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Despite numerous recent studies on the Hall anomaly following the discoveryof cuprate superconductivity, the origin of this phenomenon remainscontentious. We demonstrate that a previously proposed mechanism, in whichvacancy-on-fragment of the flux-line crystal, provides an alternativeexplanation for the observations of $\rm{Bi_{2}Sr_{2}CaCu_{2}O_{x}}$ thin filmsmade by Nitzav and Kanigel [Phys. Rev. B. 107, 094516 (2023)], without the needfor adjustable parameters. Specifically, we show that the power-law behavior of$\rho_{xy}$ over $\rho_{xx}$, with and without sign reversal, is consistentwith the picture of vacancies versus fragments. Interestingly, we find that theeffective length of vortex lines is consistently 1.5 unit cells (UC) acrossdifferent experiments, independent of film thickness.

Hall anomaly by vacancies vs fragments of vortex lattice: Quantitative analyses of new evidences