Pseudo-spin rotation symmetry breaking by Coulomb interaction terms in spin-orbit coupled systems

Abstract

By transforming from the pure-spin-orbital ($t_{2g}$) basis to the spin-orbital entangled pseudo-spin-orbital basis, the pseudo-spin rotation symmetry of the different Coulomb interaction terms is investigated under SU(2) transformation in pseudo-spin space. While the Hubbard and density interaction terms are invariant, the Hund's coupling and pair-hopping interaction terms explicitly break pseudo-spin rotation symmetry systematically. The form of the symmetry-breaking terms obtained from the transformation of the Coulomb interaction terms accounts for the easy $x$-$y$ plane anisotropy and magnon gap for the out-of-plane mode, highlighting the importance of mixing with the nominally non-magnetic $J$=3/2 sector, and providing a physically transparent approach for investigating magnetic ordering and anisotropy effects in perovskite ($\mathrm{S}{\mathrm{r}}_2\mathrm{Ir}{\mathrm{O}}_4$) and other $d^5$ pseudo-spin compounds.

arXiv comment22 pages and 4 figure

References in corpus (22)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Correlated quantum phenomena in the strong spin-orbit regime
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Isospin Dynamics in Sr2IrO4 : Forging Links to Cuprate Superconductivity
• Microscopic study of spin-orbit-induced Mott insulator in Ir oxides
• Excitonic quasiparticles in a spin-orbit Mott insulator
• Square Lattice Iridates
• Magnetic couplings, optical spectra, and spin-orbit exciton in 5d electron Mott insulator Sr2IrO4
• Coulomb Correlations in 4d and 5d Oxides from First Principles - or How Spin-Orbit Materials choose their Effective Orbital Degeneracies
• Pseudospin-lattice coupling in the spin-orbit Mott insulator Sr2IrO4
• Interplay of many-body and single-particle interactions in iridates and rhodates
• The importance of XY anisotropy in Sr2IrO4 revealed by magnetic critical scattering experiments
• Anisotropic exchange and spin-wave damping in pure and electron-doped Sr${}_2$IrO${}_4$
• Correlation effects and hidden spin-orbit entangled electronic order in parent and electron-doped iridates Sr${}_2$IrO${}_4$
• Magnetic excitations in a three-orbital model for the strongly spin-orbit coupled iridates: Effect of mixing between the J=1/2 and 3/2 sectors
• Strong coupling theory of spin and orbital excitations in Sr2IrO4
• Analysis of resonant inelastic x-ray scattering from Sr${}_2$IrO${}_4$ in an itinerant-electron approach
• Magnetic reorientation transition in a three orbital model for $\mathrm{C}{\mathrm{a}}_2\mathrm{Ru}{\mathrm{O}}_4$ -- Interplay of spin-orbit coupling, tetragonal distortion, and Coulomb interactions
• Octahedral tilting induced isospin reorientation transition in iridate heterostructures
• Interplay between Hund's coupling and spin-orbit interaction on elementary excitations in Sr2IrO4
• Correlated motion of particle-hole excitations across the renormalized spin-orbit gap in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ir}{\mathrm{O}}_4$

Cited by in corpus (2)

• Coupled spin-orbital fluctuations in a three orbital model for $4d$ and $5d$ oxides with electron fillings $n=3,4,5$ -- Application to $\mathrm{NaOs}{\mathrm{O}}_3$, $\mathrm{C}{\mathrm{a}}_2\mathrm{Ru}{\mathrm{O}}_4$, and $\mathrm{S}{\mathrm{r}}_2\mathrm{Ir}{\mathrm{O}}_4$
• Microscopic model realization of $\mathbf{d}$-wave pseudospin current order in Sr${}_2$IrO${}_4$