Frequency dispersion of hysteresis in uniaxially anisotropic Heisenberg model: Spin-tilting resonance

The frequency dispersion of magnetic hysteresis for uniaxially anisotropic Heisenberg model in two-dimensional square lattice is studied by Monte Carlo simulation and mean-field calculation in order to investigate the high frequency spin-tilting resonance. It is observed that besides the spin reversal resonance which usually occurs under ac magnetic field of low frequency and high amplitude, the hysteresis dispersion may exhibit a second peak which occurs in the regime of high frequency and low amplitude and depends on the uniaxial anisotropy. It is argued that the second peak originates from the spin tilting in resonance with the ac magnetic field, which generates hysteresis far from saturation and is essentially different from the spin reversal resonance peak. The high frequency power-law scaling of the hysteresis is demonstrated for both the spin reversal mode and spin-tilting mode.