Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets

Abstract

Frustrated magnets with highly degenerate ground states are at the heart of hunting exotic states of matter. Recent studies in spin-orbit coupled honeycomb magnets have generated immense interest in bond-dependent interactions, appreciating a symmetric off-diagonal $\Gamma$ interaction which exhibits a macroscopic degeneracy in the classical limit. Here, we study a generic spin model and discover a novel chiral-spin ordering with spontaneously broken time-reversal symmetry near the dominant $\Gamma$ region. The chiral-spin phase is demonstrated to possess a staggered chirality relation in different sublattices, and it exhibits gapless excitations as revealed by the vanishing energy gap and the finite central charge on cylinders. Although there is a vestige of a tiny peak in the corner of the second Brillouin zone, the magnetic order is likely to vanish as the system size increases. Finally, we also attempt to gain insight into the possible topological signature of the chiral-spin phase by calculating the dynamic structure factor and the modular $\mathcal{S}$ matrix.

arXiv comment12+6 pages, 9+11 figures, 1+2 tables. Accepted by Physical Review Research

References in corpus (53)

• Anyons in an exactly solved model and beyond
• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• 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
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Kitaev quantum spin liquid - concept and materialization
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• 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
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• 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 $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• An exact chiral spin liquid with non-Abelian anyons
• Quasi-particle Statistics and Braiding from Ground State Entanglement
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Kitaev interactions between j=1/2 moments in honeycomb Na2IrO3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations
• Experimental identification of quantum spin liquids
• Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
• Chiral spin liquid in a frustrated anisotropic kagome Heisenberg model
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
• Theory of the field-revealed Kitaev spin liquid
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Rethinking $\alpha$-RuCl${}_3$
• Fractional quantum Hall states in lattices: Local models and physical implementation
• 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
• Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Path to stable quantum spin liquids in spin-orbit coupled correlated materials
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• Magnetic Field Induced Competing Phases in Spin-Orbital Entangled Kitaev Magnets
• Topological superconductivity in the doped chiral spin liquid on the triangular lattice
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• SU$(3{)}_1$ Chiral Spin Liquid on the Square Lattice: a View from Symmetric PEPS
• Emergence of a nematic paramagnet via quantum order-by-disorder and pseudo-Goldstone modes in Kitaev magnets
• Order-by-disorder in the antiferromagnetic Ising model on an elastic triangular lattice
• Unveiling the phase diagram of a bond-alternating spin-$\frac{1}{2}$ $K$-$\Gamma$ chain
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• Novel chiral quantum spin liquids in Kitaev magnets
• Spin structure factors of chiral quantum spin liquids on the kagome lattice
• Susceptibility anisotropy and its disorder evolution in models for Kitaev materials
• Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
• Vestiges of Topological Phase Transitions in Kitaev Quantum Spin Liquids
• Spin chain network construction of chiral spin liquids
• Quantum phase diagram and chiral spin liquid in the extended spin-$\frac{1}{2}$ honeycomb XY model

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• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Effects of charge doping on Mott insulator with strong spin-orbit coupling, Ba${}_2$NaOsO${}_6$
• Interplay of magnetic field and trigonal distortion in the honeycomb $\Gamma$ model: Occurrence of a spin-flop phase
• Chiral spin state and nematic ferromagnet in the spin-1 Kitaev-$\Gamma$ model
• Successive topological phase transitions in two distinct spin-flop phases on the honeycomb lattice
• Interplay of Kitaev Interaction and Off-diagonal Exchanges: Exotic Phases and Quantum Phase Diagrams
• Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions