“…When the surface anisotropy is sufficiently strong to overcome the shape anisotropy, a squared hysteresis loop is resulted 22 . Along the <111> orientation of cubic crystals 23 , || , where K 1 , λ 111 , σ || , and M s stand for the 1st-order cubic anisotropy, magnetostriction constant, in-plane stress, and saturation magnetization of the film, respectively. TIG, as a member of the rare earth iron garnet family, has a large negative magnetostriction constant (λ 111 = -5.2) 24 , about twice as much as that of YIG (λ 111 = -2.7) 24 .…”