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We report on the geometrically frustrated two-dimensional triangular-latticemagnets $A_2$La$_2$NiW$_2$O$_{12}$ ($A$ = Sr, Ba) studied mostly by means ofneutron powder diffraction (NPD) and muon-spin rotation and relaxation($\mu$SR) techniques. The chemical pressure induced by the Ba-for-Srsubstitution suppresses the ferromagnetic (FM) transition from 6.3 K in theBa-compound to 4.8 K in the Sr-compound. We find that the $R\bar{3}$ spacegroup reproduces the NPD patterns better than the previously reported$R\bar{3}m$ space group. Both compounds adopt the same magnetic structure witha propagation vector $\boldsymbol{k} = (0, 0, 0)$, in which the Ni$^{2+}$magnetic moments are aligned ferromagnetically along the $c$-axis. Thezero-field {\textmu}SR results reveal two distinct internal fields (0.31 and0.10 T), caused by the long-range ferromagnetic order. The small transversemuon-spin relaxation rates reflect the homogeneous internal field distributionin the ordered phase and, thus, further support the simple FM arrangement ofthe Ni$^{2+}$ moments. The small longitudinal muon-spin relaxation rates, inboth the ferromagnetic- and paramagnetic states of A$_2$La$_2$NiW$_2$O$_{12}$,indicate that spin fluctuations are rather weak. Our results demonstrate thatchemical pressure indeed changes the superexchange interactions in$A_2$La$_2$NiW$_2$O$_{12}$ compounds, with the FM interactions being dominant.

Neutron scattering and muon-spin spectroscopy studies of the magnetic triangular-lattice compounds $A_2$La$_2$NiW$_2$O$_{12}$ ($A$ = Sr, Ba)