$H_{3}S$ is a high-$\kappa$ superconductor with columnar pinning defects

Abstract

Recently, the existence of superconductivity in $\mathrm{H_{3}S}$ and other high-pressure hydrides is called into question, because of some flawed magnetic measurements. In Ref.[1] the SCPC model is proposed, where strong pinning of vortices is due to long columnar defects in $\mathrm{H_{3}S}$ - with lengths $\mathrm{L}$ of the order of vortex lengths $\mathrm{L_{v}}$. Two relevant type of experiments in magnetic fields are explained by this model: (1) Reduction (with respect to standard superconductors) of the thermal broadening of resistance ($\mathit{TBR}$) in magnetic field $\mathrm{h=H/H_{c2}}$, $\mathrm{\mathrm{\delta t_{c}(h)}}$, is governed by the small parameter $\mathrm{C=}$$\mathrm{\xi_{0}}/\mathrm{L}$. The $\mathit{TBR}$ measurements give, that in $\mathrm{H_{3}S}$ there is a large shift of the irreversible line $\mathrm{B_{irr}(T)}$ towards the $\mathrm{B_{c2}(T)}$ line. (2) In ZFC (zero field cooled) experiments on penetration of the magnetic field ($\mathit{PMF}$) in $\mathrm{H_{3}S}$ [3], the latter reaches the center of a superconducting disk at much larger external fields, i. e. for $\mathrm{B_{0}\gg B_{c1}}$. The later is due to the pronounced pinning of vortices, but not to the Meissner effect. The calculated $\mathrm{T}$- dependence of the penetrated, perpendicular $\mathrm{B_{\perp}(T)}$ and parallel $\mathrm{B_{\parallel}}(\mathrm{T})$, magnetic field into the sample is in satisfactory agreement with the experimental results for $\mathrm{H_{3}S}$ in [3], where $\mathrm{B_{\perp}>B_{\parallel}}$. Problems related to measurements of the Meissner effect in $\mathrm{H_{3}S}$ are also discussed. The SCPC model, applied on the bulk $\mathrm{H_{3}S}$ sample, predicts, that the latter is a high-$\kappa$ superconductor.