Slow dynamics in a 2D Ising model with competing interactions

Abstract

The far-from-equilibrium low-temperature dynamics of ultra-thin magnetic films is analyzed by using Monte Carlo numerical simulations on a two dimensional Ising model with competing exchange ($J_0$) and dipolar ($J_d$) interactions. In particular, we focus our attention on the low temperature region of the $(\delta ,T)$ phase diagram (where $\delta =J_0/J_d$) for the range of values of $\delta$ where striped phases with widths $h=1$ ($h1$) and $h=2$ ($h2$) are present. The presence of metastable states of the phase $h2$ in the region where the phase $h1$ is the thermodynamically stable one and viceversa was established recently. In this work we show that the presence of these metastable states appears as a blocking mechanism that slows the dynamics of magnetic domains growth when the system is quenched from a high temperature state to a low temperature state in the region of metastability.

7 pages, 9 figures (.eps files)

Cited by in corpus (14)

• Ising nematic phase in ultra-thin magnetic films: a Monte Carlo study
• Stripe-tetragonal first order phase transition in ultra-thin magnetic films
• Interplay between coarsening and nucleation in an Ising model with dipolar interactions
• Phase transitions and autocorrelation times in two-dimensional Ising model with dipole interactions
• Stripe-tetragonal phase transition in the 2D Ising model with dipole interactions: Partition-function zeros approach
• Two-dimensional quantum spin-1/2 Heisenberg model with competing interactions
• One-dimensional Ising ferromagnet frustrated by long-range interactions at finite temperatures
• Langevin dynamics of fluctuation induced first order phase transitions: self consistent Hartree Approximation
• Non-equilibrium structures and slow dynamics in a two dimensional spin system with competitive long range and short range interactions
• Domain-wall free energy in Heisenberg ferromagnets
• Dynamics of systems with isotropic competing interactions in an external field: a Langevin approach
• Dynamical frustration in ANNNI model and annealing
• Late stage, non-equilibrium dynamics in the dipolar Ising model
• The frustrated spherical model: an alternative to Ginzburg-Landau Hamiltonians with competing interactions