New evidence for Hall anomaly by vacancies in a pinned lattice of vortices

Hall anomaly has been the subject of many studies since the discovery of the cuprates. Despite there being many theoretical models, but no consensus on their origin. In this work, we analysis elucidates $\rm{Bi_{2}Sr_{2}CaCu_{2}O_{x}}$ thin films by Yuval Nitzav and Amit Kanigel [Phys. Rev. B. 107, 094516 (2023)] with vacancy mechanism, with no adjustable parameter. This experiment provides a new evidence to support the origin of the Hall anomaly is the motion of vacancies in pinned fragments of the vortex lattice. Confirming predictions of the mechanism. In particular, artificial pinning and measurement of effective thickness can be set up for further verification.