Magnetic symmetry and hyperfine fields of tetrahedral clusters in the multiferroic lacunar spinel
Phys. Rev. B 114, 154418 – Published 18 September, 2026
DOI: https://doi.org/10.1103/xn3r-b7g6
Abstract
We use nuclear magnetic resonance (NMR) spectroscopy to investigate the magnetic ground state of the lacunar spinel , which undergoes a structural distortion at followed by an antiferromagnetic (AFM) ordering at . According to our zero- and finite-field NMR data, the four V-sites of clusters become magnetically inequivalent in the AFM state: Two of them share the same internal field, while the other two sites are characterized by different internal fields. The angular dependence of the NMR lines, upon rotation of an external magnetic field about the pseudocubic [110] and [100] axes, reveals that the internal fields are either parallel to the orthorhombic axis at all four V-sites of the tetrahedra, or they form an orthogonal pattern, where two V-sites have internal field along the axis and the other two along the axis. Based on these results, further supported by the observation of distinct spin-echo modulations of the inequivalent V-sites, we conclude that the magnetic space group of the AFM state is or .