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The spin dimer system $\mathrm{Ba}_{3-x}\mathrm{Sr}_x\mathrm{Cr_2O_8}$ is asolid solution of the triplon Bose-Einstein condensation candidates$\mathrm{Ba_3Cr_2O_8}$ and $\mathrm{Sr_3Cr_2O_8}$. The magnetic intradimerinteraction constant $J_0$ in this spin system can be tuned by varying the Srcontent $x$. Very interestingly, this variation of $J_0$ with $x$ is highlynonlinear. In the present study, we show that this peculiar behavior of $J_0$can be only partly explained by the changes in the average crystal structurealone. We report on neutron powder diffraction experiments to probe thecorresponding structural details. Performing extended H\"{u}ckel tight bindingcalculations based on those structural details obtained at liquid heliumtemperatures, we found that the change of the magnetic interaction constant canbe well reproduced by taking into account the presence of a structuraltransition due to the Jahn-Teller active Cr$^{5+}$-ions. This transition,lifting the orbital degeneracy and thereby the magnetic frustration in thesystem, is heavily influenced by disorder in the system arising from partiallyexchanging Ba with Sr.

Influence of disorder on the structural phase transition and magnetic interactions in Ba$_{3-x}$Sr$_x$Cr$_2$O$_8$