Dataset for the article "Stabilization of the skyrmion in a hybrid magnetic-superconducting nanostucture"

The dataset consist of the data used to prepare the figures for the manuscript: 

Julia Kharlan, Mateusz Zelent, Konstantin Guslienko, Vladimir O. Golub, Jarosław W. Kłos
"Stabilization of the skyrmion in a hybrid magnetic--superconducting nanostucture".

Abstract:
Stabilization of skyrmions in a magnetic material without the Dzyaloshinskii–Moriya exchange interaction requires using of an inhomogeneous magnetic field, such as a demagnetization field or an Oersted field. To control and tune  the local magnetic field in magnetic material we propose to exploit superconducting nanorings. The field stabilizes the skyrmion through the presence of persistent current induced by the pulses of external field.  We analyze the conditions for the stabilization of Néel skyrmion  in ferromagnetic layers with out-of-plane anisotropy, as a function of the nanoring size and induced   superconducting current. We show that the superconducting current should exceed a critical value for the skyrmion to become stable. The paper presents consistent results from both analytical and micromagnetic calculations for Co and Ga:YIG thin magnetic films.

The dataset contains information for the reproduction Fig.2 and Fig.3 from the manuscript.

The files "Stray_SC_field_R405_r61.txt", "Stray_SC_field_R405_r160.txt", "Stray_SC_field_R405_r344.txt"  contain the dataset for Fig.2 (data were obtained semi-analytically for superconducting (SC) ring of radii R = 405 nm and r = 61 nm, r = 160 nm, r = 344 nm respectively). Each file consists of 3 columns: radius-vector rho, tangential component of SC stray field B_phi and normal component of SC stray field B_z. 

The file "E_skyrmion_YIG 405.26_159.97.txt" contains the dataset for Fig.3(c) – the results of analytic  calculations for SC ring of radii R = 405 nm and r = 160 nm placed  above the ferromagnetic (FM) disk made of Ga:YIG. File consists of 3 columns: skyrmion radius R_s, energy of FM disk in a presence of SC ring and energy of isolated FM disk. The files  "E_skyrmion_Co_d=0.75 405.26_159.97.txt", "E_skyrmion_YIG 287.84_76.99.txt" and "E_skyrmion_Co_d=0.75 287.84_76.99.txt" have similar structures and contain datasets for Fig.3(d) (R = 405 nm, r = 160 nm, Co), Fig.3(e) (R = 287 nm, r = 77 nm, Ga:YIG) and Fig.3(f) (R = 287 nm, r = 77 nm, Co).

Files "full.Big_405_160.ovf" and "full_Big_287_77.ovf" contain SC stray filed profiles, calculated for ring radii R = 405 nm, r = 160 nm and R = 287 nm, r = 77 nm respectively. These data were used in MuMax3 simulations to obtain results for Fig.3(c-f). 

The file "YIG_405_final3.txt" contains the dataset for Fig.3(c) obtained using micromagnetic simulations in MuMax for SC ring of radii R = 405 nm and r = 160 nm for FM made of Ga:YIG. File consists of 2 rows: Energy and skyrmion radius. The files "Cobalt_405_final3.txt", "YIG_287_final3.txt" and "Cobalt_287_final3.txt" have similar structures and contain datasets for Fig.3(d) (R = 405 nm, r = 160 nm, Co), Fig.3(e) (R = 287 nm, r = 77 nm, Ga:YIG) and Fig.3(f) (R = 287 nm, r = 77 nm, Co).