The low-temperature properties of CeOBiS2 single crystals are studied by
electrical resistivity, magnetization, and specific heat measurements. Ce 4f
-electrons are found to be in a well-localized state split by
crystalline-electric-field (CEF) effects. The CEF ground state is a pure Jz
= ± 1/2 doublet, and excited doublets are located far above. At low
temperatures in zero field, we observe pronounced −logT divergence in the
specific heat, revealing the presence of quantum critical fluctuations of 4f
magnetic moments near a quantum critical point (QCP). Considering that
CeOBiS2 is a nonmetal, this phenomenon cannot be attributed to the
competition between Kondo and the Ruderman-Kittel-Kasuya-Yosida (RKKY)
interactions as in numerous f-electron-based strongly correlated metals,
indicating an unconventional mechanism. We suggest that CeOBiS2 is the first
material found to be located at a QCP among geometrically frustrated
nonmetallic magnets.Comment: 12 pages, 5 figure