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We present a study of the alloying series of the non-centrosymmetric$f$-electron intermetallic CePt$_3$B$_{1-x}$Si$_x$ by means of muon spinrotation and relaxation measurements. In addition, we include a high pressuremagnetization investigation of the stoichiometric parent compound CePt$_3$B.From our data we establish the nature of the magnetic ground state propertiesof the series, derive the ordered magnetic moment as function of stoichiometryand gain insight into the evolution of the symmetry of the ordered magneticstate with $x$. We thus can verify the notion that the behavior of the sampleseries can essentially be understood within the framework of the Doniach phasediagram. Further, our findings raise the issue of the role theDzyaloshinskii-Moriya magnetic interaction plays in correlated electronmaterials, and its effect on magnetic fluctuations in such materials.

The magnetic ground state properties of non-centrosymmetric CePt$_3$B$_{1-x}$Si$_x$