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We study static solutions of the Skyrme model on the two-sphere of radius L, for various choices of potential. The high-density Skyrmion phase corresponds to the ratio beta=L/(size of Skyrmion) being small, whereas the low-density phase…

High Energy Physics - Theory · Physics 2009-11-07 M. de Innocentis , R. S. Ward

We propose a mechanism to control the motion of magnetic Skyrmions through the generation of a Skyrmion number current. This current is induced and tuned by an explicitly time-dependent Hamiltonian that includes a Zeeman term arising from…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Emir Syahreza Fadhilla , M Shoufie Ukhtary , Ardian Nata Atmaja , Bobby Eka Gunara

The skyrmion number density, $q\equiv\vec{n}\cdot\left(\partial_x\vec{n}\times\partial_y\vec{n}\right)/(4\pi)$, is one of the key quantities that characterizes the topological properties of a magnetic skyrmion. In this work, we propose a…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Emir Syahreza Fadhilla , M Shoufie Ukhtary , Ardian Nata Atmaja , Bobby Eka Gunara

We study the unstable modes of the baryon number two hedgehog of the Skyrme model on a three dimensional spatial lattice. An expansion of the Skyrme Lagrangian around the hedgehog configuration provides the equations of motion for the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas Waindzoch , Jochen Wambach

Scattering phase shifts of a meson-meson system in staggered 3-dimensional lattice QED are computed. The main task of the simulation is to obtain a discrete set of two-body energy levels. These are extracted from a 4-point time correlation…

High Energy Physics - Lattice · Physics 2009-10-22 H. R. Fiebig , R. M. Woloshyn

The dynamics of a baby skyrmion configuration, in a model Landau-Lifshitz equation, was studied in the presence of various potential obstructions. The baby skyrmion configuration was constructed from two Q=1 hedgehog solutions to the baby…

Pattern Formation and Solitons · Physics 2009-04-17 J. C. Collins , W. J. Zakrzewski

We exhibit the dynamical scattering of multi-solitons in the Skyrme model for configurations with charge two, three and four. First, we construct maximally attractive configurations from a simple profile function and the product ansatz.…

High Energy Physics - Theory · Physics 2009-10-30 Richard Battye , Paul Sutcliffe

We propose a novel binary and quaternary memory device based upon skyrmion states induced by the oblique field in a square magnetic island. To describe stable states and dynamics of the skyrmion, we employ the lattice model that uses the…

Materials Science · Physics 2025-02-17 Daniel Capic , Dmitry A. Garanin , Eugene M. Chudnovsky

We derive an effective Hamiltonian system describing the low energy dynamics of circular magnetic skyrmions and antiskyrmions. Using scaling and symmetry arguments we model (anti-)skyrmion dynamics through a finite set of coupled,…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 B. F. McKeever , D. R. Rodrigues , D. Pinna , Ar. Abanov , Jairo Sinova , K. Everschor-Sitte

We explore the hadron properties in dense baryonic matter in a unified way by using a Skyrme model constructed with an effective Lagrangian which includes the $\rho$ and $\omega$ vector mesons as hidden gauge bosons and is valid up to…

High Energy Physics - Phenomenology · Physics 2015-06-18 Yong-Liang Ma , Masayasu Harada , Hyun Kyu Lee , Yongseok Oh , Mannque Rho

We study the Skyrmion dynamics in thin films under a temperature gradient. Our numerical simulations show that both single and multiple Skyrmions in a crystal move towards the high temperature region, which is contrary to particle…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Lingyao Kong , Jiadong Zang

We discuss the scattering of high-energy magnons off a single magnetic skyrmion within the field-polarized ground state of a two-dimensional chiral magnet. For wavevectors larger than the inverse skyrmion radius, $k r_s \gg 1$, the magnon…

Strongly Correlated Electrons · Physics 2015-11-05 Sarah Schroeter , Markus Garst

We consider the scattering of fermions off antifermions with spin 1/2 and 3/2. Starting from helicity partial-wave scattering amplitudes we derive transformations that eliminate all kinematical constraints. Such amplitudes are expected to…

High Energy Physics - Phenomenology · Physics 2015-05-28 S. Stoica , M. F. M. Lutz , O. Scholten

We show that stable Skyrmions exist in two-component atomic Bose-Einstein condensates, in the regime of phase separation. Using full three-dimensional simulations we find the stable Skyrmions with topological charges Q=1 and 2, and compute…

Condensed Matter · Physics 2009-11-07 Richard A. Battye , N. R. Cooper , Paul M. Sutcliffe

Synthetic antiferromagnets have great potential as skyrmion carriers in which new properties are expected for these spin textures, owing to changed magnetostatics and the absence of net topological charge. Here we numerically simulate the…

Mesoscale and Nanoscale Physics · Physics 2023-09-08 Eloi Haltz , Christopher E. A. Barker , Christopher H. Marrows

The possible boundary value problems of the skyrmions are reexamined in the original Skyrme model with two new viewpoints. The first one suggests to replace the infinity boundary point by the finite radius R, which is related to the density…

High Energy Physics - Phenomenology · Physics 2013-09-09 Viet Ai Nguyen , Khanh Duy Nguyen

The effect of the spatially varying spin current on a skyrmion is numerically investigated. It is shown that an inhomogeneous current density induces an elongation of the skyrmion. This elongation can be controlled using current pulses of…

Mesoscale and Nanoscale Physics · Physics 2021-09-27 Floris van Duijn , Javier Osca , Bart Sorée

Liquid crystal skyrmions are topologically protected spatially localized distortions of the director field which are fascinating from both fundamental mathematics and applied physics points of view. Skyrmions are realized in experimental…

Soft Condensed Matter · Physics 2023-04-26 Tomás Alvim , Margarida M. Telo da Gama , Mykola Tasinkevych

Particles in a crowded environment exhibit slow anomalous diffusion, and their efficient manipulation is important in controlling transport phenomena in complex materials. Skyrmions and half-skyrmions, spatially localized quasiparticles…

Soft Condensed Matter · Physics 2025-01-03 Kyohei Takae , Kota Mitsumoto

We investigate the dynamics of two skyrmions lying in distinct layers of an antiferromagnetic bilayer system, consisting of nanostripes with the shape of racetracks. The top and bottom nanostripes are separated by a height offset and they…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 R. C. Silva , R. L. Silva , V. L. Carvalho-Santos , W. A. Moura-Melo , A. R. Pereira