Orbital effects in solids: basics, recent progress and opportunities

Abstract

The properties of transition metal compounds are largely determined by nontrivial interplay of different degrees of freedom: charge, spin, lattice, but also orbital ones. Especially rich and interesting effects occur in systems with orbital degeneracy. They result in the famous Jahn-Teller effect leading to a plethora of consequences, in static and in dynamic properties, including nontrivial quantum effects. In the present review we discuss the main phenomena in the physics of such systems, paying central attention to the novel manifestations of those. After shortly summarising the basic phenomena and their description, we concentrate on several specific directions in this field. One of them is the reduction of effective dimensionality in many systems with orbital degrees of freedom due to directional character of orbitals, with concomitant appearance of some instabilities leading in particular to the formation of dimers, trimers and similar clusters in a material. The properties of such cluster systems, largely determined by their orbital structure, are discussed in detail, and many specific examples of those in different materials are presented. Another big field which acquired special significance relatively recently is the role of relativistic spin-orbit interaction. The mutual influence of this interaction and the more traditional Jahn-Teller physics is treated in details in the second part of the review. In discussing all these questions special attention is paid to novel quantum effects in those.

published in Chemical Reviews

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Cited by in corpus (77)

• Observation of the orbital Hall effect in a light metal Ti
• Orbitronics: Orbital Currents in Solids
• Electronic structure, dimer physics, orbital-selective behavior, and magnetic tendencies in the bilayer nickelate superconductor La${}_3$Ni${}_2$O${}_7$ under pressure
• Dynamic Jahn-Teller effect in the strong spin-orbit coupling regime
• Orbital-selective Peierls phase in the metallic dimerized chain MoOCl${}_2$
• Interplay of the Jahn--Teller Effect and Spin-Orbit Coupling: The Case of Trigonal Vibronic Modes
• Magnetic phase diagram and possible Kitaev-like behavior of honeycomb-lattice antimonate Na3Co2SbO6
• Soft-phonon and charge-density-wave formation in nematic BaNi${}_2$As${}_2$
• Generalized Rashba Electron-Phonon Coupling and Superconductivity in Strontium Titanate
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Spin-orbital Jahn-Teller bipolarons
• Ground-state structure, orbital ordering and metal-insulator transition in double-perovskite PrBaMn2O6
• Hidden orders in spin-orbit entangled correlated insulators
• Magnetic molecular orbitals in MnSi
• Observation of local atomic displacements intrinsic to the double zigzag chain structure of 1T-MTe2 (M = V, Nb, Ta)
• Orbital Peierls mechanism of the formation of molecular clusters in Na2Ti3Cl8 and in similar systems
• Stability of the novel interorbital-hopping mechanism for ferromagnetism in multi-orbital Hubbard models
• Exploring the role of nonlocal Coulomb interactions in perovskite transition metal oxides
• Spin dynamics of the generalized quantum spin compass chain
• Ferromagnetic ferroelectricity due to the Kugel-Khomskii mechanism of the orbital ordering assisted by atomic Hund's second rule effects
• Quasimolecular electronic structure of the spin-liquid candidate Ba${}_3$InIr${}_2$O${}_9$
• Quasimolecular $J_{\mathrm{tet}}$=3/2 moments in the cluster Mott insulator GaTa${}_4$Se${}_8$
• Valence bond glass state in the 4$d^1$ fcc antiferromagnet Ba${}_2$LuMoO${}_6$
• Single-crystal study of the honeycomb XXZ magnet BaCo${}_2$(PO${}_4$)${}_2$ in magnetic fields
• Short-range order and increased transition temperature in LiVO2 with weakened trimer frustration
• RIXS interferometry and the role of disorder in the quantum magnet Ba${}_3$Ti${}_{3-x}$Ir${}_x$O${}_9$
