Temperature scaling of two-ion anisotropy in pure and mixed anisotropy systems

Abstract

Magnetic anisotropy plays an essential role in information technology applications of magnetic materials, providing a means to retain the long-term stability of a magnetic state in the presence of thermal fluctuations. Anisotropy consists of a single-ion contribution stemming from the crystal structure and two-ion terms attributed to the exchange interactions between magnetic atoms. A lack of robust theory crucially limits the understanding of the temperature dependence of the anisotropy in pure two-ion and mixed single-ion and two-ion systems. Here, we use Green's function theory and atomistic Monte Carlo simulations to determine the temperature scaling of the effective anisotropy in ferromagnets in these pure and mixed cases, from saturated to vanishing magnetization. At low temperature, we find that the pure two-ion anisotropy scales with the reduced magnetization as $k(m)\sim m^{2.28}$, while the mixed scenario describes the diversity of the temperature dependence of the anisotropy observed in real materials. The temperature dependence of the mixed anisotropy determined here is expected to considerably contribute to the understanding and the control of the thermal properties of magnetic materials.

arXiv comment7 pages, 4 figures

References in corpus (17)

• Atomistic spin model simulations of magnetic nanomaterials
• Thermal fluctuations of magnetic nanoparticles
• Spin-orbit coupling induced anisotropy effects in bimetallic antiferromagnets: A route towards antiferromagnetic spintronics
• Temperature dependent magnetic properties of FePt: effective spin Hamiltonian model
• Quantitative simulation of temperature dependent magnetization dynamics and equilibrium properties of elemental ferromagnets
• Temperature dependent magnetic anisotropy in metallic magnets from an ab-initio electronic structure theory: L1_0-ordered FePt
• Constrained Monte Carlo Method and Calculation of the Temperature Dependence of Magnetic Anisotropy
• Observation of two independent skyrmion phases in a chiral magnetic material
• Giant magnetic anisotropy of the bulk antiferromagnets IrMn and IrMn3
• Thermally induced error: density limit for magnetic data storage
• Calculating temperature-dependent properties of Nd${}_2$Fe${}_{14}$B permanent magnets by atomistic spin model simulations
• Temperature scaling of the Dzyaloshinsky-Moriya interaction in the spin wave spectrum
• A microscopic model for ultrafast remagnetization dynamics
• Extraordinary temperature dependent magnetic anisotropy of the non-collinear antiferromagnet IrMn
• Unified decoupling scheme for exchange and anisotropy contributions and temperature-dependent spectral properties of anisotropic spin systems
• Power law analysis for temperature dependence of magnetocrystalline anisotropy constants of Nd${}_2$Fe${}_{14}$B magnets
• Role of longitudinal fluctuations in L$1_0$ FePt

Cited by in corpus (11)

• Spin-lattice model for cubic crystals
• Material systems for FM-/AFM-coupled skyrmions in Co/Pt-based multilayers
• Crucial role of Fe in determining the hard magnetic properties of Nd${}_2$Fe${}_{14}$B
• Effect of magnetic anisotropy relaxation on laser-induced magnetization precession in thin galfenol films
• Finite-temperature second-order perturbation analysis of magnetocrystalline anisotropy energy of L10-type ordered alloys
• Temperature Dependence of Magnetocrystalline Anisotropy in Itinerant Ferromagnets
• Delving into the anisotropic interlayer exchange in bilayer CrI${}_3$
• Generalised form of the magnetic anisotropy field in micromagnetic and atomistic spin models
• Temperature dependence of spin-model parameters in antiferromagnets
• Spin reorientation transition in an ultrathin Fe film on W(110) induced by Dzyaloshinsky-Moriya interactions
• Temperature-dependent critical spin-orbit field for orthogonal switching in antiferromagnets