Order and thermalized dynamics in Heisenberg-like square and Kagomé spin ices

Abstract

Thermodynamic properties of a spin ice model on a Kagomé lattice are obtained from dynamic simulations and compared with properties in square lattice spin ice. The model assumes three-component Heisenberg-like dipoles of an array of planar magnetic islands situated on a Kagomé lattice. Ising variables are avoided. The island dipoles interact via long-range dipolar interactions and are restricted in their motion due to local shape anisotropies. We define various order parameters and obtain them and thermodynamic properties from the dynamics of the system via a Langevin equation, solved by the Heun algorithm. Generally, a slow cooling from high to low temperature does not lead to a particular state of order, even for a set of coupling parameters that gives well thermalized states and dynamics. Some suggestions are proposed for the alleviation of the geometric frustration effects and for the generation of local order in the low temperature regime.

References in corpus (6)

• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Artificial square ice and related dipolar nanoarrays
• Magnetic monopole and string excitations in a two-dimensional spin ice
• Macroscopic magnetic frustration
• From confinement to deconfinement of magnetic monopoles in artificial rectangular spin ices
• Nambu monopoles interacting with lattice defects in two-dimensional artificial square spin ice

Cited by in corpus (2)

• Metastability and dynamic modes in magnetic island chains
• Metastability and dynamics in remanent states of square artificial spin ice with long-range dipole interactions