Possible proximity of the Mott insulating Iridate Na2IrO3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field

Abstract

Motivated by the recent experimental observation of a Mott insulating state for the layered Iridate Na2IrO3, we discuss possible ordering states of the effective Iridium moments in the presence of strong spin-orbit coupling and a magnetic field. For a field pointing in the [111] direction - perpendicular to the hexagonal lattice formed by the Iridium moments - we find that a combination of Heisenberg and Kitaev exchange interactions gives rise to a rich phase diagram with both symmetry breaking magnetically ordered phases as well as a topologically ordered phase that is stable over a small range of coupling parameters. Our numerical simulations further indicate two exotic multicritical points at the boundaries between these ordered phases.

arXiv comment5 pages, 6 figures

References in corpus (24)

• Topological Insulators
• Anyons in an exactly solved model and beyond
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• A toolbox for lattice spin models with polar molecules
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Mott physics and band topology in materials with strong spin-orbit interaction
• Topological Kondo Insulators
• Topological Mott Insulators
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Tensor-entanglement renormalization group approach to 2D quantum systems
• Topological insulators and metal-insulator transition in the pyrochlore iridates
• Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
• Low-energy effective theory of the toric code model in a parallel field
• Robustness of a perturbed topological phase
• Topological multicritical point in the Toric Code and 3D gauge Higgs Models
• Three-dimensional Topological Insulators on the Pyrochlore Lattice
• Orbital ordering and frustration of $p$-band Mott-insulators
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Orbital order in Mott insulators of spinless p-band fermions
• Topology driven quantum phase transitions in time-reversal invariant anyonic quantum liquids

Cited by in corpus (174)

