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The linear response of itinerant transition metal ferromagnets to transverse magnetic fields is studied in a self-consistent adiabatic local-density approximation. The susceptibility is calculated from a microscopic Hamiltonian, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Hans Joakim Skadsem , Yaroslav Tserkovnyak , Arne Brataas , Gerrit E. W. Bauer

The Landau-Lifshitz-Gilbert (LLG) equation is widely used to describe magnetization dynamics. We develop a unified framework of the microscopic LLG equation based on the nonequilibrium Green's function formalism. We present a unified…

Mesoscale and Nanoscale Physics · Physics 2023-10-16 Fuming Xu , Gaoyang Li , Jian Chen , Zhizhou Yu , Lei Zhang , Baigeng Wang , Jian Wang

Magnetism primarily describes the physics and materials science of systems presenting a magnetization -- a macroscopic order parameter characterizing electron angular momentum. The order parameter is associated with the electronic exchange…

Mesoscale and Nanoscale Physics · Physics 2018-10-11 Andrew D. Kent , Hendrik Ohldag , Herrmann Dürr , Jonathan Z. Sun

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 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

. The inertia property of matter is discussed in terms of a type of induction law related to the extended charged particle's own vector potential. Our approach is based on the Lagrangian formalism of canonical momentum writing Newton's…

Classical Physics · Physics 2009-11-13 Alexandre A. Martins , Mario J. Pinheiro

A keen interest towards technological implications of spin-orbit driven magnetization dynamics requests a proper theoretical description, especially in the context of a microscopic framework, to be developed. Indeed, magnetization dynamics…

Mesoscale and Nanoscale Physics · Physics 2018-11-22 Anastasiia A. Pervishko , Mikhail I. Baglai , Olle Eriksson , Dmitry Yudin

We solve appropriate drift-diffusion and Landau-Lifshitz-Gilbert equations to demonstrate that unpolarized current flow from a non-magnet into a ferromagnet can produce a precession-type instability of the magnetization. The fundamental…

Materials Science · Physics 2009-11-10 M. D. Stiles , Jiang Xiao , A. Zangwill

The field theoretical description of the general relativity (GR) is further developed. The action for the gravitational field and its sources is given explicitely. The equations of motion and the energy-momentum tensor for the gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. V. Babak , L. P. Grishchuk

Ferromagnetic magnetohydrodynamics concerns the study of conducting fluids with intrinsic magnetisation under the influence of a magnetic field. It is a generalisation of the magnetohydrodynamical equations and takes into account the…

Analysis of PDEs · Mathematics 2024-12-09 Noah Vinod , Thanh Tran

The Landau-Lifshitz equation is a coupled set of nonlinear partial differential equations that describes the dynamics of magnetization in a ferromagnet. This equation has an infinite number of stable equilibria. Steering the system from one…

Analysis of PDEs · Mathematics 2016-05-31 Amenda Chow , Kirsten A. Morris

We formulate a phenomenological description of thin ferromagnetic layers with inversion asymmetry where the single-domain magnetic dynamics experiences magnon current-induced torques and leads to magnon-motive forces. We first construct a…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 Alexey A. Kovalev , Utkan Güngördü

Metallic ferromagnets subjected to a temperature gradient exhibit a magnonic drag of the electric current. We address this problem by solving a stochastic Landau-Lifshitz equation to calculate the magnon-drag thermopower. The…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Benedetta Flebus , Rembert A. Duine , Yaroslav Tserkovnyak

To give a general description of the influences of electric fields or currents on magnetization dynamics, we developed a semiclassical theory for the magnetization implicitly coupled to electronic degrees of freedom. In the absence of…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 Bangguo Xiong , Hua Chen , Xiao Li , Qian Niu

The equations of motion for electromechanical systems are traced back to the fundamental Lagrangian of particles and electromagnetic fields, via the Darwin Lagrangian. When dissipative forces can be neglected the systems are conservative…

Classical Physics · Physics 2009-11-13 Hanno Essen

We consider the coupled system of the Landau--Lifshitz--Gilbert equation and the conservation of linear momentum law to describe magnetic processes in ferromagnetic materials including magnetoelastic effects in the small-strain regime. For…

Numerical Analysis · Mathematics 2025-01-15 Hywel Normington , Michele Ruggeri

It is argued that there is a connection between the fundamental forces of electromagnetism and gravitation. This connection occurs because of: 1) the fundamental significance of the finite and invariant velocity of light in inertial…

General Physics · Physics 2007-05-23 D. M. Snyder

The Landau--Lifshitz--Gilbert equations for the evolution of the magnetization, in presence of an external torque, can be cast in the form of the Lorenz equations and, thus, can describe chaotic fluctuations. To study quantum effects, we…

Quantum Physics · Physics 2015-04-24 Julien Tranchida , Pascal Thibaudeau , Stam Nicolis

Gravito-electromagnetism is somewhat ubiquitous in relativity. In fact, there are many situations where the effects of gravitation can be described by formally introducing "gravito-electric" and "gravito-magnetic" fields, starting from the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Matteo Luca Ruggiero

A version of extended magnetohydrodynamics (MHD) that incorporates electron inertia is obtained by constructing an action principle. Unlike MHD which freezes in magnetic flux, the present theory freezes in an alternative flux related to the…

Plasma Physics · Physics 2015-04-01 M. Lingam , P. J. Morrison , E. Tassi