Nontrivial Triplon Topology and Triplon Liquid in Kitaev-Heisenberg-type Excitonic Magnets

Abstract

The combination of strong spin-orbit coupling and correlations, e.g. in ruthenates and iridates, has been proposed as a means to realize quantum materials with nontrivial topological properties. We discuss here Mott insulators where onsite spin-orbit coupling favors a local $J_{\text{tot}}=0$ singlet ground state. We investigate excitations into a low-lying triplet, triplons, and find them to acquire nontrivial band topology in a magnetic field. We also comment on magnetic states resulting from triplon condensation, where we find, in addition to the same ordered phases known from the $J_{\text{tot}}=\frac{1}{2}$ Kitaev-Heisenberg model, a triplon liquid taking the parameter space of Kitaev's spin liquid.

References in corpus (36)

• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Mott physics and band topology in materials with strong spin-orbit interaction
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Observation of the Magnon Hall Effect
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Models and Materials for Generalized Kitaev Magnetism
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Topological chiral magnonic edge mode in a magnonic crystal
• Spin-ladders with spin gaps: A description of a class of cuprates
• Orbital order and fluctuations in Mott insulators
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• Higgs mode and its decay in a two dimensional antiferromagnet
• Topological Magnons in Kitaev Magnets at High Fields
• Hall effect of triplons in a dimerized quantum magnet
• New Type Phase Transition of Li2RuO3 with Honeycomb Structure
• Topological Triplon Modes and Bound States in a Shastry-Sutherland Magnet
• Topological excitations in the ferromagnetic Kitaev-Heisenberg model
• Novel magnetic state in $d^4$ Mott insulators
• Topological Insulators on the Decorated Honeycomb Lattice
• Raman scattering from Higgs mode oscillations in the two-dimensional antiferromagnet Ca${}_2$RuO${}_4$
• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Doped Mott Insulators in (111) Bilayers of Perovskite Transition-Metal Oxides with a Strong Spin-Orbit Coupling
• Lattice-Tuned Magnetism of Ru4+(4d4) Ions in Single-Crystals of the Layered Honeycomb Ruthenates: Li2RuO3 and Na2RuO3
• Topological origin of edge states in two-dimensional inversion-symmetric insulators and semimetals
• Unraveling the nature of magnetism of the 5${\mathbf{d}}^4$ double perovskite Ba${}_2$YIrO${}_6$
• J-freezing and Hund's rules in spin-orbit-coupled multiorbital Hubbard models
• Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
• On the possibility of excitonic magnetism in Ir double perovskites
• Doping-Induced Ferromagnetism and Possible Triplet Pairing in d4 Mott Insulators
• Robust singlet dimers with fragile ordering in two-dimensional honeycomb lattice of Li${}_2$RuO${}_3$
• Topological quantum paramagnet in a quantum spin ladder

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• Topological Magnons: A Review
• Spin-orbit-entangled electronic phases in 4$d$ and 5$d$ transition-metal compounds
• Thermal Hall effects in quantum magnets
• Topological magnetic excitations
• Nonmagnetic $J=0$ State and Spin-Orbit Excitations in K${}_2$RuCl${}_6$
• Highly frustrated magnetism in relativistic ${\mathbf{d}}^4$ Mott insulators: Bosonic analog of Kitaev honeycomb model
• Excitonic Magnetism at the intersection of Spin-orbit coupling and crystal-field splitting
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Dirac cones and mass terms in bosonic spectra
• Competing spin-orbital singlet states in the 4$d^4$ honeycomb ruthenate Ag${}_3$LiRu${}_2$O${}_6$
• Dirac Hamiltonians for bosonic spectra
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• MoP${}_3$SiO${}_{11}$: a $4d^3$ honeycomb antiferromagnet with disconnected octahedra
• Magnetic phases for two $t_{2g}$ holes with spin-orbit coupling and crystal field
• Two-triplon excitations of the Kitaev-Heisenberg-Bilayer
• Upper branch thermal Hall effect in quantum paramagnets
• Emergent transverse-field Ising model in ${\mathbf{d}}^4$ spin-orbit Mott insulators
• (H,Li)${}_6$Ru${}_2$O${}_6$ : a possible zero-field Ru${}^{3+}$-based Kitaev Quantum Spin Liquid
• Fluctuation-induced first order phase transitions in Kitaev-like $d^4$ honeycomb magnet
• Superconductivity in the spin-state crossover materials: Nickelates with planar-coordinated low-spin Ni${}^{2+}$ ions
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions