Determination of the magnetic q vectors in the heavy fermion superconductor Ce3PtIn11

An analysis with transferred hyperfine field has been performed on the spectra of the $^{115}$In nuclear quadrupole resonance experiments of heavy fermion superconductor Ce$_{3}$PtIn$_{11}$ exhibiting co-occurrence of two successive antiferromagnetic orderings ($T_{\rm N1}$ = 2.2 K and $T_{\rm N2}$ = 2.0 K) followed by superconducting transition ($T_{\rm c}$ = 0.32 K). The spectral changes at magnetic transition temperatures $T_{\rm N1}$ and $T_{\rm N2}$ indicate that the Ce(2) site has the dominant magnetic contribution, with a small magnetic moment, but not negligible, at the Ce(1) site. Our analysis using transferred hyperfine field which overcomes the previous simple dipolar model evinces that for $T_{\rm N2} < T < T_{\rm N1 } $, the propagation vectors at the Ce(1) and Ce(2) sublattices are q1 = q2 = (1/2, 1/2, 0 or 1/2), whereas for $T < T_{\rm N2 }$, the propagation vectors are q1 = (1/2,~1/2, 1/6 or 1/3) and q2 = (1/2, 1/2, 1/2 or 0), respectively.