Magnetic Skyrmions coupled to fermions

Abstract

The index theorem implies that there are fermionic states localized on a soliton. Presence of these modes may significantly alter the pattern of interaction between the solitons. As a particular example we investigate the chiral magnetic Skyrmions coupled to spin-isospin fermions. It is shown that there are sequences of fermionic modes localized on the Skyrmions. We investigate the pattern of interaction between the soltions with localized modes and proved the existence of stable system of magnetic Skyrmions bounded by the strong attractive dipole interaction mediated by the chargeless fermionic modes.

arXiv comment5 pages, 4 figures

References in corpus (12)

• Skyrmion Lattice in a Chiral Magnet
• Evidence for Skyrmions and Single Spin Flips in the Integer Quantized Hall Effect
• Multisolitons in a Two-dimensional Skyrme Model
• Two-dimensional skyrmions and other solitonic structures in confinement-frustrated chiral nematics
• Interaction of Individual Skyrmions in Nanostructured Cubic Chiral Magnet
• Direct Observation of Attractive Skyrmions and Skyrmion Clusters in the Cubic Helimagnet Cu${}_2$OSeO${}_3$
• Charged skyrmions on the surface of a topological insulator
• Magnetic skyrmions and their lattices in triplet superconductors
• Zero modes and charged Skyrmions in graphene bilayer
• Soliton solutions of the fermion-Skyrmion system in (2+1) dimensions
• Skyrmion-induced bound states on the surface of 3D Topological Insulators
• Atiyah-Patodi-Singer index theorem for domain-wall fermion Dirac operator

Cited by in corpus (7)

• Kinks bounded by fermions
• Fermions on the kink revisited
• Resonance mediated by fermions in kink-antikink collisions
• Fermion transfer in the ${\varphi }^4$ model with a half-BPS preserving impurity
• Kink-antikink collision in the supersymmetric ${\varphi }^4$ model
• A baby--Skyrme model with anisotropic DM interaction: Compact skyrmions revisited
• Remarks on sine-Gordon kink--fermion system: localized modes and scattering