Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain

Abstract

Recently, it has been proposed that higher-spin analogues of the Kitaev interactions $K>0$ may also occur in a number of materials with strong Hund's and spin-orbit coupling. In this work, we use Lanczos diagonalization and density matrix renormalization group methods to investigate numerically the $S=1$ Kitaev-Heisenberg model. The ground-state phase diagram and quantum phase transitions are investigated by employing local and nonlocal spin correlations. We identified two ordered phases at negative Heisenberg coupling $J<0$: a~ferromagnetic phase with $⟨S_i^z{S}_{i+1}^z⟩>0$ and an intermediate left-left-right-right phase with $⟨S_i^x{S}_{i+1}^x⟩\ne 0$. A~quantum spin liquid is stable near the Kitaev limit, while a topological Haldane phase is found for $J>0$.

arXiv comment6 pages, 4 figures, accepted by Physical Review B

References in corpus (46)

• Fault-tolerant quantum computation by anyons
• 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
• Entanglement spectrum of a topological phase in one dimension
• Symmetry protection of topological order in one-dimensional quantum spin systems
• 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
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Rise and fall of hidden string order of lattice bosons
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Microscopic mechanism for higher-spin Kitaev model
• Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
• Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
• Anisotropic susceptibilities in the honeycomb Kitaev system $\alpha$-RuCl${}_3$
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Breakdown of magnetic order in the pressurized Kitaev iridate $\beta$-Li${}_2$IrO${}_3$
• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Impact of off-diagonal exchange interactions on the Kitaev spin liquid state of $\alpha$-RuCl${}_3$
• Multicriticality and entanglement in the one-dimensional quantum compass model
• Electrical probes of the non-Abelian spin liquid in Kitaev materials
• Field-Driven Gapless Spin Liquid in the Spin-1 Kitaev Honeycomb Model
• Quantum Simulation of the Haldane Phase Using Trapped Ions
• Phase diagram of the spin-1/2 Kitaev-Gamma chain and emergent SU(2) symmetry
• Compass-Heisenberg Model on the Square Lattice : Spin Order and Excitations
• Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Matrix Product State and Quantum Phase Transitions in the One-Dimensional Extended Quantum Compass Model
• Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
• Magnetic properties of nanoscale compass-Heisenberg planar clusters
• Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: paving a way toward quantum spin liquid
• Magnetic field-induced evolution of intertwined orders in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Magnetic field-dependent low-energy magnon dynamics in $\alpha$-RuCl3
• Spin-1 Kitaev model in one dimension
• Quantum phase transitions in a spin-1 antiferromagnetic chain with long-range interactions and modulated single-ion anisotropy
• Quantum Correlation in One-dimensional Extend Quantum Compass Model
• Spin wave theory of one-dimensional generalized Kitaev model
• Large off diagonal exchange couplings and spin liquid states in ${\mathbf{C}}_3$ symmetric iridates
• Block entropy for Kitaev-type spin chains in a transverse field
• Reentrance of Topological Phase in Spin-1 Frustrated Heisenberg Chain
• Quantum phase transitions in spin-1 compass chains

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• Quantum Many-Body Scars in Spin-1 Kitaev Chains
• Novel Approach to Unveil Quantum Phase Transitions Using Fidelity Map
• Instabilities of spin-1 Kitaev spin liquid phase in presence of single-ion anisotropies
• Spin dynamics of the generalized quantum spin compass chain
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Quantum many-body scars in spin-1 Kitaev chain with uniaxial single-ion anisotropy
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
• Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
• Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
• Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions
• Exact Fractionalized Ground States in an Extended Spin-1 Kitaev Chain