Effect of Spin-Orbit Interaction on (4d)^3- and (5d)^3 -Based Transition-Metal Oxides

TL;DR

This paper investigates how spin-orbit interaction influences the magnetic moments of (4d)^3- and (5d)^3-based transition-metal oxides, revealing a reduction in magnetic moments and positioning these materials between L-S and J-J coupling schemes.

Contribution

It provides a numerical analysis of spin-orbit effects on magnetic moments in (4d)^3- and (5d)^3-based oxides, highlighting their intermediate coupling regime.

Findings

Magnetic moments are reduced by spin-orbit interaction.

(4d)^3- and (5d)^3-based oxides are intermediate between L-S and J-J coupling schemes.

Spin-orbit interaction significantly influences magnetic properties.

Abstract

The effects of a spin-orbit interaction on transition-metal ions of (4d)^3- and (5d)^3 -based oxides in which three electrons occupy t_{2g} orbitals are studied. The amplitude of the magnetic moment of d electrons on the 5d and 4d orbitals is estimated by numerical diagonalization. It is found that the magnetic moment is reduced by the spin-orbit interaction. It is suggested that (4d)^3- and (5d)^3 -based oxides are located in the middle of the L-S and J-J coupling schemes.