Zusammenfassung
We present a $^31P$ NMR investigation of $BaCdVO(PO_4)_2$ focusing on the nearly saturated regime between $\mu_0H_c1=4.05\rule0.16em0exT$ and $\mu_0H_c2=6.5\rule0.16em0exT$, which used to be considered a promising candidate for a spin-nematic phase. NMR spectra establish the absence of any dipolar order there, whereas the weak field dependence of the magnetization above $H_c1$ is accounted for by Dzyaloshinskii-Moriya interaction terms. The low-energy spin dynamics (fluctuations), measured by the nuclear spin-lattice relaxation rate $T_1^-1$, confirms the continuity of this phase and the absence of any low-temperature phase transition. Unexpectedly, the spin dynamics above $H_c1$ is largely dominated by two-magnon processes, which is expected above the saturation field of a spin-nematic phase, but not inside. This shows that $BaCdVO(PO_4)_2$ is indeed close to a spin-nematic instability; however, this phase is not stabilized. We thus confirm recent theoretical predictions that the spin-nematic phase can be stabilized, at most, in an extremely narrow field range close to saturation or is rather narrowly avoided Jiang et al., Phys. Rev. Lett. 130, 116701 (2023).
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