Recent progress on correlated electron systems with strong spin-orbit coupling

Abstract

Emergence of novel quantum ground states in correlated electron systems with strong spin-orbit coupling has been a recent subject of intensive studies. While it has been realized that spin-orbit coupling can provide non-trivial band topology in weakly interacting electron systems, as in topological insulators and semi-metals, the role of electron-electron interaction in strongly spin-orbit coupled systems has not been fully understood. The availability of new materials with significant electron correlation and strong spin-orbit coupling now makes such investigations possible. Many of these materials contain 5d or 4d transition metal elements; the prominent examples are iridium oxides or iridates. In this review, we succinctly discuss recent theoretical and experimental progress on this subject. After providing a brief overview, we focus on pyrochlore iridates and three-dimensional honeycomb iridates. In pyrochlore iridates, we discuss the quantum criticality of the bulk and surface states, and the relevance of the surface/boundary states in a number of topological and magnetic ground states, both in the bulk and thin film configurations. Experimental signatures of these boundary and bulk states are discussed. Domain wall formation and strongly-direction-dependent magneto-transport are also discussed. Regarding the three-dimensional honeycomb iridates, we consider possible quantum spin liquid phases and unusual magnetic orders in theoretical models with strongly bond-dependent interactions. These theoretical ideas and results are discussed in light of recent resonant X-ray scattering experiments on three-dimensional honeycomb iridates. We also contrast these results with the situation in two-dimensional honeycomb iridates. We conclude with the outlook on other related systems.

arXiv comment19 pages plus references, submitted to Reports on Progress in Physics

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Cited by in corpus (94)

• Quantum phases driven by strong correlations
• Probing $\alpha$-RuCl${}_3$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Controllable thickness inhomogeneity and Berry-curvature-engineering of anomalous Hall effect in SrRuO3 ultrathin films
• Kondo Insulator to Semimetal Transformation Tuned by Spin-Orbit Coupling
• Square Lattice Iridates
• Mixing of $t_{2g}$-$e_g$ orbitals in 4d and 5d transition metal oxides
• Topological carbon materials: a new perspective
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Topological Semimetal driven by Strong Correlations and Crystalline Symmetry
• Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $\alpha$-RuCl${}_3$
• Weyl magnons in pyrochlore antiferromagnets with all-in-all-out orders
• An optical investigation of the strong spin-orbital coupled magnetic semimetal YbMnBi${}_2$
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Epitaxial thin films of pyrochlore iridate Bi_{2+x}Ir_{2-y}O_{7-delta}: structure, defects and transport properties
• Synthesis and electronic properties of Ruddlesden-Popper strontium iridate epitaxial thin films stabilized by control of growth kinetics
• Spin-Orbit Excitons in CoO
• Growth and engineering of perovskite SrIrO3 thin films
• Perspective: Strongly correlated and topological states in [111] grown transition metal oxide thin films and heterostructures
• The Jeff=1/2 antiferromagnet Sr2IrO4: A golden avenue toward new physics and functions
• Modified Curie-Weiss Law for $j_{\mathrm{eff}}$ Magnets
• Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: paving a way toward quantum spin liquid
• Quantum phase transitions in Dirac fermion systems
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• Symmetry Enrichment in Three-Dimensional Topological Phases
• Persistent Insulator: Avoidance of Metallization at Megabar Pressures in Strongly Spin-Orbit-Coupled Sr2IrO4
• Magnetism at iridate/manganite interface: influence of strong spin-orbit interaction
• Robust pinning of magnetic moments in pyrochlore iridates
• Correlated Quantum Phenomena of Spin-Orbit Coupled Perovskite Oxide Heterostructures: Cases of SrRuO3 and SrIrO3-Based Artificial Superlattices
• On the saw-tooth torque in anisotropic $j_{\mathrm{eff}}=1/2$ magnets: Application to $\alpha$-RuCl${}_3$
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• Dynamics of a j=3/2 quantum spin liquid
• Strain-modulated Slater-Mott crossover of pseudospin-half square-lattice in (SrIrO3)1/ (SrTiO3)1 superlattices
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Majorana Landau Level Raman Spectroscopy
• Magnetic field induced topological semimetals near a quantum critical point of pyrochlore iridates
• Three-dimensional anomalous twisted gauge theories with global symmetry: Implications for quantum spin liquids
• Spin-orbit effects in pentavalent Iridates: Models and materials
• Comprehensive Control of Metamagnetic Transition of Antiferromagnetic Mott Insulator Sr2IrO4 by in-situ Anisotropic Strain
• Hidden orders in spin-orbit entangled correlated insulators
• Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$
• Topological insulator associated with quantum anomalous Hall phase in ferromagnetic perovskite superlattices
• Quantum Anomalous Hall and Half-metallic Phases in Ferromagnetic (111) Bilayers of 4d and 5d Transition Metal Perovskites
• Classification and properties of quantum spin liquids on the hyperhoneycomb lattice
• Quasimolecular electronic structure of the spin-liquid candidate Ba${}_3$InIr${}_2$O${}_9$
• Resonant inelastic x-ray scattering spectra in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$: First principles calculations
• Low-Temperature Phase of the Cd${}_2$Re${}_2$O${}_7$ Superconductor: Ab initio Phonon Calculations and Raman Scattering
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• Odd-Parity Superconductivity Driven by Octahedra Rotations in Iridium Oxides
• Electronic structure of a graphene-like artificial crystal of $NdNi{O}_3$
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