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

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.