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In-Field Transport Critical Currents in Superhydride Superconductors: Highly-Compressed CeH$_9$

Experimental discovery of near-room-temperature superconductivity in highly compressed hydrogen sulfate started a new era in superconductivity. To date, researchers have made the discovery of dozens of superconducting hydride phases with transition temperatures above LN2. While the primary focus of the research in this field is to determine fundamental superconducting parameters of these superconductors, here we revealed primary applied property of these superconductors which is the field dependence of transport critical current, $I_{c}(B,T)$. We analyzed reported $V(I)$ curves for a highly compressed CeH$_9$ sample with $T_c = 70$ $K$, and showed that this hydride exhibits practically identical $I_{c}(B,T)$ to HTS 1G-wire (Bi,Pb)$_2$Sr$_2$Ca$_2$Cu$_3$O$_{11}$. Additionally, we demonstrated that the $n$-value in CeH$_9$ superhydride follows a nearly identical dependence on critical current, as observed in Nb$_3$Sn conductors.