Topological quantum phase transition driven by anisotropic spin-orbit coupling in trinuclear organometallic coordination crystals

Abstract

We show how quasi-one-dimensional correlated insulating states arise at two-thirds filling in organometallic multinuclear coordination complexes described by layered decorated honeycomb lattices. The interplay of spin-orbit coupling and electronic correlations leads to pseudospin-1 moments arranged in weakly coupled chains with highly anisotropic exchange and a large trigonal splitting. This leads to a quantum phase transition from a Haldane phase to a topologically trivial phase as the relative strength of the spin-orbit coupling increases.

5 pages, 4 Figures

References in corpus (25)

• Topological Insulators
• Topological insulators and superconductors
• 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
• Correlated quantum phenomena in the strong spin-orbit regime
• Mott physics and band topology in materials with strong spin-orbit interaction
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Topological Kondo Insulators
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Superconductivity in quasi-one-dimensional K${}_2$Cr${}_3$As${}_3$ with significant electron correlations
• Importance of anisotropic exchange interactions in honeycomb iridates. Minimal model for zigzag antiferromagnetic order in Na${}_2$IrO${}_3$
• Theories of phosphorescence in organo-transition metal complexes - from relativistic effects to simple models and design principles for organic light-emitting diodes
• Scaling Properties of Fidelity in Spin-one Anisotropic Model
• Ferromagnetism, paramagnetism and a Curie-Weiss metal in an electron doped Hubbard model on a triangular lattice
• Quantum Phase Diagram and Excitations for the One-Dimensional S=1 Heisenberg Antiferromagnet with Single-Ion Anisotropy
• Accurate determination of the Gaussian transition in spin-1 chains with single-ion anisotropy
• Interplay of many-body and single-particle interactions in iridates and rhodates
• Formation of Molecular-Orbital Bands in a Twisted Hubbard Tube: Implications for Unconventional Superconductivity in K2Cr3As3
• Ground-state fidelity of the spin-1 Heisenberg chain with single ion anisotropy: quantum renormalization group and exact diagonalization approaches
• Topological spin liquid phase in a low-dimensional organic molecular compound
• Emergence of quasi-one-dimensional physics in Mo${}_3$S${}_7$(dmit)${}_3$, a nearly-isotropic three-dimensional molecular crystal
• Conservation laws, radiative decay rates, and excited state localization in organometallic complexes with strong spin-orbit coupling
• Low-energy effective theories of the two-thirds filled Hubbard model on the triangular necklace lattice
• Dimensional Crossover in Quasi-one-dimensional Spin-1 Heisenberg Antiferromagnets

Cited by in corpus (10)

• Importance of Spin-Orbit Coupling in Organic BEDT-TTF and BEDT-TSF Salts
• Role of quantum fluctuations on spin liquids and ordered phases in the Heisenberg model on the honeycomb lattice
• Spin-orbit coupling and strong electronic correlations in cyclic molecules
• Heisenberg and Dzyaloshinskii-Moriya interactions controlled by molecular packing in tri-nuclear organometallic clusters
• Haldane insulator protected by reflection symmetry in the doped Hubbard model on the three-legged ladder
• Spin-orbit coupling in {Mo${}_3$S${}_7$(dmit)${}_3$}
• Spin-$0$ Mott insulator to metal to spin-$1$ Mott insulator transition in the single-orbital Hubbard model on the decorated honeycomb lattice
• Multiple insulating phases due to the interplay of strong correlations and lattice geometry in a single-orbital Hubbard model
• Effects of anisotropy in spin molecular-orbital coupling on effective spin models of trinuclear organometallic complexes
• A theory of the quantum spin liquid in the hyper-honeycomb metal-organic framework [(C${}_2$H${}_5$)${}_3$NH]${}_2$Cu${}_2$(C${}_2$O${}_4$)${}_3$ from first principles