Magnetic anisotropy of elongated thin ferromagnetic nano-islands for artifical spin ice arrays

Abstract

The energetics of thin elongated ferromagnetic nano-islands is considered for some different shapes, aspect ratios, and applied magnetic field directions. These nano-island particles are important for artificial spin-ice materials. For low temperature, the magnetic internal energy of an individual particle is evaluated numerically as a function of the direction of a particle's net magnetization. This leads to estimations of effective anisotropy constants for (1) the easy axis along the particle's long direction, and (2) the hard axis along the particle's thin direction. A spin relaxation algorithm together with fast Fourier transform for the demagnetization field is used to solve the micromagnetics problem for a thin system. The magnetic hysteresis is also found. The results indicate some possibilities for controlling the equilibrium and dynamics in spin-ice materials by using different island geometries.

9 pages, two-column, 8 figures

References in corpus (4)

• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Magnetic monopole and string excitations in a two-dimensional spin ice
• Thermodynamics of elementary excitations in artificial magnetic square ice
• Extending spin ice concepts to another geometry: the artificial triangular spin ice

Cited by in corpus (14)

• Nambu monopoles interacting with lattice defects in two-dimensional artificial square spin ice
• Dynamics and hysteresis in square lattice artificial spin-ice
• Magnetic oscillation modes in square lattice artificial spin ice
• Thermal vortex dynamics in thin circular ferromagnetic nanodisks
• Collective ferromagnetism of artificial square spin ice
• Order and thermalized dynamics in Heisenberg-like square and Kagomé spin ices
• Optimal control of magnetization reversal in a monodomain particle by means of applied magnetic field
• Naked-eye visualization of geometric frustration effects in macroscopic spin ices
• Metastability and dynamic modes in magnetic island chains
• Metastability and dynamics in remanent states of square artificial spin ice with long-range dipole interactions
• Reduction of energy cost of magnetization switching in a biaxial nanoparticle by use of internal dynamics
• Transverse magnetic field effects on metastable states of magnetic island chains
• State transitions and hysteresis in a transverse magnetic island chain
• Phase Transition and Monopoles Densities in a Nearest Neighbors Two-Dimensional Spin Ice Model