Entropy-reduced retention times in magnetic memory elements: A case of the Meyer-Neldel Compensation Rule

Abstract

We compute mean waiting times between thermally-activated magnetization reversals in a nanodisk with parameters similar to a free CoFeB layer used in magnetic random access memories. By combining Langer's theory and forward flux sampling simulations, we show that the Arrhenius prefactor can take values up to 10${}^{21}$ Hz, orders of magnitude beyond the value of 10${}^9$ Hz typically assumed, and varies drastically as a function of material parameters. We show that the prefactor behaves like an exponential of the activation energy, which highlights a case of the Meyer-Neldel compensation rule. This suggests that modeling information retention times with a barrier-independent prefactor in such magnetic storage elements is not justified.

arXiv comment5 pages, 4 figures

References in corpus (16)

• The design and verification of Mumax3
• Dynamics of Dzyaloshinskii domain walls in ultrathin magnetic films
• Sampling rare switching events in biochemical networks
• Simulating rare events in equilibrium or non-equilibrium stochastic systems
• Method for finding mechanism and activation energy of magnetic transitions, applied to skyrmion and antivortex annihilation
• Thermal stability and topological protection of skyrmions in nanotracks
• Entropy-limited topological protection of skyrmions
• Adaptively time stepping the stochastic Landau-Lifshitz-Gilbert equation at nonzero temperature: implementation and validation in MuMax3
• Nonreciprocal spin-wave channeling along textures driven by the Dzyaloshinskii-Moriya interaction
• Thermal stability of metastable magnetic skyrmions: Entropic narrowing and significance of internal eigenmodes
• Skyrmion lifetimes in ultrathin films
• Paths to annihilation of first and second-order (anti)skyrmions via (anti)meron nucleation on the frustrated square lattice
• Disruptive effect of Dzyaloshinskii-Moriya interaction on the MRAM cell performance
• Detrimental Effect of Interfacial Dzyaloshinskii-Moriya Interaction on Perpendicular Spin-Transfer-Torque Magnetic Random Access Memory
• Path sampling for lifetimes of metastable magnetic skyrmions and direct comparison with Kramers' method
• Calculating thermal stability and attempt frequency of advanced recording structures without free parameters

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• Measurement-driven neural-network training for integrated magnetic tunnel junction arrays
• Relaxation pathways and emergence of domains in square artificial spin ice
• Modelling nanomagnet vertex dynamics through Coulomb charges
• Bloch point-mediated skyrmion annihilation in three dimensions
• A robust theory of thermal activation in magnetic systems with Gilbert damping
• Positional stability of skyrmions in a racetrack memory with notched geometry