetization, while the odd SOT is largely Fermi‑surface controlled, directly linking the band structure to current‑induced torques that govern magnetization dynamics.

Material design offers powerful control knobs: Substituting Ge by Ga effectively hole‑dopes FGT and reshapes the Berry‑curvature distributions, changing the sign and magnitude of a key SOT component across realistic disorder levels. In WTe₂/FGT, reduced crystal symmetry and interfacial Te–Te hybridization amplify damping‑like torques and introduce an out‑of‑plane spin polarization, enabling field‑free, deterministic switching. Atom‑ and layer‑resolved analyses further reveal large “hidden” (canceling) torques with a small uniform remainder, the piece that actually switches the magnet, offering practical design rules to maximize SOT efficiency.

Geometry, magnetization angles, and crystal structure.  Top: An in-plane field E drives a charge current jx. The reference axis σ only fixes the fieldlike/dampinglike decomposition. It is not the current-induced spin polarization, which the horizontal mirror σh pins to z. The magnetization m is set by the polar angle θ and azimuth φ. The torque splits into fieldlike, τFL mσ, and dampinglike, τDL m ⨯ (σ m), components. Under reversal of m, the fieldlike part is odd (TR-odd) and the dampinglike part even (TR-even), identifying them with the Fermi-surface and Fermi-sea contributions of the Kubo–Bastin response.  Bottom: (a) Side and (b) top views. Gray and red spheres are Te and X; the inequivalent irons are FeI (green, outer layers) and FeII (amber, central plane, with X).
Angular dependence of the spin-orbit torkance on the unit sphere of magnetization directions for monolayer Fe₃GeTe₂ [(a)–(c)] and Fe₃GaTe₂[(d)–(f)] at E x on an 800 ⨯ 800 Monkhorst–Pack mesh. Panels (a) and (d) show the TR-even (Fermi-sea) tangential magnitude, panels (b) and (e) show the TR-odd (Fermi-surface) magnitude, and panels (c) and (f) show the sum of both. The response vanishes at the polar caps, where the unitary subgroup C₃ₕ of the magnetic point group D₃ₕ (C₃ₕ) retains σh.
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