Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides

Abstract

The expected phenomenology of non-interacting topological band insulators (TBI) is now largely theoretically understood. However, the fate of TBIs in the presence of interactions remains an active area of research with novel, interaction-driven topological states possible, as well as new exotic magnetic states. In this work we study the magnetic phases of an exchange Hamiltonian arising in the strong interaction limit of a Hubbard model on the honeycomb lattice whose non-interacting limit is a two-dimensional TBI recently proposed for the layered heavy transition metal oxide compound, (Li,Na)${}_2$IrO${}_3$. By a combination of analytical methods and exact diagonalization studies on finite size clusters, we map out the magnetic phase diagram of the model. We find that strong spin-orbit coupling can lead to a phase transition from an antiferromagnetic Neél state to a spiral or stripy ordered state. We also discuss the conditions under which a quantum spin liquid may appear in our model, and we compare our results with the different but related Kitaev-Heisenberg-$J_2$-$J_3$ model which has recently been studied in a similar context.

12 pages, 8 figures

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Cited by in corpus (32)

• Colloquium: Topological Band Theory
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Correlation effects in two-dimensional topological insulators
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
• Z_2-vortex lattice in the ground state of the triangular Kitaev-Heisenberg model
• Spiral order in the honeycomb iridate Li2IrO3
• Rashba spin orbit coupling in the Kane-Mele-Hubbard model
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Haldane-Hubbard Mott Insulator: From Tetrahedral Spin Crystal to Chiral Spin Liquid
• Global phase diagram, possible chiral spin liquid and topological superconductivity in the triangular Kitaev-Heisenberg model
• Topological phases in layered pyrochlore oxide thin films along the [111] direction
• Lattice distortion effects on topological phases in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the [111] direction
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Quantum spin liquid ground states of the Heisenberg-Kitaev model on the triangular lattice
• Mean field study of the topological Haldane-Hubbard model of spin-$1/2$ fermions
• Schwinger boson theory of ordered magnets
• Continuous control of classical-quantum crossover by external high pressure in the coupled chain compound CsCuCl${}_3$
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Topological spin liquids in the ruby lattice with anisotropic Kitaev interactions
• Epitaxial Growth of (1 1 1)-Oriented Spinel CoCr${}_2$O${}_4$/Al${}_2$O${}_3$ Heterostructures
• Quasiparticles and charge transfer at the two surfaces of the honeycomb iridate Na${}_2$IrO${}_3$
• Compass and Kitaev models -- Theory and Physical Motivations
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Quantum phase transitions of topological insulators without gap closing
• Distinct-symmetry spin liquid states and phase diagram of Kitaev-Hubbard model
• Phase diagram and thermal Hall conductivity of spin-liquid Kekulé-Kitaev model
• Chiral bosonic quantum spin liquid in the integer-spin Heisenberg-Kitaev model
• Zero Temperature Phase Diagram of the Classical Kane-Mele-Heisenberg Model
• Order-by-disorder from Schwinger bosons in a frustrated honeycomb ferromagnet
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids