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Topological magnetic skyrmions in centrosymmetric systems exhibit a higher degrees of freedom in their helicity, hence possess a great potential in the advanced spintronics including skyrmion based quantum computation. However, the…

The phase diagram of cubic helimagnets near the critical temperature is obtained from a Landau-Ginzburg model, including fluctuations to gaussian level. The free energy is evaluated via a saddle point expansion around the local minima of…

Strongly Correlated Electrons · Physics 2018-12-12 Victor Laliena , German Albalate , Javier Campo

Curvilinear nanomagnets can support magnetic skyrmions stabilized at a local curvature without any intrinsic chiral interactions. Here, we propose a new mechanism to stabilize chiral N\'{e}el skyrmion states relying on the \textit{gradient}…

Mesoscale and Nanoscale Physics · Physics 2019-01-02 Oleksandr V. Pylypovskyi , Denys Makarov , Volodymyr P. Kravchuk , Yuri Gaididei , Avadh Saxena , Denis D. Sheka

The problem of diamagnetism, solved by Landau, continues to pose fascinating issues which have relevance even today. These issues relate to inherent quantum nature of the problem, the role of boundary and dissipation, the meaning of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Dattagupta , A. M. Jayannavar , N. Kumar

We construct the general free energy governing long-wavelength magnetism in two-dimensional oxide heterostructures, which applies irrespective of the microscopic mechanism for magnetism. This leads, in the relevant regime of weak but…

Strongly Correlated Electrons · Physics 2014-02-14 Xiaopeng Li , W. Vincent Liu , Leon Balents

We address the physical mechanism responsible for the emergence of magnetization plateaux in the Shastry-Sutherland model. By using a hierarchical mean-field approach we demonstrate that a plateau is stabilized in a certain {\it spin…

Strongly Correlated Electrons · Physics 2015-05-13 L. Isaev , G. Ortiz , J. Dukelsky

We consider the general Landau-Lifshitz-Gilbert theory underlying the magnetization dynamics of a macrospin magnet subject to spin-torque effects and thermal fluctuations. Thermally activated dynamical properties are analyzed by averaging…

Mesoscale and Nanoscale Physics · Physics 2013-10-07 Daniele Pinna , Andrew D. Kent , Daniel L. Stein

A skyrmion can be stabilized in a nanodisc geometry in a ferromagnetic material with Dzyaloshinskii-Moriya (DM) interaction. We apply spin torque uniform in space and time and observe numerically that the skyrmion is set in steady…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Naveen Sisodia , Stavros Komineas , Pranaba Kishor Muduli

The dynamics of magnetisation in a bounded ferromagnet in $\mathbb{R}^d$ ($d=1,2$) at high temperatures can be described by the stochastic Landau--Lifshitz--Bloch (sLLB) equation, which is a vector-valued quasilinear stochastic partial…

Numerical Analysis · Mathematics 2026-02-23 Agus L. Soenjaya

The emergence of a magnetic skyrmion crystal in a nonsymmorphic lattice system with the screw symmetry is numerically investigated. By performing the simulated annealing for a layered spin model with the isotropic exchange interaction and…

Strongly Correlated Electrons · Physics 2022-07-04 Satoru Hayami

Static and dynamic properties of magnetically soft amorphous ferromagnets have been studied analytically and numerically within random-field and random-anisotropy models. External field and coherent anisotropy that are weak compared to…

Materials Science · Physics 2025-02-14 Eugene M. Chudnovsky , Dmitry A. Garanin

Recently, it has been proposed a spacetime noncommutativity that involves spin degrees of freedom, here called "spin noncommutativity". One of the motivations for such a construction is that it preserves Lorentz invariance, which is…

High Energy Physics - Theory · Physics 2015-06-05 A. F. Ferrari , M. Gomes , V. G. Kupriyanov , C. A. Stechhahn

Magnetic systems are an exciting realm of study that is being explored on smaller and smaller scales. One extremely interesting magnetic state that has gained momentum in recent years is the skyrmionic state. It is characterized by a vortex…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Patrick Johnson , A K Gangopadhyay , Ramki Kalyanaraman , Zohar Nussinov

Time dependence of the size and chirality of a ferromagnetic skyrmion in a Heisenberg model with the magnetic field on a square lattice has been studied analytically and numerically. The lattice and the magnetic field generate strong time…

Mesoscale and Nanoscale Physics · Physics 2022-05-11 A. Derras-Chouk , E. M. Chudnovsky , D. A. Garanin

The uniform motion of chiral magnetic skyrmions induced by a spin-transfer torque displays an intricate dependence on the skyrmions' topological charge and shape. We reveal surprising patterns in this dependence through simulations of the…

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

We consider lambda and anisotropic deformations of the SU(2) principal chiral model and show how they can be quantized in the Hamiltonian formalism on a lattice as a suitable spin chain. The spin chain is related to the higher spin XXZ…

High Energy Physics - Theory · Physics 2018-09-26 Calan Appadu , Timothy J. Hollowood , Dafydd Price , Daniel C. Thompson

We study localized two- and three-dimensional Langmuir solitons in the framework of model based on generalized nonlinear Schr\"odinger equation that accounts for local and nonlocal contributions to electron-electron nonlinearity. General…

Space Physics · Physics 2007-05-23 T. A. Davydova , A. I. Yakimenko , Yu. A. Zaliznyak

In chiral magnets, localized topological magnetic whirls, magnetic skyrmions, can be moved by spin polarized electric currents. Upon increasing the current strength, with prospects for high-speed skyrmion motion for spintronics applications…

Mesoscale and Nanoscale Physics · Physics 2020-06-22 Jan Masell , Davi R. Rodrigues , Ben F. McKeever , Karin Everschor-Sitte

We investigate saddle point configurations in spherical ferromagnets with perpendicular anisotropy. These are modeled by a micromagnetic energy functional on the unit sphere that leads to the emergence of the so-called curvature induced…

Analysis of PDEs · Mathematics 2025-10-22 Stephen Gustafson , Daniel Meinert , Christof Melcher