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Analytical multi-domain solutions to the dynamical (Landau-Lifshitz-Gilbert) equation of a one-dimensional ferromagnet including an external magnetic field and spin-polarized electric current are found using the Hirota bilinearization…

Mesoscale and Nanoscale Physics · Physics 2011-09-13 Andrzej Janutka

We consider a ferromagnetic nanowire, with an energy functional E with easy-axis in the direction $e_1$, and which takes into account the Dzyaloshinskii-Moriya interaction. We consider configurations of the magnetization which are…

Analysis of PDEs · Mathematics 2025-11-26 Raphaël Côte , Guillaume Ferriere

The control of magnetic domain walls is essential for the magnetic-based memory and logic applications. As an elementary excitation of magnetic order, spin wave is capable of moving magnetic domain walls just as the conducting electric…

Materials Science · Physics 2018-10-18 Weichao Yu , Jin Lan , Jiang Xiao

Domains walls and topological defects in ferroelectric materials have emerged as a powerful new paradigm for functional electronic devices including memory and logic. Similarly, wall interactions and dynamics underpin a broad range of…

The Dzyaloshinskii-Moriya interaction (DMI), which is essential for the stabilization of topologically non-trivial chiral magnetic textures such as skyrmions, is particularly strong in heterostructures of ultra-thin magnetic materials and…

Recent studies have shown that material structures, which lack structural inversion symmetry and have high spin-orbit coupling can exhibit chiral magnetic textures and skyrmions which could be a key component for next generation storage…

The in-plane orientation of the magnetization in the center of domain walls is measured in Co/Ir(111) as a function of Co thickness via scanning electron microscopy with polarization analysis. Uncapped, thermally evaporated cobalt on an…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Fabian Kloodt-Twesten , Susanne Kuhrau , Hans Peter Oepen , Robert Frömter

We report first principle numerical study of domain wall (DW) depinning in two-dimensional magnetic film, which is modeled by 2D random-field Ising system with the dipole-dipole interaction. We observe nonconventional activation-type motion…

Statistical Mechanics · Physics 2015-01-20 Bin Xi , Meng-Bo Luo , Valerii M. Vinokur , Xiao Hu

The interfacial Dzyaloshinskii-Moriya interaction (DMI) in the ferromagnetic/heavy metal ultra-thin film structures , has attracted a lot of attention thanks to its capability to stabilize Neel-type domain walls (DWs) and magnetic skyrmions…

Since the early 1960's, the discovery of Dzyaloshinskii-Moriya interaction (DMI) helped to explain the physical mechanisms behind certain magnetic phenomena, such as net moment in antiferromagnets, or enhanced anisotropy field from heavy…

Materials Science · Physics 2023-05-04 Albert Fert , Mairbek Chshiev , André Thiaville , Hongxin Yang

The motion of domain walls in ferromagnetic, cylindrical nanowires is investigated numerically by solving the Landau-Lifshitz-Gilbert equation for a classical spin model in which energy contributions from exchange, crystalline anisotropy,…

Condensed Matter · Physics 2009-11-10 R. Wieser , U. Nowak , K. D. Usadel

The Dzyaloshinskii-Moriya Interaction (DMI) has recently attracted considerable interest owing to its fundamental role in the stabilization of chiral spin textures in ultrathin ferromagnets, which are interesting candidates for future…

Curvilinear geometries in magnetic nanostructures provide a unique platform for exploring the interplay of symmetry, topology, and curvature in magnetization dynamics. In this work, we analytically study the static and dynamic properties of…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 Kostiantyn V. Yershov , Svitlana Kondovych , Denis D. Sheka

The current mediated domain-wall dynamics in a thin ferromagnetic wire is investigated. We derive the effective equations of motion of the domain wall. They are used to study the possibility to optimize the power supplied by electric…

Mesoscale and Nanoscale Physics · Physics 2011-03-25 Oleg A. Tretiakov , Y. Liu , Ar. Abanov

Dzyaloshinskii-Moriya interaction (DMI) is the primary mechanism for realizing real-space chiral spin textures, which are regarded as key components for the next-generation spintronics. However, DMI arises from a perturbation term of the…

Materials Science · Physics 2022-10-12 Fan Zhang , Xueao Li , Yabei Wu , Xiaolong Wang , Jijun Zhao , Weiwei Gao

The interfacial Dzyaloshinskii-Moriya interaction (DMI) in multilayers of heavy metal and ferromagnetic metals enables the stabilization of novel chiral spin structures such as skyrmions. Magnetic insulators, on the other hand can exhibit…

We consider an antiferromagnet in one space dimension with easy-axis anisotropy in a perpendicular magnetic field. We study propagating domain wall solutions that can have a velocity up to a maximum $v_c$. The width of the domain wall is a…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 George Theodorou , Stavros Komineas

Motivated by recent experimental polarized neutron results, we present a numerical micromagnetic study of the interfacial (intergrain) Dzyaloshinskii-Moriya interaction (DMI) in nanocrystalline terbium. We demonstrate that the DMI-induced…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 S. Erokhin , D. Berkov , A. Michels

We present an alternative mechanism to control the domain wall motion, whose directions are manipulated by the amplitude of electrical currents when modulating the ratio of D/A (constants of Dzyaloshinskii-Moriya interaction over exchange…

The Dzyaloshinskii Moriya interaction (DMI) generates intriguing chiral magnetic objects such as magnetic skyrmions and chiral domain walls that can be used as building blocks in emerging magnetic nanodevices. To achieve better stability…

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