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We use magnetic force microscopy to both image and manipulate individualvortex lines threading single crystalline YBa$_2$Cu$_3$O$_{6.4}$, a layeredsuperconductor. We find that when we pull the top of a pinned vortex, it maynot tilt smoothly. Sometimes, we observe a vortex to break into discretesegments that can be described as short stacks of pancake vortices, similar tothe "kinked" structure proposed by Benkraouda and Clem. Quantitative analysisgives an estimate of the pinning force and the coupling between the stacks. Ourmeasurements highlight the discrete nature of stacks of pancake vortices inlayered superconductors.

Magnetic-force-microscope study of interlayer "kinks" in individual vortices in underdoped cuprate YBa$_2$Cu$_3$O$_{6+x}$ superconductor