Chiral spin state and nematic ferromagnet in the spin-1 Kitaev-$\Gamma$ model

Abstract

The higher-spin Kitaev magnets, in which the Kitaev interaction and off-diagonal exchange couplings are overwhelmingly large, have emerged as a fertile avenue to explore exotic phases and unusual excitations. In this work, we study the quantum phase diagram of the spin-1 Kitaev-$\Gamma$ model on the honeycomb lattice using density-matrix renormalization group. It harbours six distinct phases and the intriguing findings are three magnetically ordered phases in which both time-reversal symmetry and lattice symmetry albeit of different sort are broken spontaneously. The chiral spin state originates from the order-by-disorder effect and exhibits an almost saturated scalar spin chirality at the quantum level. Depending on the relative strength of the two interactions, it also features columnar-like or plaquette-like dimer pattern as a consequence of the translational symmetry breaking. In parallel, the nematic ferromagnets are situated at ferromagnetic Kitaev side and possess small but finite ferromagnetic ordering. The lattice-rotational symmetry breaking enforces nonequivalent bond energy along one of the three bonds. Although the intrinsic difference between the two nematic ferromagnets remains elusive, the discontinuities in the von Neumann entropy, hexagonal plaquette operator, and Wilson loop operator convincingly suggest that they are separated via a first-order phase transition.

arXiv comment12 pages, 8 figures. Phys. Rev. B to appear

References in corpus (58)

• Anyons in an exactly solved model and beyond
• The density-matrix renormalization group
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Evidence for a single-layer van der Waals multiferroic
• Direct evidence of a zigzag spin chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation on single crystal $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Interplay between Kitaev interaction and single ion anisotropy in ferromagnetic CrI${}_3$ and CrGeTe${}_3$ monolayers
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Phase Diagram of $\alpha$-RuCl${}_3$ in an in-plane Magnetic Field
• Experimental identification of quantum spin liquids
• Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of alpha-RuCl3
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Magnetic order and disorder in the frustrated quantum Heisenberg antiferromagnet in two dimensions
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Field-induced quantum criticality in the Kitaev system $\alpha$-RuCl${}_3$
• Magnetic Excitations and Continuum of a Field-Induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Possible Kitaev Quantum Spin Liquid State in 2D Materials with S=3/2
• Field-induced quantum spin disordered state in spin-1/2 honeycomb magnet Na2Co2TeO6
• Microscopic mechanism for higher-spin Kitaev model
• Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• One Proximate Kitaev Spin Liquid in the $K$-$J$-$\Gamma$ Model on the Honeycomb Lattice
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Magnetic Anisotropy in Spin-3/2 with Heavy Ligand in Honeycomb Mott Insulators: Application to CrI${}_3$
• Ground-state and thermodynamic properties of an $S=1$ Kitaev model
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Incipient and well-developed entropy plateaus in spin-S Kitaev models
• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
• Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6
• Tensor network wavefunction of $S=1$ Kitaev spin liquids
• Variational study of the Kitaev-Heisenberg-Gamma model
• Field-Driven Gapless Spin Liquid in the Spin-1 Kitaev Honeycomb Model
• Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point
• Emergence of a nematic paramagnet via quantum order-by-disorder and pseudo-Goldstone modes in Kitaev magnets
• Unveiling the S=3/2 Kitaev Honeycomb Spin Liquids
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Quantum spin liquid in the semiclassical regime
• Characterizing spin-one Kitaev quantum spin liquids
• Observation of a 1/3 Magnetisation Plateau Phase as Evidence for the Kitaev Interaction in a Honeycomb-Lattice Antiferromagnet
• Planar Thermal Hall Effects in Kitaev Spin Liquid Candidate Na2Co2TeO6
• Spin Nematics Meet Spin Liquids: Exotic Quantum Phases in the Spin-$1$ Bilinear-Biquadratic Model with Kitaev Interactions
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• Thermal Transport of Fractionalized Antiferromagnetic and Field Induced States in the Kitaev Material Na${}_2$Co${}_2$TeO${}_6$
• Ground-state phase diagram of spin-$S$ Kitaev-Heisenberg models
• Unusual excitations and double-peak specific heat in a bond-alternating spin-$1$ $K$-$\Gamma$ chain
• ${\mathbb{Z}}_2$ spin liquids in the higher spin-$S$ Kitaev honeycomb model: An exact deconfined ${\mathbb{Z}}_2$ gauge structure in a non-integrable model
• Triple-meron crystal in high-spin Kitaev magnets
• Counter-rotating spiral order in three dimensional iridates: signature of hidden symmetry in Kitaev-$\Gamma$ model
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets
• Evidence of Kitaev interaction in the monolayer 1T-CrTe${}_2$
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$

Cited by in corpus (3)

• Interplay of Kitaev Interaction and Off-diagonal Exchanges: Exotic Phases and Quantum Phase Diagrams
• Spin-phonon coupling and thermal Hall effect in the Kitaev model
• Ligand-SOC enhanced $4f^5$ Kitaev antiferromagnet: Application to ${\mathrm{SmI}}_3$