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In Keplerian accretion disks, turbulence and magnetic fields may be jointly excited through a subcritical dynamo process involving the magnetorotational instability (MRI). High-resolution simulations exhibit a tendency towards statistical…

High Energy Astrophysical Phenomena · Physics 2017-02-08 A. Riols , F. Rincon , C. Cossu , G. Lesur , G. I. Ogilvie , P-Y. Longaretti

The magnetic exchange interaction is the one of the key factors governing the basic characteristics of magnetic systems. Unlike the symmetric nature of the Heisenberg exchange interaction, the interfacial Dzyaloshinskii-Moriya interaction…

We study the equilibrium and dynamical properties of skyrmions in thin films of chiral magnets with oblique magnetic field. The shape of an individual skyrmion is non-circular and the skyrmion density decreases with the tilt angle from the…

Materials Science · Physics 2015-11-11 Shi-Zeng Lin , Avadh Saxena

Magnetorotational instability (MRI) is one of the fundamental processes in astrophysics, driving angular momentum transport and mass accretion in a wide variety of cosmic objects. Despite much theoretical/numerical and experimental efforts…

Fluid Dynamics · Physics 2017-11-28 G. Mamatsashvili , F. Stefani , A. Guseva , M. Avila

We investigate linear dynamics of non-axisymmetric perturbations in incompressible, vertically stratified Keplerian discs with a weak vertical magnetic field in the shearing box approximation. Perturbations are decomposed into shearing…

Earth and Planetary Astrophysics · Physics 2015-06-16 G. R. Mamatsashvili , G. D. Chagelishvili , G. Bodo , P. Rossi

The dynamical scaling and ageing in the relaxational dynamics of the quenched directed spherical model is analysed. The exact two-time correlation and response functions display new regimes of ballistic or anisotropic ballistic scaling, at…

Statistical Mechanics · Physics 2023-10-31 Malte Henkel , Stoimen Stoimenov

The orientation of a chiral magnetic domain wall in a racetrack determines its dynamical properties. In equilibrium, magnetic domain walls are expected to be oriented perpendicular to the stripe axis. We demonstrate the appearance of a…

By introducing biquadratic together with usual bilinear ferromagnetic nearest neighbor exchange interaction in a square lattice, we find that the energy of the spin-wave mode is minimized at a finite wavevector for a vanishingly small…

Mesoscale and Nanoscale Physics · Physics 2021-06-22 Sandip Bera , Sudhansu S. Mandal

Magnetic skyrmions are topological spin textures promising for future high-density and nonvolatile memory. It is crucial to understand the current-driven skyrmion dynamics in the presence of deformation, of which an analytical model,…

Mesoscale and Nanoscale Physics · Physics 2022-01-13 Zehan Chen , Xichao Zhang , Yan Zhou , Qiming Shao

A two dimensional ferromagnetic XY model with its bound vortex-antivortex dominated quasi long range ordered phase at low temperatures is a long standing as well as well studied problem of interest in the field of condensed matter. We…

Strongly Correlated Electrons · Physics 2026-04-07 Rajdip Banerjee , Satyaki Kar

Magnetic skyrmions have been proposed as promising candidates for storing information due to their high stability and easy manipulation by spin-polarized currents. Here, we study how these properties are influenced by the interlayer…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Tim Matthies , Levente Rózsa , Roland Wiesendanger , Elena Y. Vedmedenko

We develop a theoretical and numerical framework for three-dimensional bulk chiral magnets that includes the full magnetostatic dipole-dipole interaction and its back-reaction on the magnetization. Assuming translational invariance along…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Paul Leask , Martin Speight

We present a micromagnetic theory of compact magnetic skyrmions under applied magnetic field that accounts for the full dipolar energy and the interfacial Dzyaloshinskii-Moryia interaction (DMI) in the thin film regime. Asymptotic analysis…

Materials Science · Physics 2024-06-18 Anne Bernand-Mantel , Anaïs Fondet , Sarah Barnova , Theresa M. Simon , Cyrill B. Muratov

The recent discovery of tunable Dzyaloshinskii-Moriya interactions in layered magnetic materials with perpendicular magnetic anisotropy makes them promising candidates for stabilization and manipulation of skyrmions at elevated…

Mesoscale and Nanoscale Physics · Physics 2015-12-17 Rick Keesman , A. O. Leonov , P. van Dieten , Stefan Buhrandt , G. T. Barkema , Lars Fritz , R. A. Duine

The magnetic properties of ferromagnetic thin films down to the nanoscale are ruled by the exchange stiffness, anisotropies and the effects of magnetic fields. As surfaces break inversion symmetry, an additional effective chiral exchange is…

The nonlinear evolution and the saturation mechanism of the magnetorotational instability (MRI) are investigated using three-dimensional resistive MHD simulations. A local shearing box is used for our numerical analysis and the simulations…

Astrophysics · Physics 2009-11-07 Takayoshi Sano , Shu-ichiro Inutsuka

Magnetic skyrmions are nano-sized topologically non-trivial spin textures that can be moved by external stimuli such as spin currents and internal stimuli such as spatial gradients of a material parameter. Since the total energy of a…

Mesoscale and Nanoscale Physics · Physics 2023-11-08 Ismael Ribeiro de Assis , Ingrid Mertig , Börge Göbel

We find numerically skyrmionic textures with skyrmion number Q=0 in ferromagnets with the Dzyaloshinskii-Moriya interaction and perpendicular anisotropy. These have the form of a skyrmion-antiskyrmion pair and may be called chiral droplets.…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Naveen Sisodia , Pranaba Kishor Muduli , Nikos Papanicolaou , Stavros Komineas

Ultrathin ferromagnets with frustrated exchange and the Dzyaloshinskii-Moriya interaction can support topological solitons such as skyrmions and antiskyrmions, which are metastable and can be considered particle-antiparticle counterparts.…

Mesoscale and Nanoscale Physics · Physics 2020-11-11 Ulrike Ritzmann , Louise Desplat , Bertrand Dupé , Robert E. Camley , Joo-Von Kim

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