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In this paper we use the language of real meromorphic differentials from the theory of Klein surfaces to describe the metastable states of multiply connected planar ferromagnetic nanoelements which minimize the exchange energy and have no…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 Andrei Bogatyrev

Magnetic vortices in soft ferromagnetic nano-disks have been extensively studied for at least several decades both for their fundamental (as a "live" macroscopic realization of a field theory model of an elementary particle) as well as…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Konstantin L. Metlov

We develop and validate a computational approach to nanomagnets. It is built on the spin wave approximation to a Heisenberg ferromagnet whose parameters can be calculated from a first principles theory (e.g. density functional theory). The…

Materials Science · Physics 2009-11-13 Michael McGuigan , James Davenport , James Glimm

Recently experimental techniques, such as magnetic force microscopy (MFM), have enabled the magnetic state of individual sub-micron particles to be resolved. Motivated by these experimental developments, we use Monte Carlo simulations of…

Condensed Matter · Physics 2009-10-28 Howard L. Richards , Scott W. Sides , Mark A. Novotny , Per Arne Rikvold

In the first of two articles, we present here a novel mesoscopic micromagnetic approach for simulating materials composed of ferromagnetic and antiferromagnetic phases. Starting with the atomistic modeling of quasi one-dimensional systems,…

Materials Science · Physics 2023-10-02 Sergey Erokhin , Dmitry Berkov , Andreas Michels

We present a microscopic theory for magnetization relaxation in metallic ferromagnets of nanoscopic dimensions that is based on the dynamic spin response matrix in the presence of spin-orbit coupling. Our approach allows the calculation of…

Mesoscale and Nanoscale Physics · Physics 2015-02-10 A. T. Costa , R. B. Muniz

Precise modeling of the magnetization dynamics of nanoparticles with finite size effects at fast varying temperatures is a computationally challenging task. Based on the Landau-Lifshitz-Bloch (LLB) equation we derive a coarse grained model…

Materials Science · Physics 2019-08-07 Christoph Vogler , Claas Abert , Florian Bruckner , Dieter Suess

Slow magnetic relaxation and two level fluctuations measurements under high current injection is performed in single-contacted ferromagnetic nanostructures. The magnetic configurations of the samples are described by two metastable states…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. -E. Wegrowe

Numerical integration of a stochastic Landau-Lifshitz-Gilbert equation is used to study dynamic processes in single-domain nanoscale magnets at nonzero temperatures. Special attention is given to including thermal fluctuations as a Langevin…

Materials Science · Physics 2009-10-31 Gregory Brown , M. A. Novotny , Per Arne Rikvold

Magnetic nanoparticles are useful biological probes as well as therapeutic agents. There have been several approaches used to model nanoparticle magnetization dynamics for both Brownian as well as N\'eel rotation. The magnetizations are…

Mesoscale and Nanoscale Physics · Physics 2015-05-12 Daniel B. Reeves , John B. Weaver

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 polarization properties of a magnetophotonic crystal at the frequencies located in the vicinity of ferromagnetic resonance are studied. The investigations are curried out taking into consideration the fact that the magnitude of material…

Optics · Physics 2010-11-17 Vladimir R. Tuz , Mikhail Yu. Vidil , Sergey L. Prosvirnin

We consider the numerical approximation of a continuum model of antiferromagnetic and ferrimagnetic materials. The state of the material is described in terms of two unit-length vector fields, which can be interpreted as the magnetizations…

Numerical Analysis · Mathematics 2023-12-11 Hywel Normington , Michele Ruggeri

We consider a small metallic particle (quantum dot) where ferromagnetism arises as a consequence of Stoner instability. When the particle is connected to electrodes, exchange of electrons between the particle and the electrodes leads to a…

Mesoscale and Nanoscale Physics · Physics 2009-03-30 D. M. Basko , M. G. Vavilov

A well-known connection between the magnetic susceptibility and the effective exchange parameter is analyzed. It is shown that all current computational schemes use a long-wave approximation which is suitable only for localized moments…

Strongly Correlated Electrons · Physics 2009-11-07 V. P. Antropov

Understanding the dynamics of magnetic vortices has emerged as an important challenge regarding the recent development of spin-torque vortex oscillators. Either micromagnetic simulations or the analytical Thiele equation approach are…

Mesoscale and Nanoscale Physics · Physics 2023-11-23 Simon De Wergifosse , Chloé Chopin , Flavio Abreu Araujo

The deterministic Landau-Lifshitz-Gilbert equation has been used to investigate the nonlinear dynamics of magnetization and the specific loss power in magnetic nanoparticles with uniaxial anisotropy driven by a rotating magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2012-12-13 I. Nandori , J. Racz

The magnetostatic energy is calculated for a magnetic vortex in a noncircular elliptical nanodisk. It is well-known that the energy of a vortex in the circular disk is minimized though an ansatz that eliminates the magnetostatic charge at…

Materials Science · Physics 2017-04-05 C. E. Zaspel

An efficient method for the calculation of ferromagnetic resonant modes of magnetic structures is presented. Finite-element discretization allows flexible geometries and location dependent material parameters. The resonant modes can be used…

Computational Physics · Physics 2018-12-26 Florian Bruckner , Massimiliano d'Aquino , Claudio Serpico , Claas Abert , Christoph Vogler , Dieter Suess

We consider the Ginzburg-Landau functional, defined on a two-dimensional simply connected domain with smooth boundary, in the situation when the applied magnetic field is piecewise constant with a jump discontinuity along a smooth curve. In…

Analysis of PDEs · Mathematics 2017-09-29 Wafaa Assaad , Ayman Kachmar , Mikael Persson-Sundqvist