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The opening of a spin gap in the orthorhombic compounds CeT$_2$Al$_{10}$ (T =Ru and Os) is followed by antiferromagnetic ordering at $T_N$ = 27 K and 28.5K, respectively, with a small ordered moment (0.29$-$0.34$\mu_B$) along the$c-$axis, which is not an easy axis of the crystal field (CEF). In order toinvestigate how the moment direction and the spin gap energy change with 10\%La doping in Ce$_{1-x}$La$_x$T$_2$Al$_{10}$ (T = Ru and Os) and also tounderstand the microscopic nature of the magnetic ground state, we here reporton magnetic, transport, and thermal properties, neutron diffraction (ND) andinelastic neutron scattering (INS) investigations on these compounds. Our INSstudy reveals the persistence of spin gaps of 7 meV and 10 meV in the 10\%La-doped T = Ru and Os compounds, respectively. More interestingly our ND studyshows a very small ordered moment of 0.18 $\mu_B$ along the $b-$axis (momentdirection changed compared with the undoped compound), inCe$_{0.9}$La$_{0.1}$Ru$_2$Al$_{10}$, however a moment of 0.23 $\mu_B$ stillalong the $c-$axis in Ce$_{0.9}$La$_{0.1}$Os$_2$Al$_{10}$. This contrastingbehavior can be explained by a different degree of hybridization inCeRu$_2$Al$_{10}$ and CeOs$_2$Al$_{10}$, being stronger in the latter than inthe former. Muon spin rotation ($\mu$SR) studies onCe$_{1-x}$La$_x$Ru$_2$Al$_{10}$ ($x$ = 0, 0.3, 0.5 and 0.7), reveal thepresence of coherent frequency oscillations indicating a long$-$rangemagnetically ordered ground state for $x$ = 0 to 0.5, but an almost temperatureindependent Kubo$-$Toyabe response between 45 mK and 4 K for $x$ = 0.7. We willcompare the results of the present investigations with those reported on theelectron and hole$-$doping in CeT$_2$Al$_{10}$.

Contrasting chemical pressure effect on the moment direction in the Kondo semiconductor CeT$_2$Al$_{10}$ (T = Ru,Os)