Motivated by recent discussion on possible quantum critical behavior in the coupled Cu-tetrahedra system Cu2Te2O5Br2, we present a comparative ab initio study of the electronic properties of Cu2Te2O5Br2 and the isostructural Cu2Te2O5Cl2. A detailed investigation of the copper-copper interaction paths reveals that the halogen ions play an important role in the inter-tetrahedral couplings via X-4 rings (X=Br, Cl). We find that, contrary to initial indications, both systems show a similar electronic behavior with long range exchange paths mediated by the X-4 rings.
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