• New directions in the pursuit of Majorana fermions in solid state systems
• Quantum Spin Liquid States
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Kitaev quantum spin liquid - concept and materialization
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Models and Materials for Generalized Kitaev Magnetism
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• The monoclinic crystal structure of $\alpha$-RuCl${}_3$ and the zigzag antiferromagnetic ground state
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Direct evidence of a zigzag spin chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation on single crystal $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• Semimetal and Topological Insulator in Perovskite Iridates
• Hunting Majorana Fermions in Kitaev Magnets
• Finite-temperature phase diagram of the Heisenberg-Kitaev model
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Kitaev-Heisenberg-J2-J3 model for the iridates A2IrO3
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Doping a spin-orbit Mott Insulator: Topological Superconductivity from the Kitaev-Heisenberg Model and possible application to (Na2/Li2)IrO3
• Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices
• Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals
• Dynamics of the Kitaev-Heisenberg Model
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Thermal Transport in the Kitaev Model
• Three dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite-D approximation
• Theory of the field-revealed Kitaev spin liquid
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Low-energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit
• Critical properties of the Kitaev-Heisenberg model
• Frustration and quantum criticality
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Heisenberg-Kitaev physics in magnetic fields
• Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
• Quantum Phase Transition in Heisenberg-Kitaev Model
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• Real-Space Parallel Density Matrix Renormalization Group
• Mixing of $t_{2g}$-$e_g$ orbitals in 4d and 5d transition metal oxides
• A structural distortion induced magneto-elastic locking in Sr${}_2$IrO${}_4$ revealed through nonlinear optical harmonic generation
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• One Proximate Kitaev Spin Liquid in the $K$-$J$-$\Gamma$ Model on the Honeycomb Lattice
• Anyonic quantum spin chains: Spin-1 generalizations and topological stability
• Physical solutions of the Kitaev honeycomb model
• Direct observation of the Dirac nodes lifting in semimetallic perovskite SrIrO3 thin films
• Dimensionality controlled Mott transition and correlation effects in single- and bi-layer perovskite iridates
• Spin-Orbital Locking, Emergent Pseudo-Spin, and Magnetic order in Honeycomb Lattice Iridates
• Magnetic thermal conductivity far above the Néel temperatures in the Kitaev-magnet candidate $\alpha$-RuCl${}_3$
• Unified theory of spiral magnetism in the harmonic-honeycomb iridates α, β, γ Li2IrO3
• Antiferromagnetic order and domains in Sr3Ir2O7 probed by x-ray resonant scattering
• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Successive Majorana Topological Transitions Driven by a Magnetic Field in the Kitaev Model
• Direct Evidence for the 'All-in/All-out' Magnetic Structure in the Pyrochlore Iridates from $\mu$SR
• SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Identification of Magnetic Interactions and High-field Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Theory of magnetism and metal-insulator transition in layered perovskite iridates
• Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
• Mott Variable Range Hopping and Weak Antilocalization Effect in Heteroepitaxial Na2IrO3 Thin Films
• Probing the stability of the spin liquid phases in the Kitaev-Heisenberg model using tensor network algorithms
• Interacting non-Abelian anyons as Majorana fermions in the honeycomb lattice model
• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
• Disorder-induced Majorana metal in interacting non-Abelian anyon systems
• Experimental signatures of quantum and topological states in frustrated magnetism
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• Li${}_2$RhO${}_3$: A spin-glassy relativistic Mott insulator
• Effect of spin orbit coupling and Hubbard $U$ on the electronic structure of IrO${}_2$
• Quantum order by disorder in the Kitaev model on a triangular lattice
• Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $\alpha$-RuCl${}_3$
• Perturbed vortex lattices and the stability of nucleated topological phases
• Field-Driven Gapless Spin Liquid in the Spin-1 Kitaev Honeycomb Model
• Kitaev-Heisenberg model in a magnetic field: order-by-disorder and commensurate-incommensurate transitions
• Floquet engineering in superconducting circuits: from arbitrary spin-spin interactions to the Kitaev honeycomb model
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• On the magnetic structure of Sr3Ir2O7: an x-ray resonant scattering study
• The interplay of Dzyaloshinskii-Moriya and Kitaev interactions for magnonic properties of Heisenberg-Kitaev honeycomb ferromagnets
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Two iridates, two models, two approaches: a comparative study on magnetism in 3D honeycomb materials
• Magnetism in spin models for depleted honeycomb-lattice iridates: Spin-glass order towards percolation
• Magnetic ordering with an XY-like anisotropy in the honeycomb lattice iridates ZnIrO${}_3$ and MgIrO${}_3$ synthesized via a metathesis reaction
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Ni${}_2$Mo${}_3$O${}_8$: zig-zag antiferromagnetic order an integer spin non-centrosymmetric honeycomb lattice
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• Effects of spin vacancies on magnetic properties of the Kitaev-Heisenberg model
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model
• Crystalline Kitaev spin liquids
