Magnetic phase transition in coupled spin-lattice systems: A replica-exchange Wang-Landau study
arXiv:1612.08464 · doi:10.1103/PhysRevE.94.043308
Abstract
Coupled, dynamical spin-lattice models provide a unique test ground for simulations investigating the finite-temperature magnetic properties of materials under the direct influence of the lattice vibrations. These models are constructed by combining a coordinate-dependent interatomic potential with a Heisenberg-like spin Hamiltonian, facilitating the treatment of both the atomic coordinates and spins as explicit phase variables. Using a model parameterized for bcc iron, we study the magnetic phase transition in these complex systems via the recently introduced, massively parallel replica-exchange Wang-Landau Monte Carlo method. Comparison with the results obtained from rigid lattice (spin only) simulations show that the transition temperature as well as the amplitude of the peak in the specific heat curve is marginally affected by the lattice vibrations. Moreover, the results were found to be sensitive to the particular choice of the interatomic potential.
References in corpus (13)
- An efficient, multiple range random walk algorithm to calculate the density of states
- Exchange Monte Carlo Method and Application to Spin Glass Simulations
- Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
- Fast Algorithm to Calculate Density of States
- Understanding and Improving the Wang-Landau Algorithm
- A generic, hierarchical framework for massively parallel Wang-Landau sampling
- Potential of Mean Force between a Spherical Particle Suspended in a Nematic Liquid Crystal and a Substrate
- Scalable replica-exchange framework for Wang-Landau sampling
- Algorithm for molecular dynamics simulations of spin liquids
- Reinventing atomistic magnetic simulations with spin-orbit coupling
- A new paradigm for petascale Monte Carlo simulation: Replica exchange Wang-Landau sampling
- Dynamics of the Wang-Landau algorithm and complexity of rare events for the three-dimensional bimodal Ising spin glass
- Exploring new frontiers in statistical physics with a new, parallel Wang-Landau framework