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The magnetic H - T phase diagram of a quasi-two-dimensional easy planeantiferromagnet RbFe(MoO$_4$)$_2$ (S = 5/2) with an equilateral triangularlattice structure is studied with $^{87}$Rb NMR technique for field directedalong hard axis C3. The studies confirm the two step transition from the lowfield umbrella-like incommensurate magnetic phase to the paramagnetic stateobserved recently (Mitamura et al. 2016). The transitions were identified as alambda anomaly in the spin-lattice relaxation rate and a step increase ofmagnetic susceptibility at intermediate transition. The $^{87}$Rb NMR studyprecludes the possibility of either V or fan spin textures in the X phase. Theadditional transition is presumably associated with loss of inter planemagnetic order before the transition to paramagnetic state of individualtriangular planes.

Anisotropy stabilized magnetic phases of the triangular antiferromagnet RbFe(MoO$_4$)$_2$