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Manipulating vortices in non-conventional superconductors is nowadays achallenging path toward controlling functionalities for superconductingnanodevices. Here, we directly observe and control single vortex coretrajectories with unmatched resolution using a new scanning tunnelingspectroscopy at very low temperature. Our data show the depinning threshold ofa Bragg-glass in a weakly disordered superconductor, a clean 2H-NbSe2 crystal.We first experimentally capture the linear and collective response, theCampbell regime. Upon strong drives, the oscillating trajectories perform aseries of stick-slip motions that mimics the lattice periodicity. We thentheoretically elucidate this peculiar non-linear regime by solving the Langevindynamics equations. We additionally explore the impact of initial conditionsand reveal an enhancement of the long-range correlations with the coolingprocedure. Finally, our work establishes a connection between theory of vortexpinning, memory effects and vortex lineshapes, thus offering a new platform toinvestigate the relationship between viscous media and individual controllableobjects in any many-body systems.

Stick-slip Phenomena and Memory Effects in Moving Vortex Matter