Abstract
The distribution and dynamic behavior of Abrikosov vortices in type-$\mathrm{II}$ superconductors could modulate the nearby magnetic field, thus enriching new physics in the proximal two-dimensional electron gas. Here we investigate the effects of vortex dynamics on the quantum transport properties of graphene in proximity to the superconducting single-crystalline ${\mathrm{NbSe}}_{2}$ thin flakes. Pronounced asymmetric magnetoresistivity plateaus emerge near zero field below the critical temperature of ${\mathrm{NbSe}}_{2}$, accompanied by hysteresis loops. In sharp contrast, only weak localization behavior is observed for graphene placed on ${\mathrm{SiO}}_{2}\text{/}\mathrm{Si}$ substrate. Such magnetoresistivity plateaus and hysteresis can be attributed to the vortex pinning effect at the edge defects of the single-crystalline ${\mathrm{NbSe}}_{2}$ flakes. Our findings may shed light on the realization of emergent states in the two-dimensional electron gases by manipulation of vortex dynamics and distribution in the proximal superconductors.
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