Skyrmion collapse

Abstract

We investigate the topological change of a Belavin-Polyakov skyrmion under the action of a spin-polarized current. The dynamics is described by the Schrödinger equation for the electrons carrying the current coupled to the Landau-Lifshitz equation for the evolution of the magnetic texture in a square lattice. We show that the addition of an exchange dissipation term, tends to smooth the transition from the skyrmion state to the ferromagnetic state. We demonstrate that this topological change, in the continuum dissipationless limit, can be described as a self-similar finite-time singularity by which the skyrmion core collapses.

9 pages, 6 figures; v2. discussion added (the title of the published version is "Skyrmion to ferromagnetic state transition: A description of the topological change as a finite-time singularity in the skyrmion dynamics")

References in corpus (13)

• Skyrmion Lattice in a Chiral Magnet
• Spin Transfer Torques
• Roles of non-equilibrium conduction electrons on magnetization dynamics of ferromagnets
• Spin Transfer Torques in MnSi at Ultra-low Current Densities
• Emergent electrodynamics of skyrmions in a chiral magnet
• Current-induced skyrmion dynamics in constricted geometries
• Topological Hall effect and Berry phase in magnetic nanostructures
• A reversible conversion between a skyrmion and a domain-wall pair in junction geometry
• Laser-Induced Magnetic Nanostructures with Tunable Topological Properties
• Skyrmion Generation by Current
• Multiscale and multimodel simulation of Bloch point dynamics
• Magnetization structure of a Bloch point singularity
• Topological changes of two-dimensional magnetic textures

Cited by in corpus (9)

• Path to collapse for an isolated Néel skyrmion
• Complex magnetic phase diagram and skyrmion lifetime in an ultrathin film from atomistic simulations
• Unraveling the role of dipolar versus Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions
• Skyrmion mediated voltage controlled switching of ferromagnets for reliable and energy efficient 2-terminal memory
• A micromagnetic theory of skyrmion lifetime in ultrathin ferromagnetic films
• Stability of a skyrmion and interaction of magnons
• Controlling the nucleation and annihilation of skyrmions with magnetostatic interactions
• Quantum walk on a graph of spins: magnetism and entanglement
• Topological textures and their bifurcation processes in 2D ferromagnetic thin films