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Magnetic Skyrmions belong to the most interesting spin structures for the development of future information technology as they have been predicted to be topologically protected. To quantify their stability, we use an innovative multiscale…

Materials Science · Physics 2017-07-19 Andrea De Lucia , Kai Litzius , Benjamin Krüger , Oleg A. Tretiakov , Mathias Kläui

The dynamics of a magnetic moment or spin are of high interest to applications in technology. Dissipation in these systems is therefore of importance for improvement of efficiency of devices, such as the ones proposed in spintronics. A…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Robin C. Verstraten , Tim Ludwig , Rembert A. Duine , Cristiane Morais Smith

Spin spirals form inside the magnetic layers of antiferromagnetic and noncollinearly-coupled magnetic multilayers in the presence of an external magnetic field. This spin structure can be modeled to extract the direct exchange stiffness of…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Elliot Wadge , Afan Terko , George Lertzman-Lepofsky , Paul Omelchenko , Bret Heinrich , Manuel Rojas , Erol Girt

Diffusive transport is a ubiquitous phenomenon, yet the microscopic origin of diffusion in interacting physical systems remains a challenging question, irrespective of whether quantum effects are dominant or not. In this work, we study…

Statistical Mechanics · Physics 2026-04-28 Jiaozi Wang , Sourav Nandy , Markus Kraft , Tomaž Prosen , Robin Steinigeweg

We study the theoretical conditions to excite a stable self-oscillation in a spin torque oscillator with an in-plane magnetized free layer and a perpendicularly magnetized pinned layer in the presence of magnetic field pointing in an…

Mesoscale and Nanoscale Physics · Physics 2016-05-06 Tomohiro Taniguchi , Hitoshi Kubota

The magnetization dynamics of ferromagnets are often formulated in terms of the Landau-Lifshitz-Gilbert (LLG) equation. The reactive part of this equation describes the response of the magnetization in terms of effective fields, whereas the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Arne Brataas , Yaroslav Tserkovnyak , Gerrit E. W. Bauer

Current-driven magnetization dynamics in ferromagnetic metals are studied in a self-consistent adiabatic local-density approximation in the presence of spin-conserving and spin-dephasing impurity scattering. Based on a quantum kinetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yaroslav Tserkovnyak , Hans Joakim Skadsem , Arne Brataas , Gerrit E. W. Bauer

We present a method to approximately solve general instances of combinatorial optimization problems using the physical dynamics of 3d rotors obeying Landau-Lifshitz-Gilbert dynamics. Conventional techniques to solve discrete optimization…

Disordered Systems and Neural Networks · Physics 2025-04-29 Dairong Chen , Andrew D. Kent , Dries Sels , Flaviano Morone

We derive a continuum equation for the magnetization of a conducting ferromagnet in the presence of a spin-polarized current. Current effects enter in the form of a topological term in the Landau-Lifshitz equation . In the stationary…

Materials Science · Physics 2009-10-30 Ya. B. Bazaliy , B. A. Jones , Shou-Cheng Zhang

The self-consistent spin-wave theory is applied to investigate the magnetization distribution around the impurity in isotropic and easy-axis two-dimensional ferro- and antiferromagents. The temperature dependences of host magnetization…

Condensed Matter · Physics 2011-07-22 V. Yu. Irkhin , A. A. Katanin , M. I. Katsnelson

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

We give a survey on some recent results concerning the Landau-Lifshitz equation, a fundamental nonlinear PDE with a strong geometric content, describing the dynamics of the magnetization in ferromagnetic materials. We revisit the Cauchy…

Analysis of PDEs · Mathematics 2021-06-24 André de Laire

In the paper a self-consistent theoretical description of the lattice and magnetic properties of a model system with magnetoelastic interaction is presented. The dependence of magnetic exchange integrals on the distance between interacting…

Statistical Mechanics · Physics 2016-12-07 T. Balcerzak , K. Szałowski , M. Jaščur

Current-induced magnetization dynamics in a trilayer structure composed of two ferromagnetic free layers and a nonmagnetic spacer is examined. Both free layers are treated as a monodomain magnetic body with an uniform agnetization. The…

Materials Science · Physics 2009-11-11 Kiwamu Kudo , Rie Sato , Koichi Mizushima

We consider a multiscale strategy addressing the disparate scales in the Landau-Lifschitz equations in micro-magnetism. At the microscopic scale, the dynamics of magnetic moments are driven by a high frequency field. On the macroscopic…

Numerical Analysis · Mathematics 2017-03-16 Doghonay Arjmand , Stefan Engblom , Gunilla Kreiss

The Landau-Lifshitz (L-L) equation describing the time dependence of the magnetisation vector is numerically integrated fully without any simplifying assumptions in the time domain and the magnetisation time series obtained is Fourier…

Materials Science · Physics 2009-09-25 C. Tannous , A. Fessant , J. Gieraltowski , J. P. Jay , D. Spenato , J. Langlois , H. Le Gall

In conventional micromagnetism magnetic domain configurations are calculated based on a continuum theory for the magnetization which is assumed to be of constant length in time and space. Dynamics is usually described with the…

Materials Science · Physics 2008-05-05 O. Chubykalo-Fesenko , U. Nowak , R. W. Chantrell , D. Garanin

The aim of this work is to present the details of the finite element approach we developed for solving the Landau-Lifschitz-Gilbert equations in order to be able to treat problems involving complex geometries. There are several…

Other Condensed Matter · Physics 2008-03-31 Helga Szambolics , Liliana-Daniela Buda , Jean-Christophe Toussaint , Olivier Fruchart

The field of spin hydrodynamics aims to describe magnetization dynamics from a fluid perspective. For ferromagnetic materials, there is an exact mapping between the Landau-Lifshitz equation and a set of dispersive hydrodynamic equations.…

Mesoscale and Nanoscale Physics · Physics 2019-09-13 Ezio Iacocca , Mark A. Hoefer

Non-damped oscillations of the magnetization vector of a ferromagnetic system subject to a spin polarized current and an external magnetic field are studied theoretically by solving the Landau-Lifshitz-Gilbert equation. It is shown that the…

Materials Science · Physics 2007-05-23 P. M. Gorley , P. P. Horley , V. K. Dugaev , J. Barnas , V. R. Vieira