The Jahn-Teller effect and spin--orbit coupling: friends or foes?

Abstract

The Jahn-Teller effect is one of the most fundamental phenomena important not only for physics, but also for chemistry and material science. Solving the Jahn-Teller problem and taking into account strong electron correlations we show that quantum entanglement of the spin and orbital degrees of freedom via spin--orbit coupling strongly affects this effect. Depending on the number of $d$ electrons it may quench (electronic configurations $t_{2g}^2$, $t_{2g}^4$, and $t_{2g}^5$), partially suppress ($t_{2g}^1$) or in contrast induce ($t_{2g}^3$) Jahn-Teller distortions. Moreover, in certain situations, interplay between the Jahn-Teller effect and spin--orbit coupling promotes formation of the "Mexican hat" energy surface facilitating various quantum phenomena.

References in corpus (16)

• Topological insulators and superconductors
• Spin Hall effect
• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• Strong electronic correlations from Hund's coupling
• Kitaev quantum spin liquid - concept and materialization
• Exotic phases induced by strong spin-orbit coupling in ordered double perovskites
• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• Spin-orbit coupling in $d^2$ ordered double perovskites
• Novel Magnetism and Local Symmetry Breaking in a Mott Insulator with Strong Spin Orbit Interactions
• Elastic interaction and superstructures in manganites and other Jahn-Teller systems
• Emergent $\mathrm{SU}(4)$ Symmetry in $\alpha$-ZrCl${}_3$ and Crystalline Spin-Orbital Liquids
• Ordering of hidden multipoles in spin-orbital entangled 5$d^1$ Ta chlorides
• Pseudo Jahn-Teller Effect and Magnetoelastic Coupling in Spin-Orbit Mott Insulators
• Why stripes? Spontaneous formation of inhomogeneous structures due to elastic interactions
• Spin-orbital-lattice entangled states in cubic $d^1$ double perovskites
• Jahn-Teller effect in systems with strong on-site spin-orbit coupling

Cited by in corpus (27)

• Orbital effects in solids: basics, recent progress and opportunities
• Chirality-Induced Spin Filtering in Pseudo Jahn-Teller Molecules
• Interplay of the Jahn--Teller Effect and Spin-Orbit Coupling: The Case of Trigonal Vibronic Modes
• The origin of magnetism in a supposedly nonmagnetic osmium oxide
• Phase transition in the 5d1 double perovskite Ba2CaReO6 induced by high magnetic field
• Interplay of magnetic order and ferroelasticity in the spin-orbit coupled antiferromagnet K${}_2$ReCl${}_6$
• Spin-orbital correlations from complex orbital order in MgV${}_2$O${}_4$
• Local symmetry breaking and low-energy continuum in K${}_2$ReCl${}_6$
• Spin-orbit coupling in a half-filled $t_{2g}$ shell: the case of $5d^3$ K${}_2$ReCl${}_6$
• Phonon-driven multipolar dynamics in a spin-orbit coupled Mott insulator
• Bond Ordering and Molecular Spin-Orbital Fluctuations in the Cluster Mott Insulator GaTa${}_4$Se${}_8$
• Spin-orbit coupling and crystal-field splitting in Ti-doped Ca2RuO4 studied by ellipsometry
• Spin-orbital-lattice entanglement in the ideal j=1/2 compound K${}_2$IrCl${}_6$
• Magnetic oxides
• Electronic structure of the frustrated diamond lattice magnet NiRh${}_2$O${}_4$
• Dynamic Jahn-Teller Phenomena in Heavy Transition Metal Compounds
• Jahn-Teller states mixed by spin-orbit coupling in an electromagnetic field
• Spin-orbit coupling induced orbital entanglement in a three-band Hubbard model
• Rotational phase transitions in antifluorite-type osmate and iridate compounds
• Orbital-slective behaviour in cubanite CuFe2S3
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• Structural stability of CuAl${}_2$O${}_4$ under pressure
• Persistent quantum vibronic dynamics in a $5d^1$ double perovskite oxide
• Coupled-cluster approach to vibronic effects in resonant inelastic x-ray scattering of quantum materials: Application to a $5d^1$ rhenium oxide
• Possibility of ferro-octupolar order in Ba${}_2$CaOsO${}_6$ assessed by X-ray magnetic dichroism measurements
• Structural studies on $A_2$ReCl${}_6$ ($A$=K, Rb, Cs): absence of Jahn-Teller distortion
• Magnetic resonance study of rare-earth titanates