The kagome antiferromagnet: a chiral topological spin liquid ?

Abstract

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning both the classical and quantum models. This proposal is analyzed in an extended mean-field Schwinger boson framework encompassing time reversal symmetry breaking phases which allows both a classical and a quantum phase description. At low temperatures, we find quantum fluctuations favor this chiral phase, which is stable against small perturbations of second and third neighbor interactions. For spin-1/2 this phase may be, beyond mean-field, a chiral gapped spin liquid. Such a phase is consistent with Density Matrix Renormalization Group results of Yan et al. (Science 322, 1173 (2011)). Mysterious features of the low lying excitations of exact diagonalization spectra also find an explanation in this framework. Moreover, thermal fluctuations compete with quantum ones and induce a transition from this flux phase to a planar zero flux phase at a non zero value of the renormalized temperature (T/S^2), reconciling these results with those obtained for the classical system.

4 pages, 4 figures, 1 table

References in corpus (8)

• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
• Symplectic N and time reversal in frustrated magnetism
• Flux expulsion and greedy bosons: frustrated magnets at large N
• Chirality and $Z_2$ vortices in an Heisenberg spin model on the kagomé lattice
• Intrinsic peculiarities of real material realizations of a spin-1/2 kagome lattice
• Thermal destruction of chiral order in a two-dimensional model of coupled trihedra

Cited by in corpus (150)

