Magnetic Switching of a Stoner-Wohlfarth Particle Subjected to a Perpendicular Bias Field

Characterized by uniaxial magnetic anisotropy, the Stoner-Wohlfarth particle experiences a change in magnetization leading to a switch in behavior when tuned by an externally applied field, which relates to the perpendicular bias component (h(perp)) that remains substantially small in comparison with the constant switching field (h(0)). The dynamics of the magnetic moment that governs the magnetic switching is studied numerically by solving the Landau-Lifshitz-Gilbert (LLG) equation using the Mathematica code without any physical approximations; the results are compared with the switching time obtained from the analytic method that intricately treats the non-trivial bias field as a perturbation. A good agreement regarding the magnetic switching time (t(s)) between the numerical calculation and the analytic results is found over a wide initial angle range (0.01 < (0) < 0.3), as h(0) and h(perp) are 1.5 x K and 0.02 x K, where K represents the anisotropy constant. However, the quality of the analytic approximation starts to deteriorate slightly in contrast to the numerical approach when computing t(s) in terms of the field that satisfies h(perp) > 0.15 x K and h(0) = 1.5 x K. Additionally, existence of a comparably small perpendicular bias field (h(perp) << h(0)) causes t(s) to decrease in a roughly exponential manner when h(perp) increases