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Related papers: Magnetization dynamics and reversal of two-dimensi…

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We investigate in details the inertial dynamics of a uniform magnetization in the ferromagnetic resonance (FMR) context. Analytical predictions and numerical simulations of the complete equations within the Inertial Landau-Lifshitz-Gilbert…

Materials Science · Physics 2014-12-12 E. Olive , Y. Lansac , M. Meyer , M. Hayoun , J. -E. Wegrowe

We investigate theoretically the dynamics of magnetization coupled to the surface Dirac fermions of a three dimensional topological insulator, by deriving the Landau-Lifshitz-Gilbert (LLG) equation in the presence of charge current. Both…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 Takehito Yokoyama , Jiadong Zang , Naoto Nagaosa

We propose and implement a third-order accurate numerical scheme for the Landau-Lifshitz-Gilbert equation, which describes magnetization dynamics in ferromagnetic materials under large damping parameters. This method offers two key…

Mathematical Physics · Physics 2025-10-29 Changjian Xie , Cheng Wang

Magnetization manipulation is becoming an indispensable tool for both basic and applied research. Theory predicts two types of ultrafast demagnetization dynamics classified as type I and type II. In type II materials, a second slower…

Materials Science · Physics 2014-05-08 J. Mendil , P. C. Nieves , O. Chubykalo-Fesenko , J. Walowski , M. Münzenberg , T. Santos , S. Pisana

We present a theoretical framework which is generally applicable to the study of time scales of activated processes in systems with Brownian type dynamics. This framework is applied to a prototype system: magnetization reversal times in the…

Statistical Mechanics · Physics 2009-11-07 Kevin Brendel , G. T. Barkema , Henk van Beijeren

The interaction of coherent magnetization rotation with a system of two-level impurities is studied. Two different, but not contradictory mechanisms, the `slow-relaxing ion' and the `fast-relaxing ion' are utilized to derive a system of…

Condensed Matter · Physics 2009-10-31 Vladimir L. Safonov , H. Neal Bertram

We put forward a method for achieving fast and robust for magnetization reversal in a nanomagnet, by combining the inverse engineering and composite pulses. The magnetic fields, generated by microwave with time-dependent frequency, are…

Quantum Physics · Physics 2017-03-13 Ze-Guo Song , Han Wu , Si Wang , Yue Ban , Xi Chen

We study orbital magnetism in a three-dimensional (3D) quantum dot with a parabolic confining potential. We calculate the free energy of the system as a function of the magnetic field and the temperature. By this, we show that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Takeru Suzuki , Hiroshi Imamura , Masahiko Hayashi , Hiromichi Ebisawa

The Landau-Lifshitz-Gilbert (LLG) equation that describes the dynamics of a macroscopic magnetic moment finds its limit of validity at very short times. The reason for this limit is well understood in terms of separation of the…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Jean-Eric Wegrowe , Enrick Olive

We report on a comprehensive thermodynamic study of a quasi-two-dimensional (quasi-2D) quantum magnet Cu$_2$(OH)$_3$Br which in the 2D layer can be viewed as strongly coupled alternating antiferromagnetic and ferromagnetic chains. In an…

The gyromagnetic relation - i.e. the proportionality between the angular momentum $\vec L$ (defined by an inertial tensor) and the magnetization $\vec M$ - is evidence of the intimate connections between the magnetic properties and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 J. -E. Wegrowe , M. -C. Ciornei

The Landau-Lifshitz equation describes the dynamics of the magnetization inside ferromagnetic materials. This equation is highly nonlinear and has a non-convex constraint (the magnitude of the magnetization is constant) which pose…

Numerical Analysis · Mathematics 2016-12-21 Eugenia Kim , Konstantin Lipnikov

We investigate the magnetization reversal of single-domain magnetic nanoparticle driven by linear down-chirp microwave magnetic field pulse. Numerical simulations based on the Landau-Lifshitz-Gilbert equation reveal that solely down-chirp…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 M. T. Islam , X. S. Wang , Y. Zhang , X. R. Wang

The remagnetization dynamics of monolayer dot array superlattice XY 2-D spin model with dipole-dipole interactions is simulated. Within the proposed model of array, the square dots are described by the spatially modulated…

Disordered Systems and Neural Networks · Physics 2009-11-10 Martin Gmitra , Denis Horvath

Micromagnetics depends on high-fidelity numerical methods for magnetization dynamics. This work proposes a third-order temporal accuracy scheme for the Landau-Lifshitz-Gilbert equation, addressing accuracy-efficiency trade-offs in existing…

Mathematical Physics · Physics 2025-11-17 Changjian Xie , Cheng Wang

Three-dimensional magnetic nanostructures have recently emerged as artificial magnetic material types with unique properties bearing potential for applications, including magnonic devices. Interconnected magnetic nanowires are a…

Mesoscale and Nanoscale Physics · Physics 2023-06-02 Rajgowrav Cheenikundil , Massimiliano d'Aquino , Riccardo Hertel

The stochastic Landau--Lifshitz--Gilbert (LLG) equation describes the behaviour of the magnetization under the influence of the effective field consisting of random fluctuations. We first reformulate the equation into an equation the…

Numerical Analysis · Mathematics 2015-02-05 Beniamin Goldys , Kim-Ngan Le , Thanh Tran

Thin nanomagnetic rings have generated interest for fundamental studies of magnetization reversal and also for their potential in various applications, particularly as magnetic memories. They are a rare example of a geometry in which an…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Gabriel D. Chaves-O'Flynn , Ke Xiao , D. L. Stein , A. D. Kent

Magnetic materials host a wealth of nonlinear dynamics, textures, and topological defects. This is possible due to the competition between strong nonlinearity and dispersion that act at the atomic scale as well as long-range interactions.…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Kyle Rockwell , Joel Hirst , Thomas A. Ostler , Ezio Iacocca

We consider the Landau-Lifshitz-Gilbert equation (LLG) that models time-dependent micromagnetic phenomena. We propose a full discretization that employs first-order finite elements in space and a BDF2-type two-step method in time. In each…

Numerical Analysis · Mathematics 2026-02-11 Michele Aldé , Michael Feischl , Dirk Praetorius