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Recently, the bi-layer Kagome lattice material Ca$_{10}$Cr$_7$O$_{28}$ hasbeen shown to be a quasi-two-dimensional quantum spin liquid (QSL) where thefrustration arises from a balance between competing ferromagnetic andantiferromagnetic exchange within a bi-layer. In an attempt to understand whathappens when this balance is disturbed, we present a magnetic dilution study.Specifically, we have synthesized Ca$_{10}$(Cr$_{1-x}$V$_x$)$_7$O$_{28}$ (0$\leq$ x $\leq$ 0.5) where magnetic Cr$^{5+}$ ($S = 1/2$) is partially replacedby non-magnetic V$^{5+}$ ($S = 0$). We also synthesized the fully non-magneticisostructural material Ca$_{10}$V$_7$O$_{27.5}$. We report a detailedstructural, magnetic and heat capacity study on these materials. A monotonicincrease in the unit cell parameters is found for theCa$_{10}$(Cr$_{1-x}$V$_x$)$_7$O$_{28}$ materials with increasing $x$. An orderof magnitude decrease in the Curie-Weiss temperature from $4$ to $0.5$~ K isfound for the partial V substituted samples, which indicates a relativeincrease in antiferromagnetic exchange with increase in V content. However,despite this change in the relative balance in the exchange interactions andthe large disorder introduced, no magnetic ordering or spin-glass state isobserved down to $2$~K in the V substituted samples. The QSL state of theparent compound thus seems surprisingly robust against these largeperturbations.

Robust spin liquid state against magnetic-dilution in the bi-layer Kagome material Ca$_{10}$Cr$_7$O$_{28}$