Numerical methods for antiferromagnetics

Abstract

Compared with ferromagnetic counterparts, antiferromagnetic materials are considered as the future of spintronic applications since these materials are robust against the magnetic perturbation, produce no stray field, and display ultrafast dynamics. There are (at least) two sets of magnetic moments in antiferromagnets (with magnetization of the same magnitude but antiparallel directions) and ferrimagnets (with magnetization of the different magnitude). The coupled dynamics for the bipartite collinear antiferromagnets is modeled by a coupled system of Landau-Lifshitz-Gilbert equations with an additional term originated from the antiferromagnetic exchange, which leads to femtosecond magnetization dynamics. In this paper, we develop three Gauss-Seidel projection methods for micromagnetics simulation in antiferromagnets and ferrimagnets. They are first-order accurate in time and second-order in space, and only solve linear systems of equations with constant coefficients at each step. Femtosecond dynamics, Néel wall structure, and phase transition in presence of an external magnetic field for antiferromagnets are provided with the femtosecond stepsize.

References in corpus (11)

• Spintronics: Fundamentals and applications
• Electrical switching of an antiferromagnet
• Fast domain wall motion induced by antiferromagnetic spin dynamics at the angular momentum compensation temperature of ferrimagnets
• Staggering antiferromagnetic domain wall velocity in a staggered spin-orbit field
• Antiferromagnetic domain wall motion driven by spin-orbit torques
• Micromagnetic modeling of Terahertz oscillations in an antiferromagnetic material driven by spin-Hall effect
• Sub-terahertz ferrimagnetic spin-transfer torque oscillator
• Second-order semi-implicit projection methods for micromagnetics simulations
• Manipulating antiferromagnets with magnetic fields: ratchet motion of multiple domain walls induced by asymmetric field pulses
• Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation
• Fast Vortex Oscillations in a Ferrimagnetic Disk near the Angular Momentum Compensation Point

Cited by in corpus (3)

• Magnon spectrum of altermagnets beyond linear spin wave theory: Magnon-magnon interactions via time-dependent matrix product states vs. atomistic spin dynamics
• Fate of entanglement in magnetism under Lindbladian or non-Markovian dynamics and conditions for their transition to Landau-Lifshitz-Gilbert classical dynamics
• A Gauss-Seidel projection method with the minimal number of updates for stray field in micromagnetic simulations