Mitchell's research focuses on strategic synthesis, crystal growth, and structural studies of correlated electron transition metal oxides and
chalcogenides, principally using neutron and x-ray scattering. He has coordinated the development team for a high-resolution powder diffractometer at the Advanced Photon Source, and led Argonne's strategic initiative in Materials and Molecular Design and Discovery. Mitchell has also led a project study in the DOE Center of Excellence for the Synthesis and Processing of Advanced Materials, entitled, "Spin Polarized Transport in Complex Oxides". Early in his career, Mitchell focused on understanding the electronic and magnetic properties of 2D manganese oxides that exhibit colossal magnetoresistance (CMR). Among several key findings, Mitchell's work directly led to the widespread understanding of local polaronic distortions and the 'melting' of their short-range correlations as a mechanism behind the CMR effect. Turning to heavy transition metals, Mitchell explored the behavior of iridium based oxides in which electron correlation and spin-orbit coupling meet on similar energy scales. Mitchell's group discovered evidence for electronic and magnetic properties in these systems that parallel those found in high-temperature copper oxide superconductors. Mitchell's group also found direct evidence of bond-directional anisotropy in the candidate quantum spin liquid Na2IrO3, validating the dominant role of this interaction. Mitchell then discovered routes to grow single crystals of two-dimensional nickel oxides that, like the iridium systems, mimic cuprate superconductors. In a series of papers he and his group showed that these nickel oxides exhibit stripe phases, intertwined density waves, and strong in-plane orbital polarization believed to be key to superconductivity. ==Honors and awards==