Quasi-two-dimensional magnetic correlations in Ni 2 P 2 S 6 probed by P 31 NMR

Detailed $^{31}\\mathrm{P}$ nuclear magnetic resonance (NMR) measurements are presented on well-characterized single-crystals of antiferromagnetic van der Waals ${\\mathrm{Ni}}_{2}{\\mathrm{P}}_{2}{\\mathrm{S}}_{6}$. An anomalous breakdown is observed in the proportionality of the NMR shift $K$ with the bulk susceptibility $\\ensuremath{\\chi}$. This so-called $K$--$\\ensuremath{\\chi}$ anomaly occurs in close proximity to the broad peak in $\\ensuremath{\\chi}(T)$, thereby implying a connection to quasi-two-dimensional (2D) magnetic correlations known to be responsible for this maximum. Quantum chemistry calculations show that crystal field energy level depopulation effects cannot be responsible for the $K$--$\\ensuremath{\\chi}$ anomaly. Appreciable transferred hyperfine coupling is observed, which is consistent with the proposed Ni--S--Ni super- and Ni--S--S--Ni super-super-exchange coupling mechanisms. Magnetization and spin-lattice relaxation rate (${T}_{1}^{\\ensuremath{-}1}$) measurements indicate little to no magnetic field dependence of the N\\\u0027eel temperature. Finally, ${T}_{1}^{\\ensuremath{-}1}(T)$ evidences relaxation driven by three-magnon scattering in the antiferromagnetic state.