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We successfully synthesized polycrystalline LK-99-like ceramic samples with asolid-state-sintering method. Powder X-ray diffraction shows that the maincontents are $\mathrm{Pb_{10-x}Cu_x(PO_4)_6O}$ and $\mathrm{Cu_2S}$, consistentwith recent reports [arXiv:2307.12037; arXiv:2308.01192]. In some small flakyfragments, we successfully observed ``half levitation'' atop a$\mathrm{Nd_2Fe_{14}B}$ magnet. Using magnetization measurements on such smallpieces, as well as on a large piece which does not exhibit the half levitation,we show that the samples ubiquitously contain weak yet definitive softferromagnetic components. We argue that, together with the pronounced shapeanisotropy of the small fragments, the soft ferromagnetism is sufficient toexplain the observed half levitation in strong vertical magnetic fields. Ourmeasurements do not indicate the presence of the Meissner effect, nor zeroresistance, in our samples, leading us to believe that our samples do notexhibit superconductivity. The precise chemical composition and the physicsbehind the ferromagnetic component remain outstanding questions to be addressedin future research.

Ferromagnetic half levitation of LK-99-like synthetic samples