Vortex jets generated by edge defects in current-carrying superconductor thin strips

At sufficiently large transport currents $I_\\mathrm{tr}$, a defect at the\nedge of a superconducting strip acts as a gate for the vortices entering into\nit. These vortices form a jet, which is narrow near the defect and expands due\nto the repulsion of vortices as they move to the opposite edge of the strip,\ngiving rise to a transverse voltage $V_\\perp$. Here, relying upon the equation\nof vortex motion under competing vortex-vortex and $I_\\mathrm{tr}$-vortex\ninteractions, we derive the vortex jet shapes in narrow ($\\xi\\ll\nw\\lesssim\\lambda_\\mathrm{eff}$) and wide ($w\\gg\\lambda_\\mathrm{eff}$) strips\n[$\\xi$: coherence length, $w$: strip width, $\\lambda_\\mathrm{eff}$: effective\npenetration depth]. We predict a nonmonotonic dependence\n$V_\\perp(I_\\mathrm{tr})$ which can be measured with Hall voltage leads placed\non the line $V_1V_2$ at a small distance $l$ apart from the edge defect and\nwhich changes its sign upon $l\\rightarrow -l$ reversal. For narrow strips, we\ncompare the theoretical predictions with experiment, by fitting the\n$V_\\perp(I_\\mathrm{tr},l)$ data for $1\\,\\mu$m-wide MoSi strips with single edge\ndefects milled by a focused ion beam at distances $l = 16$-$80$\\,nm from the\nline $V_1V_2$. For wide strips, the derived magnetic-field dependence of the\nvortex jet shape is in line with the recent experimental observations for\nvortices moving in Pb bridges with a narrowing. Our findings are augmented with\nthe time-dependent Ginzburg-Landau simulations which reproduce the calculated\nvortex jet shapes and the $V_\\perp(I_\\mathrm{tr},l)$ maxima. Furthermore, with\nincrease of $I_\\mathrm{tr}$, the numerical modeling unveils the evolution of\nvortex jets to vortex rivers, complementing the analytical theory in the entire\nrange of $I_\\mathrm{tr}$.\n