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Due to their exceptional topological and dynamical properties magnetic skyrmions - localized stable spin structures on the nanometre scale - show great promise for future spintronic applications. To become technologically competitive,…

We introduce topological phases of matter defined by skyrmions in the ground state spin -- or pseudospin -- expectation value textures in the Brillouin zone, the chiral and helical topological skyrmion phases of matter. These phases are…

Superconductivity · Physics 2023-03-10 Ashley M. Cook

Shortest path algorithms have played a key role in the past century, paving the way for modern day GPS systems to find optimal routes along static systems in fractions of a second. One application of these algorithms includes optimizing the…

Data Structures and Algorithms · Computer Science 2021-09-16 Tyler King , Michael Soltys

Magnetic skyrmions are topologically protected chiral spin textures which present opportunities for next-generation magnetic data storage and logic information technologies. The topology of these structures originates in the geometric…

Using first-principles density functional theory (DFT) combined with atomistic spin simulations, we explore the possibility of realizing zero-field isolated skyrmions in three 4$d$/Co atomic bilayers -- Rh/Co, Pd/Co, and Ru/Co -- grown on…

Materials Science · Physics 2026-02-02 Moinak Ghosh , Stefan Heinze , Souvik Paul

The competition between external drives and interparticle interactions are important for the static and dynamic properties of topological quasiparticles in confined geometries. Here, we study the dynamics of particlelike skyrmions under a…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Xichao Zhang , Jing Xia , Xiaoxi Liu

Topological properties of energy flow of light are fundamentally interesting and have rich practical applications in optical manipulations. Here, skyrmion-like structures formed by Poynting vectors are unveiled in the focal region of a pair…

We demonstrate existence of topologically nontrivial energy minimizing maps of a given positive degree from bounded domains in the plane to $\mathbb S^2$ in a variational model describing magnetizations in ultrathin ferromagnetic films with…

Analysis of PDEs · Mathematics 2026-04-03 Cyrill B. Muratov , Theresa M. Simon , Valeriy V. Slastikov

We report the results of simulations of magnetic skyrmion stability in ultrathin magnetic multilayer nanodots with interfacial Dzyaloshinskii-Moriya exchange interaction (DMI). We found that in presence of the lateral confinement the…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 M. Zelent , J. Tóbik , M. Krawczyk , K. Y. Guslienko , M. Mruczkiewicz

We study a variational problem for the Landau--Lifshitz energy with Dzyaloshinskii--Moriya interactions arising in 2D micromagnetics, focusing on the Bogomol'nyi regime. We first determine the minimal energy for arbitrary topological…

Analysis of PDEs · Mathematics 2026-01-01 Slim Ibrahim , Tatsuya Miura , Carlos Román , Ikkei Shimizu

Isospin transport occurring within dinuclear projectile-like fragments (PLFs) produced in heavy- ion collisions is explored as a probe of the nuclear symmetry energy. Within the framework of the Constrained Molecular Dynamics model (CoMD),…

Nuclear Experiment · Physics 2014-12-30 K. Stiefel , Z. Kohley , R. T. deSouza , S. Hudan , K. Hammerton

A heterostructure composed of $N$ parallel homogeneous layers is studied in the limit as their widths $l_1, \ldots , l_N$ shrink to zero. The problem is investigated in one dimension and the piecewise constant potential in the…

Quantum Physics · Physics 2022-02-16 Alexander V. Zolotaryuk , Yaroslav Zolotaryuk

Voltage instability is one of the main causes of power system blackouts. Emerging technologies such as renewable energy integration, distributed energy resources and demand responses may introduce significant uncertainties in analyzing of…

Systems and Control · Electrical Eng. & Systems 2020-06-17 Dan Wu , Franz-Erich Wolter , Bin Wang , Le Xie

The interaction of matter-wave solitons with a potential barrier is a fundamentally important problem, and the splitting and subsequent recombination of the soliton by the barrier is the essence of soliton matter-wave interferometry. We…

Quantum Gases · Physics 2013-06-10 J. Cuevas , P. G. Kevrekidis , B. A. Malomed , P. Dyke , R. G. Hulet

Stability boundaries of the skyrmion lattice in non-centrosymmetric bulk ferromagnets with the Dzyaloshinskii-Moriya interaction in external magnetic field are discussed. We compare the classical energies of the spin configuration of the…

Strongly Correlated Electrons · Physics 2024-12-05 S. V. Grigoriev , V. E. Timofeev , D. N. Aristov

Physical systems evolve from one state to another along paths of least energy barrier. Without a priori knowledge of the energy landscape, multidimensional search methods aim to find such minimum energy pathways between the initial and…

The baby Skyrme model is studied with a novel choice of potential, $V=1/2 \phi_3^2$. This "easy plane" potential vanishes at the equator of the target two-sphere. Hence, in contrast to previously studied cases, the boundary value of the…

High Energy Physics - Theory · Physics 2015-03-17 Juha Jäykkä , Martin Speight

The dynamic control of skyrmion properties such as polarity, vorticity, and topological charge is crucial for their implementation in spintronic applications. In this work, we investigate the periodic inversion of the topological charge in…

Mesoscale and Nanoscale Physics · Physics 2025-08-15 R. L. Silva , R. C. Silva

We report the discovery and direct visualization of skyrmion clusters with mutually-orthogonal orientations of constituent isolated skyrmions in chiral liquid crystals and ferromagnets. We show that the nascent conical state underlies…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Hayley. R. O. Sohn , Sergei M. Vlasov , Valeriy M. Uzdin , Andrey O. Leonov , Ivan I. Smalyukh

The pressure-temperature phase diagram of a one-component system, with particles interacting through a spherically symmetric pair potential in two dimensions is studied. The interaction consists of a hard core plus an additional repulsion…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla