Abstract
We study the evolution of spin-orbital correlations in an inhomogeneous quantum system with an impurity replacing a doublon by a holon orbital degree of freedom. Spin-orbital entanglement is large when spin correlations are antiferromagnetic, while for a ferromagnetic host we obtain a chain with only orbital interactions. In this regime, the orbital model can be mapped on spinless fermions and we uncover topological phases with zero energy modes at the edge or at the domain between magnetically inequivalent regions.
Highlights
Transition metal oxides are fascinating materials where several degrees of freedom couple and, from a theoretical point of view, need to be treated on equal footing in order to provide reliable predictions
The purpose of the paper is to investigate the consequences of charge dilution in a t2g system due to the substitution of a d4 by a d2 transition metal ion
At finite η2, one always gets a regime with a non-trivial topological phase with respect to the Jordan-Wigner fermionic representation
Summary
Transition metal oxides are fascinating materials where several degrees of freedom (i.e., spin, orbital, charge, etc.) couple and, from a theoretical point of view, need to be treated on equal footing in order to provide reliable predictions. The purpose of the paper is to investigate the consequences of charge dilution in a t2g system due to the substitution of a d4 by a d2 transition metal ion Such type of doping allows to uniquely design a spinorbital correlated environment with an orbital degree of freedom having an inequivalent charge character. As an experimental motivation we mention, among the various emergent phenomena and the many possible hybrid oxides which could be designed, that (i) dilute Cr doping for Ru reduces the temperature of the orthorhombic distortion, induces ferromagnetic (FM) order and anomalous negative thermal expansion in Ca2Ru1−xCrxO4 (with 0 < x < 0.13) [35], and (ii) Mn-substituted single crystals of Sr3Ru2−xMnxO7 rapidly drive an unusual metal-insulator transition and E-. We give reasons why the FM regime is well designed to search for topological aspects of the present model
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