Article
Mathematics, Applied
Le Liu, Wenjing Song, Ganshan Yang
Summary: The paper discusses the inhomogeneous Landau-Lifshitz equation with nonuniform Gilbert damping term using a numerical method. A semi-discrete form of the equation is established, which is continuous in time. The temporal discretization is studied and a simple projection method is proposed to solve the problem. It is proved that the method is unconditionally stable.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Chemistry, Multidisciplinary
Lakhan Bainsla, Akash Kumar, Ahmad A. Awad, Chunlei Wang, Mohammad Zahedinejad, Nilamani Behera, Himanshu Fulara, Roman Khymyn, Afshin Houshang, Jonas Weissenrieder, Johan Akerman
Summary: This study investigates the characteristics of ultrathin ferrimagnetic films, and for the first time, observes nearly compensated behavior in 2 nm thick Gd-x(Fe87.5Co12.5)(1-x) films, showing great potential for the development of ultrafast and energy efficient ferrimagnetic spintronic devices.
ADVANCED FUNCTIONAL MATERIALS
(2022)
Article
Computer Science, Interdisciplinary Applications
Yongyong Cai, Jingrun Chen, Cheng Wang, Changjian Xie
Summary: In this study, a second order accurate numerical scheme is proposed and implemented for the simulation of magnetization dynamics in ferromagnetic materials with large damping parameters. The method demonstrates high efficiency and stability.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Physics, Condensed Matter
Sascha Brinker, Manuel dos Santos Dias, Samir Lounis
Summary: We propose a systematic and sequential expansion of the Landau-Lifshitz-Gilbert equation by utilizing the dependence of the Gilbert damping tensor on the angle between magnetic moments.
JOURNAL OF PHYSICS-CONDENSED MATTER
(2022)
Article
Physics, Applied
Ryoya Hiramatsu, Daisuke Miura, Akimasa Sakuma
Summary: In this study, we propose a method for calculating the Gilbert damping constants at finite temperature and apply it to two materials. By comparing our calculated results with experimental values, we observe a discrepancy, which reflects the characteristics of the torque correlation model.
APPLIED PHYSICS EXPRESS
(2022)
Article
Mathematics, Applied
Guangwu Wang, Boling Guo
Summary: This paper investigates the regularity of the strong solution to the Landau-Lifshitz-Gilbert equation and obtains a blowup criterion for the strong solution in a multi-dimensional bounded domain with Neumann boundary condition.
APPLIED MATHEMATICS LETTERS
(2023)
Article
Mathematics, Applied
Francois Alouges, Anne de Bouard, Benoit Merlet, Lea Nicolas
Summary: This paper establishes a homogenization theorem in a stochastic setting for two nonlinear equations, the equation of harmonic maps and the Landau-Lifschitz-Gilbert equation, based on the ideas of Zhikov and Piatnitski. These equations have strong nonlinear features and generally do not have unique solutions.
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS
(2021)
Article
Mathematics
Ning Jiang, Hui Liu, Yi-Long Luo
Summary: In this paper, the local-in-time existence of the evolutionary model for magnetoelasticity with finite initial energy is proven by using the nonlinear iterative approach to handle the constraint on values of the magnetization |M(t, x)| = 1 in the Landau-Lifshitz-Gilbert (LLG) equation. The evolutionary model for magnetoelasticity with zero external magnetic field is reformulated near the constant equilibrium, and a dissipative term is introduced from the elastic stress. The global well-posedness of the model is justified under small size of initial data.(c) 2023 Elsevier Inc. All rights reserved.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2023)
Article
Mathematics, Applied
Jingrun Chen, Zhiwei Sun, Yun Wang, Lei Yang
Summary: This paper investigates the model and stability of spin waves, providing the expressions of spin waves under different conditions and constructing approximate solutions with error depending quadratically on the uniform strength of the magnetic field over time.
COMMUNICATIONS IN MATHEMATICAL SCIENCES
(2021)
Article
Mathematics, Applied
M. I. C. H. E. L. E. RUGGERI
Summary: This paper focuses on the numerical approximation of the inertial Landau-Lifshitz-Gilbert equation (iLLG) and proposes and analyzes two fully discrete numerical schemes. These schemes are implicit and generate approximations that satisfy the unit-length constraint of the iLLG equation. Convergence of the approximations towards a weak solution of the problem is proven, and numerical experiments validate the theoretical results and demonstrate the applicability of the methods for simulating ultrafast magnetic processes.
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS
(2022)
Article
Physics, Multidisciplinary
Bibhuti Bhusan Jena, Pushpendra Gupta, Sagarika Nayak, Abhisek Mishra, Antonio Azevedo, Haifeng Ding, Subhankar Bedanta
Summary: Switching magnetization with spin current via spin orbital torque is a novel approach towards energy-efficient spintronics. High spin-orbit coupling materials such as heavy metals are typically used to generate spin current through spin Hall effect. However, recent research has focused on replacing heavy metals with antiferromagnets as spin sinks. The bimetallic antiferromagnet Mn2Au, with its high Neel temperature and spin Hall angle, has attracted attention in this regard.
Article
Computer Science, Interdisciplinary Applications
Lei Yang, Jingrun Chen, Guanghui Hu
Summary: This paper presents a framework for the numerical solution of the Landau-Lifshitz-Gilbert equation based on the finite element method and implicit midpoint scheme. The computational complexity for calculating the demagnetization field is effectively reduced using a PDE approach.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Physics, Applied
Sergei Ovcharenko, Mikhail Gaponov, Alexey Klimov, Nicolas Tiercelin, Philippe Pernod, Elena Mishina, Alexander Sigov, Vladimir Preobrazhensky
Summary: We studied the dynamics of spin relaxation motion excited by a femtosecond pulse in TbCo2/FeCo multilayer structures with different thickness ratios of TbCo2 to FeCo. The main finding of this study is that the observed dynamics is attributed to the destruction and restoration of magnetic anisotropy, rather than demagnetization. Additionally, the Gilbert damping in the multilayers is found to be one order of magnitude higher than that in the constituent monolayers.
JOURNAL OF PHYSICS D-APPLIED PHYSICS
(2022)
Article
Mathematics, Applied
Georgios Akrivis, Michael Feischl, Balazs Kovacs, Christian Lubich
Summary: This study focuses on the time discretization of the Landau-Lifshitz-Gilbert (LLG) equation in micromagnetics, proving stability and error bounds in the situation of a sufficiently regular solution. A positive damping parameter threshold is required for higher-order BDF methods, while A-stable methods do not have this requirement and also demonstrate a discrete energy inequality regardless of solution regularity.
MATHEMATICS OF COMPUTATION
(2021)
Article
Nanoscience & Nanotechnology
T. Usami, M. Itoh, T. Taniyama
Summary: Antiferromagnetic materials are of interest for device applications due to their lack of stray field and high-frequency response. Understanding the interfacial effects between antiferromagnetic and ferromagnetic materials, particularly magnetization dynamics and magnetic damping, is crucial for integrating them into magnetic devices. By studying the B2-ordered FeRh with a first-order phase transition from antiferromagnetic to ferromagnetic states, researchers can gain insight into the dynamic properties at the interface, such as the temperature dependence of the effective Gilbert damping constant.
