TY  - JOUR
AU  - Kuchkin, Vladyslav
AU  - Barton-Singer, Bruno
AU  - Rybakov, Filipp N.
AU  - Blügel, Stefan
AU  - Schroers, Bernd J.
AU  - Kiselev, Nikolai S.
TI  - Magnetic skyrmions, chiral kinks, and holomorphic functions
JO  - Physical review / B
VL  - 102
IS  - 14
SN  - 2469-9950
CY  - Woodbury, NY
PB  - Inst.
M1  - FZJ-2020-04081
SP  - 144422
PY  - 2020
AB  - We present a novel approach to understanding the extraordinary diversity of magnetic skyrmion solutions. Our approach combines an original classification scheme with efficient analytical and numerical methods. We introduce the concept of chiral kinks to account for regions of disfavored chirality in spin textures, and classify two-dimensional magnetic skyrmions in terms of closed domain walls carrying such chiral kinks. In particular, we show that the topological charge of magnetic skyrmions can be expressed in terms of the constituent closed domain walls and chiral kinks. Guided by our classification scheme, we propose a method for creating hitherto unknown magnetic skyrmions which involves initial spin configurations formulated in terms of holomorphic functions and subsequent numerical energy minimization. We numerically study the stability of the resulting magnetic skyrmions for a range of external fields and anisotropy parameters, and provide quantitative estimates of the stability range for the whole variety of skyrmions with kinks. We show that the parameters limiting this range can be well described in terms of the relative energies of particular skyrmion solutions and isolated stripes with and without chiral kinks.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000577208700004
DO  - DOI:10.1103/PhysRevB.102.144422
UR  - https://juser.fz-juelich.de/record/885778
ER  -