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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

We study the effect of an elliptically polarized magnetic field on a system of non-interacting, single-domain ferromagnetic nanoparticles characterized by a uniform distribution of easy axis directions. Our main goal is to determine the…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 S. I. Denisov , T. V. Lyutyy , B. O. Pedchenko , O. M. Hryshko

A tensor form of phenomenological damping is derived for small magnetization motions. This form reflects basic physical relaxation processes for a general uniformly magnetized particle or film. Scalar Landau-Lifshitz damping is found to…

Statistical Mechanics · Physics 2009-11-07 Vladimir L. Safonov

We calculate the magnetization of a two-dimensional superconductor in a perpendicular magnetic field near its Kosterlitz-Thouless transition and at lower temperatures. We find that the critical behavior is more complex than assumed in the…

Superconductivity · Physics 2013-05-29 Vadim Oganesyan , David A. Huse , S. L. Sondhi

Micromagnetics simulation based on the classical Landau-Lifshitz-Gilbert (LLG) equation has long been a powerful method for modeling magnetization dynamics and reversal of three-dimensional (3D) magnets. For two-dimensional (2D) magnets,…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 Essa M. Ibrahim , Shufeng Zhang

Using a Ginzburg-Landau model, we study the phase transition behavior of compressible Ising systems at constant volume by varying the temperature $T$ and the applied magnetic field $h$. We show that two phases can coexist macroscopically in…

Materials Science · Physics 2009-11-13 Akira Onuki , Akihiko Minami

Using an effective Hamiltonian including the Zeeman and internal interactions, we describe the quantum theory of magnetization dynamics when the spin system evolves non-adiabatically and out of equilibrium. The Lewis-Riesenfeld dynamical…

Other Condensed Matter · Physics 2008-11-26 F. M. Saradzhev , F. C. Khanna , Sang Pyo Kim , M. de Montigny

Switching magnetization in a perpendicular magnetic tunnel junction (pMTJ) via voltage controlled magnetic anisotropy (VCMA) has shown the potential to markedly reduce the switching energy. However, the requirement of an external magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-05-18 Jiefang Deng , Gengchiau Liang , Gaurav Gupta

To describe and simulate dynamic micromagnetic phenomena, we consider a coupled system of the nonlinear Landau-Lifshitz-Gilbert equation and the conservation of momentum equation. This coupling allows to include magnetostrictive effects…

Numerical Analysis · Mathematics 2014-12-10 L'ubomir Banas , Marcus Page , Dirk Praetorius , Jonathan Rochat

This article addresses a problem of micromagnetics: the reversal of magnetic moments in layered spring magnets. A one-dimensional model is used of a film consisting of several atomic layers of a soft material on top of several atomic layers…

Dynamical Systems · Mathematics 2025-10-20 J. Samuel Jiang , Hans G. Kaper , Gary K. Leaf

We investigate the effect of a magnetic field supported at a single lattice site on the low-energy spectrum of the ferromagnetic Heisenberg XXZ chain. Such fields, caused by impurities, can modify the low-energy spectrum significantly by…

Mathematical Physics · Physics 2009-11-07 Pierluigi Contucci , Bruno Nachtergaele , Wolfgang L. Spitzer

The small-scale dynamo is typically studied by assuming that the correlation time of the velocity field is zero. Some authors have used a smooth renovating flow model to study how the properties of the dynamo are affected by the correlation…

Astrophysics of Galaxies · Physics 2024-05-01 Kishore Gopalakrishnan , Nishant K Singh

As of now, the phenomenological classical Landau-Lifshitz (LL) damping of magnetic order is not conceptually linked to the quantum theory of dissipation of the Lindbladian formalism which is unsatisfactory for the booming research on…

Strongly Correlated Electrons · Physics 2025-10-24 Götz S. Uhrig

The ground state magnetization process of the S=1 antiferromagnetic chain with the easy-axis single-ion anisotropy described by negative $D$ is investigated. It is numerically found that a phase transition between two different gapless…

Statistical Mechanics · Physics 2009-10-31 Toru Sakai

We study dynamical and thermal effects that are induced in nanoparticle systems by a rotating magnetic field. Using the deterministic Landau-Lifshitz equation and appropriate rotating coordinate systems, we derive the equations that…

Statistical Mechanics · Physics 2016-08-16 S. I. Denisov , T. V. Lyutyy , P. Hänggi , K. N. Trohidou

A theory of the magnetic field driven (semi-)metal-insulator phase transition is developed for planar systems with a low density of carriers and a linear (i.e., relativistic like) dispersion relation for low energy quasiparticles. The…

Condensed Matter · Physics 2009-11-07 E. V. Gorbar , V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

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

In magnetic films driven by spin-polarized currents, the perpendicular-to-plane anisotropy is equivalent to breaking the time translation symmetry, i.e., to a parametric pumping. In this work, we numerically study those current-driven…

Adaptation and Self-Organizing Systems · Physics 2021-01-14 Mónica A. García-Ñustes , Fernando R. Humire , Alejandro O. Leon

The stability of the magnetization $m=1/3$ plateau phase of the XXZ spin-1/2 Heisenberg chain with competing interactions is investigated upon switching on a staggered transverse magnetic field. Within a bosonization approach, it is shown…

Strongly Correlated Electrons · Physics 2009-11-10 P. Lecheminant , E. Orignac

Based on the micromagnetic simulations the magnetization switching in a triangle magnetic element by voltage-control of magnetic anisotropy and Dzyaloshinskii-Moriya interaction under in-plane magnetic field is proposed. The proposed…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Hiroshi Imamura , Takayuki Nozaki , Shinji Yuasa , Yoshishige Suzuki