Kitaev Materials

Abstract

In transition-metal compounds with partially filled $4d$ and $5d$ shells spin-orbit entanglement, electronic correlations, and crystal-field effects conspire to give rise to a variety of novel forms of topological quantum matter. This includes Kitaev materials -- a family of spin-orbit assisted Mott insulators, in which local, spin-orbit entangled $j=1/2$ moments form that are subject to strong bond-directional interactions. On a conceptual level, Kitaev materials attract much interest for their unconventional forms of magnetism, such as spin liquid physics in two- and three-dimensional lattice geometries or the formation of non-trivial spin textures. Experimentally, a number of Kitaev materials have been synthesized, which includes the honeycomb materials Na${}_2$IrO${}_3$, $\alpha$-Li${}_2$IrO${}_3$, and RuCl${}_3$, the triangular materials Ba${}_3$Ir${}_x$Ti${}_{3-x}$O${}_9$, as well as the three-dimensional hyper-honeycomb and stripy-honeycomb materials $\beta$-Li${}_2$IrO${}_3$ and $\gamma$-Li${}_2$IrO${}_3$. These lecture notes provide a short review of the current status of the theoretical and experimental exploration of these Kitaev materials.

24 pages + references, short review for lecture notes of the Julich spring school "Topological Matter" (April 2017)

Cited by in corpus (78)

• Models and Materials for Generalized Kitaev Magnetism
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Interacting topological insulators: a review
• Phase Diagram of $\alpha$-RuCl${}_3$ in an in-plane Magnetic Field
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Kitaev Spin Liquid in 3d Transition Metal Compounds
• Spin-orbit-entangled electronic phases in 4$d$ and 5$d$ transition-metal compounds
• Quantization of the thermal Hall conductivity at small Hall angles
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Approximately quantized thermal Hall effect of chiral liquids coupled to phonons
• Honeycomb Layered Oxides: Structure, Energy Storage, Transport, Topology and Relevant Insights
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• Fingerprints of Kitaev physics in the magnetic excitations of honeycomb iridates
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$
• High-Field Quantum Disordered State in $\alpha$-RuCl3: Spin Flips, Bound States, and a Multi-Particle Continuum
• Theory of two-dimensional nonlinear spectroscopy for the Kitaev spin liquid
• Breakdown of magnetic order in the pressurized Kitaev iridate $\beta$-Li${}_2$IrO${}_3$
• Unusual heat transport of the Kitaev material Na${}_2$Co${}_2$TeO${}_6$: putative quantum spin liquid and low-energy spin excitations
• Spin-orbit entangled j=1/2 moments in Ba${}_2$CeIrO${}_6$ -- a frustrated fcc quantum magnet
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Classical and quantum spin dynamics of the honeycomb $\Gamma$ model
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• Field-Driven Gapless Spin Liquid in the Spin-1 Kitaev Honeycomb Model
• Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Emergence of a nematic paramagnet via quantum order-by-disorder and pseudo-Goldstone modes in Kitaev magnets
• Local Magnetism and Spin Dynamics of the Frustrated Honeycomb Rhodate Li2RhO3
• Crystalline Kitaev spin liquids
• Revisiting the Kitaev material candidacy of Ir4+ double perovskite iridates
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Temperature evolution of spin dynamics in two- and three-dimensional Kitaev models: Influence of fluctuating gauge fluxes
• Modified Curie-Weiss Law for $j_{\mathrm{eff}}$ Magnets
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• Majorana representations of spin and an alternative solution of the Kitaev honeycomb model
• Theory of a quantum spin liquid in hydrogen-intercalated honeycomb iridate, H3LiIr2O6
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
• Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks
• Edge magnetization and spin transport in an SU(2)-symmetric Kitaev spin liquid
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Stacking faults in $\alpha$-RuCl${}_3$ revealed by local electric polarization
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Non-Abelian chiral spin liquid on a simple non-Archimedean lattice
• Topological superconductivity in the extended Kitaev-Heisenberg model
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Structural, thermodynamic, and local probe investigations of a honeycomb material Ag${}_3$LiMn${}_2$O${}_6$
• Three-band Hubbard model for Na${}_2$IrO${}_3$: Topological insulator, zigzag antiferromagnet, and Kitaev-Heisenberg material
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Two-Magnon Bound States in the Kitaev Model in a $[111]$-Field
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• Non-Kitaev spin liquids in Kitaev materials
• Ground-state properties of the $K-\Gamma$ model on a honeycomb lattice
• Majorana edge magnetization in the Kitaev honeycomb model
• Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field
• Acoustic phonon dispersion of $\alpha$-RuCl${}_3$
• Reentrant incommensurate order and anomalous magnetic torque in the Kitaev magnet $\beta$-${\text{Li}}_2{\text{IrO}}_3$
• Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Role of Majorana fermions in spin transport of anisotropic Kitaev model
• Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
• Symmetry-protected topological magnons in three dimensional Kitaev materials
• Scattering phenomena for spin transport in Kitaev spin liquid
• Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
• Competition between Kondo and Kitaev Physics in Kitaev clusters coupled to a fermionic bath
• Phase diagram and thermal Hall conductivity of spin-liquid Kekulé-Kitaev model
• Quantized thermal Hall conductance from edge current calculations in lattice models
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Topological quantum phase transitions of anisotropic AFM Kitaev model driven by magnetic field
• Magnetic correlations in the semimetallic hyper-kagome iridate Na3Ir3O8