High-topological-number magnetic skyrmions and topologically protected dissipative structure

Topological Quasiparticles: Magnetic Skyrmions

Magnetic skyrmions are topologically distinct spin textures and can be stable with quasi-particle like behavior, such that they can be manipulated with very low electric currents. This makes them interesting for extreme low-power information technologies [1], where data is envisioned to be encoded in topological charges, instead of electronic charges as in conventional semiconducting devices. U...

Complex band structure of topologically protected edge states

Xiaoqian Dang,1 J. D. Burton,1,* Alan Kalitsov,2 Julian P. Velev,1,2 and Evgeny Y. Tsymbal1,† 1Department of Physics and Astronomy & Nebraska Center for Materials and Nanoscience, University of Nebraska, Lincoln, Nebraska 68588-0299, USA 2Department of Physics and Astronomy and Institute for Functional Nanomaterials, University of Puerto Rico, San Juan, Puerto Rico 00931, USA (Received 5 Septem...

Brandt extensions and primitive topologically periodic inverse topological semigroups

In this paper we find sufficient conditions on primitive inverse topological semigroup S under which: the inversion inv : (H(S)) (H(S)) is continuous; we show that every topologically periodic countable compact primitive inverse topological semigroups with closed H-classes is topologically isomorphic to an orthogonal sum P i2= Bi (Gi) of topological Brandt extensions Bi (Gi) of countably compac...

Topologically-Protected Low Dimensional Metals

Switching of chiral magnetic skyrmions by picosecond magnetic field pulses via transient topological states

Magnetic chiral skyrmions are vortex like spin structures that appear as stable or meta-stable states in magnetic materials due to the interplay between the symmetric and antisymmetric exchange interactions, applied magnetic field and/or uniaxial anisotropy. Their small size and internal stability make them prospective objects for data storage but for this, the controlled switching between skyr...