Ferromagnetism and insulating behavior with a logarithmic temperature dependence of resistivity in $Pb_{10-x}Cu_x\left( PO_4 \right) _6O$
Yuhang Zhang, Cong Liu, Xiyu Zhu, Hai-Hu Wen

TL;DR
This study investigates copper-doped lead phosphate apatite, finding it to be a ferromagnetic semiconductor with a logarithmic temperature dependence of resistivity, and finds no evidence of superconductivity at ambient pressure.
Contribution
It provides detailed characterization of $Pb_{10-x}Cu_x(PO_4)_6O$, demonstrating the absence of superconductivity and metallicity, and highlights the material's ferromagnetic and insulating behavior.
Findings
Resistivity follows a ln(1/T) dependence over a wide temperature range.
The material exhibits ferromagnetic signals with weak superparamagnetic background.
No evidence of superconductivity was observed in the samples.
Abstract
Recent claim of discovering above-room-temperature superconductivity (Tc about 400 K) at ambient pressure in copper doped apatite has stimulated world-wide enthusiasm and impulse of motion. A lot of follow-up works have been carried out with controversial conclusions. To check whether superconductivity is really present or absent in the material, we need samples which should have a rather pure phase of . Here we report the characterization results from the with a fraction of about 97 wt.% inferred from the fitting to the x-ray diffraction pattern. The resistivity measurements show that it is a semiconductor characterized roughly by a ln(1/T) temperature dependence in wide temperature region without trace of superconductivity. Magnetization measurements show that it has a general…
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