Phase diagram of an Ising model for ultrathin magnetic films

Abstract

We study the critical properties of a two--dimensional Ising model with competing ferromagnetic exchange and dipolar interactions, which models an ultra-thin magnetic film with high out--of--plane anisotropy in the monolayer limit. In this work we present a detailed calculation of the $(\delta ,T)$ phase diagram, $\delta$ being the ratio between exchange and dipolar interactions intensities. We compare the results of both mean field approximation and Monte Carlo numerical simulations in the region of low values of $\delta$, identifying the presence of a recently detected phase with nematic order in different parts of the phase diagram, besides the well known striped and tetragonal liquid phases. A remarkable qualitative difference between both calculations is the absence, in this region of the Monte Carlo phase diagram, of the temperature dependency of the equilibrium stripe width predicted by the mean field approximation. We also detected the presence of an increasing number of metastable striped states as the value of $\delta$ increases.

9 pages, 9 figures

References in corpus (5)

• Ising nematic phase in ultra-thin magnetic films: a Monte Carlo study
• Phase diagram of an Ising model with long-range frustrating interactions: a theoretical analysis
• Stripe-tetragonal first order phase transition in ultra-thin magnetic films
• Metric Features of a Dipolar Model
• Two dimensional Ising model with long-range competing interactions

Cited by in corpus (28)

• Antiferroelectric Smectic Ordering as a Prelude to the Ferroelectric Nematic:Introducing the Smectic $Z_A$ Phase
• The Spin Reorientation Transition and Phase Diagram of Ultrathin Ferromagnetic Films
• Checkerboards, stripes and corner energies in spin models with competing interactions
• A Scaling Hypothesis for Modulated Systems
• Interplay between coarsening and nucleation in an Ising model with dipolar interactions
• H-T phase diagram of the bi-dimensional Ising model with exchange and dipolar interactions
• Stripe-tetragonal phase transition in the 2D Ising model with dipole interactions: Partition-function zeros approach
• Phase transitions and autocorrelation times in two-dimensional Ising model with dipole interactions
• Periodic striped ground states in Ising models with competing interactions
• The nematic phase in stripe forming systems within the self consistent screening approximation
• Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions
• T=0 phase diagram and nature of domains in ultrathin ferromagnetic films with perpendicular anisotropy
• Microscopic approach to orientational order of domain walls
• Phase diagram of the two-dimensional dipolar Heisenberg model with the Dzyaloshinskii-Moriya interaction and the Ising anisotropy
• One-dimensional Ising ferromagnet frustrated by long-range interactions at finite temperatures
• Anisotropy-temperature phase diagram for the two-dimensional dipolar Heisenberg model with and without magnetic field
• Formation of stripes and slabs near the ferromagnetic transition
• Modulated phases in external fields: when is reentrant behavior to be expected?
• Finite temperature phase diagram of ultrathin magnetic films without external fields
• Non-equilibrium structures and slow dynamics in a two dimensional spin system with competitive long range and short range interactions
• Temperature-field phase diagram of the two-dimensional dipolar Ising ferromagnet
• Domain-wall free energy in Heisenberg ferromagnets
• Topological phase diagrams of the frustrated Ising ferromagnet
• Inverse transition in the dipolar frustrated Ising ferromagnet: the role of domain walls
• Spin relaxation in phase space
• Phase diagram of the dipolar Ising ferromagnet on a kagome lattice
• On the coexistence of dipolar frustration and criticality in ferromagnets
• The frustrated spherical model: an alternative to Ginzburg-Landau Hamiltonians with competing interactions