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Flexible ferromagnetic rings are spin-chain magnets, in which the magnetic and mechanical subsystems are coupled. The coupling is achieved through the tangentially oriented anisotropy axis. The possibility to operate the mechanics of the…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Yuri Gaididei , Kostiantyn V. Yershov , Denis D. Sheka , Volodymyr P. Kravchuk , Avadh Saxena

We study the behaviour of the magnetization vector field in a thin ferromagnetic film in the presence of an external in-plane constant magnetic field. We work on a specific thin-film regime where boundary vortices dominate the energy and…

Analysis of PDEs · Mathematics 2025-07-22 Khalida Awashra , Matthias Kurzke

A two-dimensional easy-plane ferromagnetic substrate, interacting with a dipolar tip which is magnetised perpendicular with respect to the easy plane is studied numerically by solving the Landau-Lifshitz Gilbert equation. The dipolar tip…

Mesoscale and Nanoscale Physics · Physics 2013-12-02 Martin P. Magiera

We study in this paper the possible occurrence of orbital magnetim for two-dimensional electrons confined by a harmonic potential in various regimes of temperature and magnetic field. Standard coherent state families are used for…

Statistical Mechanics · Physics 2009-11-07 J. P. Gazeau , P. Y. Hsiao , A. Jellal

A simple approach allowing to construct closed-form analytical zero-field magnetization distributions in cylindrical particles of a small thickness and an arbitrary shape (not necessarily circular) is presented. The approach is based on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Konstantin L. Metlov

The magnetic vortex core in a nanodot can be switched by an alternating transversal magnetic field. We propose a simple collective coordinate model which describes comprehensive vortex core dynamics, including resonant behavior, weakly…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 Oleksandr V. Pylypovskyi , Denis D. Sheka , Volodymyr P. Kravchuk , Yuri Gaididei , Franz G. Mertens

We investigate the magnetization dynamics of a conducting magnetic nanoparticle weakly coupled to source and drain electrodes, under the assumption that all relaxation comes from exchange of electrons with the electrodes. The magnetization…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xavier Waintal , Piet W. Brouwer

This article introduces a new numerical method for the minimization under constraints of a discrete energy modeling multicomponents rotating Bose-Einstein condensates in the regime of strong confinement and with rotation. Moreover, we…

Analysis of PDEs · Mathematics 2024-04-17 Guillaume Dujardin , Ingrid Lacroix-Violet , Anthony Nahas

We introduce a hybrid quantum-classical variational algorithm to simulate ground-state phase diagrams of frustrated quantum spin models in the thermodynamic limit. The method is based on a cluster-Gutzwiller ansatz where the wave function…

Quantum Physics · Physics 2022-12-14 Daniel Huerga

We study the dynamics of flat circular permalloy nanomagnets for 1.) magnetic vortex and 2.) single-domain configurations, using micromagnetic simulation. Dynamical studies for isolated vortex structures show that both the vorticity and the…

Materials Science · Physics 2009-11-10 A. Killinger , R. Höllinger , U. Krey

We investigate variational problems in large-strain magnetoelasticity, both in the static and in the quasistatic setting. The model contemplates a mixed Eulerian-Lagrangian formulation: while deformations are defined on the reference…

Analysis of PDEs · Mathematics 2025-07-22 Marco Bresciani , Elisa Davoli , Martin Kružík

We develop a general framework, which combines exact diagonalization in small clusters with a density matrix variational principle, to study frustrated magnets at finite temperature. This thermodynamic hierarchical mean-field technique is…

Strongly Correlated Electrons · Physics 2012-10-05 L. Isaev , G. Ortiz

The numerical solution of problems in nonlinear magnetostatics is typically based on a variational formulation in terms of magnetic potentials, the discretization by finite elements, and iterative solvers like the Newton method. The vector…

Numerical Analysis · Mathematics 2024-05-03 Herbert Egger , Felix Engertsberger , Bogdan Radu

We investigate fundamental processes that govern dynamics of vortex nucleation in sub-100 nm mesoscopic magnets. We focus on a structure with broken symmetry - Pacman-like nanomagnet shape - in which we study micromagnetic behavior both by…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Jaroslav Tobik , Vladimir Cambel , Goran Karapetrov

The two-electron reduced density matrix (2RDM) carries enough information to evaluate the electronic energy of a many-electron system. The variational 2RDM (v2RDM) approach seeks to determine the 2RDM directly, without knowledge of the wave…

Chemical Physics · Physics 2023-12-19 A. Eugene DePrince

We study the slow phase of thermally activated magnetic relaxation in finite two-dimensional ensembles of dipolar interacting ferromagnetic nanoparticles whose easy axes of magnetization are perpendicular to the distribution plane. We…

Condensed Matter · Physics 2009-11-10 S. I. Denisov , T. V. Lyutyy , K. N. Trohidou

The large arrays of magnetic dots are the building blocks of magnonic crystals and the emerging bit patterned media for future recording technology. In order to fully utilize the functionalities of high density magnetic nanodots, a method…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Mehrdad Elyasi , Charanjit S. Bhatia , Hyunsoo Yang

We consider almost minimizers to the thin-one phase energy functional and we prove optimal regularity of the solution and partial regularity of the free boundary. We thus recover the theory for energy minimizers. Our methods are based on a…

Analysis of PDEs · Mathematics 2018-12-10 Daniela De Silva , Ovidiu Savin

Understanding the nonlinear dynamics of magnetic vortices in spin-torque vortex oscillators (STVOs) is essential for their application in neuromorphic computing. Conventional modeling approaches either rely on the standard Thiele equation,…

Mesoscale and Nanoscale Physics · Physics 2025-10-20 Colin Ducarme , Simon De Wergifosse , Flavio Abreu Araujo

We have studied two nanomagnet systems with strong (Co/Pd multilayers) and weak (NdCo alloy films) stray magnetic fields by probing the out-of-plane magnetic states with superconducting vortices. The hybrid samples are made of array of…