Interplay of the Jahn--Teller Effect and Spin-Orbit Coupling: The Case of Trigonal Vibronic Modes

Abstract

We study an interplay between the orbital degeneracy and spin-orbit coupling giving rise to spin-orbital entangled states. As a specific example, we analyze the interaction of electrons occupying triply degenerate single-ion $t_{2g}$ levels with trigonal vibronic modes (the $t\otimes T$ problem). A more general problem of the electron-lattice interaction involving both tetragonal and trigonal vibrations is also considered. It is shown that the result of such interaction crucially depends on the occupation of $t_{2g}$ levels leading to either the suppression or enhancement of the Jahn-Teller effect by the spin-orbit coupling.

11 pages, 10 figures

References in corpus (8)

• Strong electronic correlations from Hund's coupling
• Ferromagnetism in the Mott insulator Ba2NaOsO6
• Testing the validity of the strong spin-orbit-coupling limit for octahedrally coordinated iridates in a model system Sr${}_3$CuIrO${}_6$
• Novel Magnetism and Local Symmetry Breaking in a Mott Insulator with Strong Spin Orbit Interactions
• The Jahn-Teller effect and spin--orbit coupling: friends or foes?
• Exchange interactions, Jahn-Teller coupling, and multipole orders in pseudospin one-half $5{\mathbf{d}}^2$ Mott insulators
• Ferro-octupolar order and low-energy excitations in d${}^2$ double perovskites of Osmium
• Interplay between multipolar spin interactions, Jahn-Teller effect and electronic correlation in a $J_{eff}=\frac{3}{2}$ insulator

Cited by in corpus (8)

• The origin of magnetism in a supposedly nonmagnetic osmium oxide
• Spin-orbital Jahn-Teller bipolarons
• Hidden orders in spin-orbit entangled correlated insulators
• Spin-orbit-entangled electronic structure of Ba${}_2$CaOsO${}_6$ studied by O $K$-edge resonant inelastic X-ray scattering
• Dynamic Jahn-Teller Phenomena in Heavy Transition Metal Compounds
• Spin-orbit coupling induced orbital entanglement in a three-band Hubbard model
• Coupled-cluster approach to vibronic effects in resonant inelastic x-ray scattering of quantum materials: Application to a $5d^1$ rhenium oxide
• Sr4Os3O12- A Layered Osmate (V,VI) that is Magnetic close to Room Temperature