A comparative review of recent results on supercritical anomalies in two-dimensional kinetic Ising and Blume-Capel ferromagnets

Abstract

Following the unexpected experimental discovery of ``sideband'' peaks in the fluctuation spectrum of thin Co films driven by a slowly oscillating magnetic field with a constant bias [P.~Riego et al., Phys. Rev. Lett. 118, 117202 (2017)] numerical studies of two-state Ising and three-state Blume-Capel (BC) ferromagnets in this dynamically supercritical regime have flourished and been successful in explaining this phenomenon. Here, we give a comparative review of this new literature and its connections to earlier work. Following an introduction and a presentation of the two models and the computational method used in many of these studies, we present numerical results for both models. Particular attention is paid to the fact that zero spins in the BC model tend to collect at he interfaces between regions of the two nonzero spin values, +/-1. We present strong arguments that this phenomenon leads to a reduction of the effective interface tension in the BC model, compared to the Ising model.

12 pages, 6 figures

References in corpus (11)

• Evidence for a dynamic phase transition in [Co/Pt]_3 magnetic multilayers
• Dynamic phase transition in the two-dimensional kinetic Ising model in an oscillating field: Universality with respect to the stochastic dynamic
• Conjugate field and fluctuation-dissipation relation for the dynamic phase transition in the two-dimensional kinetic Ising model
• Dynamic phase transition in the three-dimensional kinetic Ising model in an oscillating field
• Fluctuations in a model ferromagnetic film driven by a slowly oscillating field with a constant bias
• Dynamic phase transition of the Blume-Capel model in an oscillating magnetic field
• Tricriticality and finite-size scaling in the triangular Blume-Capel ferromagnet
• Numerical Simulation of a Two-Dimensional Blume-Capel Ferromagnet in an Oscillating Magnetic Field with a Constant Bias
• Monte Carlo study of the two-dimensional kinetic Ising model under a nonantisymmetric magnetic field
• Multicritical Bifurcation and First-order Phase Transitions in a Three-dimensional Blume-Capel Antiferromagnet
• Dynamical phase transitions in $XY$ model: a Monte Carlo and mean-field theory study