Prospects for quantum criticality in perovskite ${\mathrm{SrRhO}}_3$

Density-functional studies of the perovskite structure ${\mathrm{SrRhO}}_3$ are reported using the full experimental orthorhombic crystal structure as well as a structure with relaxed atomic coordinates. A very soft ferromagnetic ground state is found as well as flat bands near the Fermi energy, $E_F,$ that couple to the magnetism. As in the ruthenate magnets, a very large oxygen contribution to the magnetic moments is found. In light of experimental data for this compound, it is suggested that ${\mathrm{SrRhO}}_3$ is near a quantum critical point, and that the properties are substantially affected by quantum critical fluctuations.