* H.S. made the initial observation of non-Hermitian impurities attracting skin effect modes. * H.S. performed the numerical simulations and wrote the manuscript with input from other authors. * All authors contributed to the theoretical explanation behind this observation and defined the research plan. # author order * Helene, Viktor, Anton, Cosma # acknowledgments * A. A. and H. S. were supported by NWO VIDI grant 016.Vidi.189.180 and by the Netherlands Organization for Scientific Research (NWO/OCW) as part of the Frontiers of Nanoscience program. * I. C. F. and V. K. acknowledge financial support from the DFG through the W¨urzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter – ct.qmat (EXC 2147, project-id 390858490).