Electronic conduction in Sr$_{2}$RuO$_{4}$ and Sr$_{2}$RhO$_{4}$ thin films

Transition metal oxides belonging to the Ruddelsden-Popper series, e.g., T${^\prime}$-La$_{2}$CuO$_{4}$, Sr$_{2}$RuO$_{4}$, and Sr$_{2}$RhO$_{4}$, share several geometrical- and associated electronic features. In all cases, squares of transition metal oxide layers are separated by insulating layers, hence, the observed electronic conduction is anisotropic. So far, much attention has been attributed to the metallic conduction in cuprates and ruthenates and metallic conduction in rhodates has been sparsely acknowledged. This is partly due to the absence of superconductivity in the RhO$_{2}$ planes. We show that the metallic conduction in RhO$_{2}$ planes is subject to $d_{[Rh-O]}$ distance which can be tuned by epitaxial strain.