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The Landau-Lifshitz-Gilbert (LLG) equations are widely used to study spin dynamics in Mott insulators. However, because energy dissipation is typically introduced phenomenologically, its validity for describing nonequilibrium processes and…

Strongly Correlated Electrons · Physics 2025-07-29 Rico Pohle , Yukitoshi Motome , Terumasa Tadano , Shintaro Hoshino

The dynamic susceptibility $\chi_{Q}^{zz}(\omega)$ of the isotropic XY-model (s=1/2) on the alternating superlattice (closed chain) in a transverse field $h$ is obtained exactly at arbitrary temperatures. It is determined from the results…

Statistical Mechanics · Physics 2007-05-23 J. P. de Lima , L. L. Goncalves

Magnetic systems can be described by the classical Landau-Lifshitz (LL) equation or the fully quantum open Heisenberg model. Using the Lindblad master equation and the mean-field approximation, we demonstrate that the open Heisenberg model…

Quantum Physics · Physics 2020-10-28 Ariel Norambuena , Andrés Franco , Raúl Coto

The motion of simple domain walls and of more complex magnetic textures in the presence of a transport current is described by the Landau-Lifshitz-Slonczewski (LLS) equations. Predictions of the LLS equations depend sensitively on the ratio…

Materials Science · Physics 2010-04-28 Ion Garate , K. Gilmore , M. D. Stiles , A. H. MacDonald

Coupled, dynamical spin-lattice models provide a unique test ground for simulations investigating the finite-temperature magnetic properties of materials under the direct influence of the lattice vibrations. These models are constructed by…

Statistical Mechanics · Physics 2016-12-28 Dilina Perera , Thomas Vogel , David P. Landau

Motivated by manipulating the magnetic order of bilayer CrI$_3$, we carry out microscopic calculations to find the magnetic order and various magnetic domains of the system in the presence of an electric field. Making use of density…

Materials Science · Physics 2022-06-17 Sahar Izadi Vishkay , Reza Asgari

Vortex rings are ubiquitous in fluids, with smoke rings being a familiar example. The interaction of multiple vortex rings produces complex dynamical behaviour, such as the leapfrogging motion first analysed by Helmholtz more than a century…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Antti J. Niemi , Paul Sutcliffe

Ferromagnetic materials tend to develop very complex magnetization patterns whose time evolution is modeled by the so-called Landau-Lifshitz-Gilbert equation (LLG). In this paper, we construct time-periodic solutions for LLG in the regime…

Analysis of PDEs · Mathematics 2010-06-25 Alexander Huber

A stochastic approach for the description of the time evolution of the magnetization of nanomagnets is proposed, that interpolates between the Landau-Lifshitz-Gilbert and the Landau-Lifshitz-Bloch approximations, by varying the strength of…

Statistical Mechanics · Physics 2016-07-07 Pascal Thibaudeau , Julien Tranchida , Stam Nicolis

We investigate dynamical fluctuations of transferred magnetization in the one-dimensional lattice Landau--Lifshitz magnet with uniaxial anisotropy, representing an emblematic model of interacting spins. We demonstrate that the structure of…

Statistical Mechanics · Physics 2022-03-08 Žiga Krajnik , Enej Ilievski , Tomaž Prosen

The magnetization dynamics of two parallelly coupled spin torque oscillators, destabilization of steady states and removal of multistability, are investigated by taking into account the influence of field-like torque. It is shown that the…

Adaptation and Self-Organizing Systems · Physics 2023-07-19 R. Arun , R. Gopal , V. K. Chandrasekar , M. Lakshmanan

A phenomenological equation called Landau-Lifshitz-Baryakhtar (LLBar) equation, which could be viewed as the combination of Landau-Lifshitz (LL) equation and an extra "exchange damping" term, was derived by Baryakhtar using Onsager's…

While the ground state of magnetic materials is in general well described on the basis of spin density functional theory (SDFT), the theoretical description of finite-temperature and non-equilibrium properties require an extension beyond…

Materials Science · Physics 2022-06-22 Sergiy Mankovsky , Hubert Ebert

By applying a variational principle on a magnetic system within the framework of extended irreversible thermodynamics, we find that the presence of a temperature gradient in a ferromagnet leads to a generalisation of the Landau-Lifshitz…

Materials Science · Physics 2015-10-12 Sylvain D. Brechet , Jean-Philippe Ansermet

It is commonly assumed in spintronics and magnonics that localized spins within antiferromagnets are in the N\'{e}el ground state (GS), as well as that such state evolves, when pushed out of equilibrium by current or external fields,…

Strongly Correlated Electrons · Physics 2024-05-29 Federico Garcia-Gaitan , Branislav K. Nikolic

The Landau-Lifshitz-Gilbert (LLG) equation, used to model magneto-dynamics in ferromagnets, tacitly assumes that the angular momentum associated with spin precession can relax instantaneously when the real or effective magnetic field…

Mesoscale and Nanoscale Physics · Physics 2021-07-20 Rahnuma Rahman , Supriyo Bandyopadhyay

We present a generalized potential theory of nonequilibrium torques for the Landau-Lifshitz equation. The general formulation of exchange forces in terms of two potential energies allows for the implementation of accurate machine learning…

Mesoscale and Nanoscale Physics · Physics 2023-03-21 Puhan Zhang , Gia-Wei Chern

The usefulness of modeling magnetocaloric materials expands from the understanding of their behavior to the prediction of new materials, playing a fundamental role in the optimization of their performance. In contrast with other areas of…

In this paper we apply an extended Landau-Lifschitz equation, as introduced by Ba\v{n}as et al. for the simulation of heat-assisted magnetic recording. This equation has similarities with the Landau-Lifshitz-Bloch equation. The Ba\v{n}as…

Computational Physics · Physics 2017-06-28 Harald Oezelt , Alexander Kovacs , Johann Fischbacher , Simon Bance , Mark Gubbins , Thomas Schrefl

Crystallographic lattice defects strongly influence dynamical properties of magnetic materials at both microscopic and macroscopic length scales. A multi-scale approach to magnetisation dynamics, which is presented in this paper, accurately…

Materials Science · Physics 2020-02-05 É. Méndez , M. Poluektov , G. Kreiss , O. Eriksson , M. Pereiro