• (Anti-)Altermagnetism from Orbital Ordering in the Ruddlesden-Popper Chromates Sr${}_{n+1}$Cr${}_n$O${}_{3n+1}$
• Na9Bi5Os3O24: A Unique Diamagnetic Oxide Featuring a Pronouncedly Jahn-Teller Compressed Octahedral Coordination of Osmium(VI)
• Charge-ordered state satisfying the Anderson condition in LiRh2O4 arising from local dimer order
• Low temperature dynamic polaron liquid in a manganite exhibiting colossal magnetoresistance
• Electronic excitations in $5d^4$ J=0 Os${}^{4+}$ halides studied by RIXS and optical spectroscopy
• Zoology of spin and orbital fluctuations in ultrathin oxide films
• Spin-orbital correlations from complex orbital order in MgV${}_2$O${}_4$
• Cluster rearrangement by chiral charge order in lacunar spinel GaNb${}_4$Se${}_8$
• Spin Quenching and Transport by Hidden Dzyaloshinskii-Moriya Interactions
• Anisotropic Rashba coupling to polar modes in KTaO3
• 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-orbit coupling in a half-filled $t_{2g}$ shell: the case of $5d^3$ K${}_2$ReCl${}_6$
• 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
• Nonlinear optics driven magnetism reorientation in semiconductors
• Spin-orbital-lattice entanglement in the ideal j=1/2 compound K${}_2$IrCl${}_6$
• Antiferromagnetic Chern insulator with large charge gap in heavy transition-metal compounds
• Widely Spaced Planes of Magnetic Dimers in the Ba6Y2Rh2Ti2O17-δ Hexagonal Perovskite
• Coexisting Z-type charge and bond order in metallic NaRu${}_2$O${}_4$
• Jahn-Teller states mixed by spin-orbit coupling in an electromagnetic field
• Spin-orbit coupling induced orbital entanglement in a three-band Hubbard model
• Pressure-induced transition from Jeff=1/2 to S=1/2 states in CuAl2O4
• Orthorhombic and triclinic modifications of the arsenate Cu4O(AsO4)2 and isotypic phosphates Cu4O(PO4)2: strongly frustrated antiferromagnetics
• Zigzag chain order of LiVSe${}_2$ developing away from the vanadium trimer phase transition boundary
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• A possible spin Jahn-Teller material: ordered pseudobrookite FeTi2O5
• On the complexity of spinels: Magnetic, electronic, and polar ground states
• Orbital-slective behaviour in cubanite CuFe2S3
• Varying magnetism in the lattice distorted Y2NiIrO6 and La2NiIrO6
• J = 0 nonmagnetic insulating state in K${}_2$Os$X_6$ (X = F, Cl and Br)
• Doping effects on the valence bond solid of Li${}_2$RuO${}_3$ with Mn substitution
• Evidence of temperature-dependent interplay between spin and orbital moment in van der Waals ferromagnet VI3
• Extreme disorder in crystalline perovskite oxide: a new paradigm in quantum materials research
• Ferromagnetic half-metallicity in YBaCo2O6 and spin-states driven metal-insulator transition
• Raman spectroscopy of Na${}_3$Co${}_2$SbO${}_6$
• Quasimolecular electronic structure of the trimer iridate Ba${}_4$NbIr${}_3$O${}_{12}$
• Structural dimerization and charge-orbital ordering in a ferromagnetic semiconductor LiV2S4 monolayer
• Broken inversion symmetry in the charge density wave phase in EuAl${}_4$
• Possibility of ferro-octupolar order in Ba${}_2$CaOsO${}_6$ assessed by X-ray magnetic dichroism measurements
• Spin-dependent anisotropic electron-phonon coupling in KTaO${}_3$
• Orbital disorder and ordering in NaTiSi2O6: 29Si and 23Na NMR Study
• Linear dichroic x-ray absorption response of Ti-Ti dimers along the $c$ axis in Ti${}_2$O${}_3$ upon Mg substitution
• S. Vonsovsky and the dawn of the theory of strongly correlated systems
• Structural studies on $A_2$ReCl${}_6$ ($A$=K, Rb, Cs): absence of Jahn-Teller distortion
• Quantitative determination of the orbital-selective Mott transition and quantum entanglement in the orbital-selective Mott phase
• Ferromagnetic Ferroelectricity due to Orbital Ordering
• High-Temperature Quantum Anomalous Hall Effect in Buckled Honeycomb Antiferromagnets
• Tuning the Chern number of Kitaev quantum spin liquid
• Sr4Os3O12- A Layered Osmate (V,VI) that is Magnetic close to Room Temperature
• Kinetic Energy Driven Ferromagnetic Insulator