Vijay’s work addresses the current-driven dynamics of topological spin textures in confined magnetic nanostructures. In conventional ferromagnetic tracks, magnetic skyrmions experience a transverse gyrotropic deflection—the skyrmion Hall effect—that drives them toward device boundaries, leading to edge deformation and annihilation. Synthetic ferrimagnets, consisting of antiferromagnetically coupled layers with unequal magnetic moments, provide a system where the degree of magnetic compensation can be adjusted to suppress this transverse deflection while retaining a net moment for electrical detection.

He uses numerical integration of the Landau–Lifshitz–Gilbert equation combined with analytical modeling based on the Thiele collective-coordinate formalism, parameterizing micromagnetic calculations against magnetic force microscopy measurements.

Focusing on current-driven skyrmion transport in synthetic ferrimagnetic tracks in the sub-100 nm regime, his work examines how skyrmion mobility and Hall deflection depend on skyrmion diameter and magnetic compensation. Partial compensation reduces the gyrotropic force, enhancing longitudinal velocity while suppressing transverse motion. In confined nanotracks, the remaining transverse motion drives skyrmions toward the track boundary, where the balance between driving and edge-repulsive forces yields steady edge-confined trajectories below a critical driving current, and boundary annihilation above it. By analyzing size-dependent mobility alongside boundary force balances, his calculations map the conditions where longitudinal transport and edge confinement remain simultaneously stable.