• Revisiting the Kitaev material candidacy of Ir4+ double perovskite iridates
• Fidelity susceptibility in the two-dimensional spin-orbit models
• From a quasimolecular band insulator to a relativistic Mott insulator in $t_{2g}^5$ systems with a honeycomb lattice structure
• Floquet engineering of Kitaev quantum magnets
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Magnetic anisotropy of the alkali iridate Na${}_2$IrO${}_3$ at high magnetic fields: evidence for strong ferromagnetic Kitaev correlations
• Novel chiral quantum spin liquids in Kitaev magnets
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Ground-state phase diagram of spin-$S$ Kitaev-Heisenberg models
• Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
• Spin correlations and phase diagram of the perturbed Kitaev model
• Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks
• Universal Thermodynamics in the Kitaev Fractional Liquid
• Block product density matrix embedding theory for strongly correlated spin systems
• Quantum and classical behavior of spin-$S$ Kitaev models in an anisotropic limit
• Structural, electronic, and magnetic properties of nearly-ideal $J_{\mathrm{eff}}$ $=$ 1/2 iridium halides
• Majorana-Magnon Crossover by a Magnetic Field in the Kitaev Model: Continuous-Time Quantum Monte Carlo Study
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• The electronic structure of NaIrO${}_3$, Mott insulator or band insulator?
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Majorana Spin Liquids on a two-leg ladder
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• High temperature thermodynamics of the honeycomb-lattice Kitaev-Heisenberg model: A high temperature series expansion study
• Investigation of unconventional reconstruction and electronic properties on the Na2IrO3 surface
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• Antiferromagnetic Kitaev Interactions in Polar Spin-Orbit Mott Insulators
• Density-Matrix Renormalization Group Study of Kitaev--Heisenberg Model on a Triangular Lattice
• Strong-disorder renormalization for interacting non-Abelian anyon systems in two dimensions
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Majorana fermions on the Abrikosov flux lattice in a $p_x+i{p}_y$ superconductor and thermal conductivity in superclean regime
• A Possible Fermi liquid in the lightly doped Kitaev spin liquid
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Low temperature properties in the Bilayer Kitaev model
• Residual Entropy and Spin Fractionalizations in the Mixed-Spin Kitaev Model
• Ground state phase diagram of Kitaev-Heisenberg model on honeycomb-triangular lattice
• Non-Kitaev spin liquids in Kitaev materials
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• Energy dynamics in the Heisenberg-Kitaev chain
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Fermionic approach to variational quantum simulation of Kitaev spin models
• Tuning into the Kitaev spin liquid phase:A spin model on the honeycomb lattice with two types of Heisenberg exchange couplings
• Heisenberg-Kitaev Models on Hyperhoneycomb and Stripyhoneycomb Lattices: 3D-2D Equivalence of Ordered States and Phase Diagrams
• Spin wave theory of one-dimensional generalized Kitaev model
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Compass and Kitaev models -- Theory and Physical Motivations
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Ground State Magnetic Structure and Magnetic Field Effects in the Layered Honeycomb Antiferromagnet YbOCl
• Differentiable programming tensor networks for Kitaev magnets
• Spin-orbit coupling in octamers in a spinel sulfide CuIr${}_2$S${}_4$: Competition between spin-singlet and quadrupolar states, and its relevance to remnant paramagnetism
• Electronic Structure and magnetism in Ir based double-perovskite Sr${}_2$CeIrO${}_6$
• Thermal Hall conductivity near field-suppressed magnetic order in a Kitaev-Heisenberg model
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Correlation effects on the magnetization process of the Kitaev model
• Confinement transition in a Kitaev-like honeycomb model with bond anisotropy
• Ground-State Phase Diagram of the Kitaev-Heisenberg Model on a Three-dimensional Hyperhoneycomb Lattice
• Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
• Topological phases of higher Chern numbers in Kitaev-Heisenberg ferromagnet with further-neighbor interactions
• Stabilization and modulation of the topological magnetic phase with a $Z_2$-vortex lattice in the Kitaev-Heisenberg honeycomb model: The key role of the third-nearest-neighbor interaction
• Perturbed Kitaev model: excitation spectrum and long-ranged spin correlations
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Spin Seebeck Effect as a Probe for Majorana Fermions in Kitaev Spin Liquids
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Topological property of a $t_{2g}^5$ system with a honeycomb lattice structure
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Phase diagram of the Kitaev-Heisenberg model using various finite-size clusters
• Conductivity of Dirac-like surface states in correlated honeycomb transition metal oxide Mott insulators
• Thermal Hall conductivity with sign change in the Heisenberg-Kitaev kagome magnet
• Monoclinic distortion in hyperhoneycomb Kitaev material $\beta$-ZnIrO${}_3$ revealed by improved sample quality
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Sweet spot in the RuCl${}_3$ magnetic system: nearly ideal $j_{\mathrm{eff}}=1/2$ moments and maximized $K/J$ ratio under pressure
• Vacancies in generic Kitaev spin liquids
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• The Software Landscape for the Density Matrix Renormalization Group
• Temperature-dependent magnetic anisotropy from directional-dependent interactions
• Quantum gap and spin-wave excitations in the Kitaev model on a triangular lattice
• Fractal Path Strategies for Efficient 2D DMRG Simulations
• Signatures of a Majorana-Fermi surface in the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions