Tuning Crystal Field Potential by Orbital Dilution in $d^4$ Oxides
Wojciech Brzezicki, Filomena Forte, Canio Noce, Mario Cuoco, and Andrzej M. Ole\'s

TL;DR
This paper explores how orbital dilution via doping affects the crystal field potential and orbital order in layered $d^4$ oxides, revealing a mechanism for tuning electronic properties through impurity-induced orbital polarization.
Contribution
It introduces a detailed analysis of impurity effects on spin-orbital coupling and crystal field inversion in strongly correlated $d^4$ oxides, highlighting a novel doping strategy.
Findings
Orbital polarization points towards impurities and outside the impurity-host plane.
Impurity-induced lattice potential can invert the crystal field interaction.
Doping can effectively tune the orbital and electronic structure.
Abstract
We investigate the interplay between Coulomb driven orbital order and octahedral distortions in strongly correlated Mott insulators due to orbital dilution, i.e., doping by metal ions without an orbital degree of freedom. In particular, we focus on layered transition metal oxides and study the effective spin-orbital exchange due to substitution at sites. The structure of the spin-orbital coupling between the impurity and the host in the presence of octahedral rotations favors a distinct type of orbital polarization pointing towards the impurity and outside the impurity--host plane. This yields an effective lattice potential that generally competes with that associated with flat octahedra and, in turn, can drive an inversion of the crystal field interaction.
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