• Quantum entanglement in condensed matter systems
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Chiral spin liquid in a frustrated anisotropic kagome Heisenberg model
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
• Mott insulating states with competing orders in the triangular lattice Hubbard model
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
• Global phase diagram and quantum spin liquids in spin-1/2 triangular antiferromagnet
• Projective symmetry group classification of chiral spin liquids
• Static and dynamical spin correlations of the S=1/2 random-bond antiferromagnetic Heisenberg model on the triangular and the kagome lattices
• Coupled wire construction of chiral spin liquids
• Nature of chiral spin liquids on the kagome lattice
• Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets
• A Quantum Dipolar Spin Liquid
• Gapless chiral spin liquid in a kagome Heisenberg model
• Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
• Variational Monte Carlo study of chiral spin liquid in the extended Heisenberg model on the Kagome lattice
• Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Quantum spin-liquid behavior in the spin-1/2 random-bond Heisenberg antiferromagnet on the kagome lattice
• Renormalization group analysis of competing quantum phases in the J1-J2 Heisenberg model on the kagome lattice
• Quantum Magnetism in Minerals
• Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice
• Exotic disordered phases in the quantum $J_1-J_2$ model on the honeycomb lattice
• Chiral spin liquid on kagome antiferromagnet induced by Dzyaloshinskii-Moriya interaction
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• Haydeeite: a spin-1/2 kagome ferromagnet
• Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: A pseudo-fermion functional renormalization group perspective
• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
• Chiral spin liquids in triangular lattice SU(N) fermionic Mott insulators with artificial gauge fields
• Frustrated magnetism and resonating valence bond physics in two-dimensional kagome-like magnets
• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
• Negative-vector-chirality 120${}^{\circ }$ spin structure in the defect- and distortion-free quantum kagome antiferromagnet YCu${}_3$(OH)${}_6$Cl${}_3$
• Topological Sector Fluctuations and Curie Law Crossover in Spin Ice
• Chern-Simons theory of the magnetization plateaus of the spin-1/2 quantum XXZ Heisenberg model on Kagome Lattice
• Entanglement spectroscopy of SU(2)-broken phases in two dimensions
• Nature of the spin liquid ground state in a breathing kagome compound studied by NMR and series expansion
• The vicinity of hyper-honeycomb $\beta$-Li2IrO3 to a three-dimensional Kitaev spin liquid state
• Quantum phase diagram of the spin-$1$ $J_1-J_2$ Heisenberg model on the honeycomb lattice
• Spinon Fractionalization from Dynamic Structure Factor of Spin-1/2 Heisenberg Antiferromagnet on the Kagome Lattice
• Valence-bond crystals in the kagome spin-1/2 Heisenberg antiferromagnet: a symmetry classification and projected wave function study
• Corner modes of the breathing kagome lattice: origin and robustness
• A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
• Heat Transport in Herbertsmithite: Can a Quantum Spin Liquid Survive Disorder?
• Chiral and Critical Spin Liquids in Spin-$1/2$ Kagome Antiferromagnet
• Effect of Zn doping on the antiferromagnetism in kagome Cu${}_{4-x}$Zn${}_x$(OH)${}_6$FBr
• Striped spin liquid crystal ground state instability of kagome antiferromagnets
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Pinch-points to half-moons and up in the stars: the kagome skymap
• Classical spin-liquid on the maximally frustrated honeycomb lattice
• Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice
• Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• p6 - Chiral Resonating Valence Bonds in the Kagome Antiferromagnet
• Quantum phases in the frustrated Heisenberg model on the bilayer honeycomb lattice
• Heterogeneous freezing in a geometrically frustrated spin model without disorder: spontaneous generation of two time-scales
• Kitaev Quantum Spin Liquids
• Emergent Potts order in the kagomé $J_1-J_3$ Heisenberg model
• Classification of spin liquids on the square lattice with strong spin-orbit coupling
• Heisenberg antiferromagnet on Cayley trees: low-energy spectrum and even/odd site imbalance
• Doping quantum spin liquids on the Kagome lattice
• Spin structure factors of chiral quantum spin liquids on the kagome lattice
• Quantum dimer model for the spin-1/2 kagome Z2 spin liquid
• Emergent quasi-one-dimensionality in a kagomé magnet: A simple route to complexity
• Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
• Altermagnetic Ground State in Distorted Kagome Metal CsCr${}_3$Sb${}_5$
• Fermionization of Bosons in a Flat Band
• Gapless chiral spin liquid from coupled chains on the kagome lattice
• Nature of the 1/9-magnetization plateau in the spin-1/2 kagome Heisenberg antiferromagnet
• Nature of the phases in the frustrated XY model on the honeycomb lattice
• Space group symmetry fractionalization in a chiral kagome Heisenberg antiferromagnet
• Phenomenological Z_2 lattice gauge theory of the spin-liquid state of the kagome Heisenberg antiferromagnet
• Partial lifting of degeneracy in the $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice
• Metal-insulator transition and intermediate phases in the kagome lattice Hubbard model
• Resonating quantum three-coloring wavefunctions for the kagome quantum antiferromagnet
• Staircase of crystal phases of hard-core bosons on the Kagome lattice
• Variety of order-by-disorder phases in the asymmetric $J_1-J_2$ zigzag ladder: From the delta chain to the $J_1-J_2$ chain
• Reentrance of disorder in the anisotropic shuriken Ising model
• Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice
• Coexistence of non-Abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet
• How correlations change the magnetic structure factor of the kagome Hubbard model
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Degenerate and chiral states in the extended Heisenberg model in the kagome lattice
• Complex magnetic and spatial symmetry breaking from correlations in kagome flat bands
• Plaquette-triplon analysis of magnetic disorder and order in a trimerized spin-1 Kagomé antiferromagnet
• Chiral Spin Order in Kondo-Heisenberg systems
• Valence bond solid and possible deconfined quantum criticality in an extended kagome lattice Heisenberg antiferromagnet
• Possible chiral spin liquid state in the $S=1/2$ kagome Heisenberg model
• Magnetic phase diagram of Cu${}_{4-x}$Zn${}_x$(OH)${}_6$FBr studied by neutron-diffraction and $\mu$SR techniques
• Schwinger Boson mean field theory of kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction
• Antiferromagnetism in kagome $\alpha$-Cu${}_3$Mg(OH)${}_6$Br${}_2$
• $\require{mhchem}$Quantum paramagnetism in the decorated square-kagome antiferromagnet $\ce{Na6Cu7BiO4(PO4)4Cl3}$
• Quantum-to-classical correspondence in two-dimensional Heisenberg models
• Exact chiral spin liquid state in a Kitaev type spin model
• Majorana chiral spin liquid in Mott insulating cuprates
• Chiral Spin Liquids at Finite Temperature in a Three-Dimensional Kitaev Model
• Nematicity and fractional magnetization plateaus induced by spin-lattice coupling in the classical kagome-lattice Heisenberg antiferromagnet
• Chiral Broken Symmetry Descendants of the Kagomé Lattice Chiral Spin Liquid
• Topological chiral currents in the Gross-Neveu model extension
• Schwinger boson theory of the J1,J2=J3 kagome antiferromagnet
• Fracton excitations in classical frustrated kagome spin models
• Evidence for a Parity Broken Monoclinic Ground State in the S = 1/2 Kagomé Antiferromagnet Herbertsmithite
• Chiral spin liquids with crystalline ${\mathbb{Z}}_2$ gauge order in a three-dimensional Kitaev model
• Competing emergent Potts orders and possible nematic spin liquids in the Kagome $J_1-J_3$ Heisenberg model
• Fermionic spin liquid analysis of the paramagnetic state in Volborthite
• Schwinger boson mean field theory: numerics for the energy landscape and gauge excitations in two-dimensional antiferromagnets
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• Classical phase diagram of the stuffed honeycomb lattice
• Variational identification of a fractional Chern insulator in an extended Bose-Hubbard model
• A continuous family of fully-frustrated Heisenberg model on the Kagome lattice
• Piercing the Dirac spin liquid: From a single monopole to chiral states
• Nematic quantum phases in the bilayer honeycomb antiferromagnet
• Rapid filling of the spin gap with temperature in the Schwinger-boson mean-field theory of the antiferromagnetic Heisenberg kagome model
• Schwinger boson mean field perspective on emergent spins in diluted Heisenberg antiferromagnets
• Partial flux ordering and thermal Majorana metals in (higher-order) spin liquids
• Topological spinon bands and vison excitations in spin-orbit coupled quantum spin liquids
• Regular magnetic orders in triangular and kagome lattices
• Variational Monte Carlo study of gapless spin liquid in the spin-$1/2$ XXZ antiferromagnetic model on the kagome lattice
• Magnetism in AV3Sb5 (A = Cs, Rb, K): Complex Landscape of the Dynamical Magnetic Textures
• Magnetic interactions in AB-stacked kagome lattices: magnetic structure, symmetry, and duality
• Strain tuning of highly frustrated magnets: Order and disorder in the distorted kagome Heisenberg antiferromagnet
• Electric field control of a quantum spin liquid in weak Mott insulators
• Classical Heisenberg and planar spin models on the windmill lattice
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Long-range Ising spins models emerging from frustrated Josephson junctions arrays with topological constraints
• Robust Topological Degeneracy of Classical Theories
• Magnetic properties of the spiral spin liquid and surrounding phases in the square lattice XY model
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Simulating chiral spin liquids with projected entangled-pair states
• Chiral spin liquid phase in an optical lattice at mean-field level
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Optimizing configurations for determining the magnetic model based on ab-initio calculations
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Strong relevance of Zinc impurity in the spin-$\frac{1}{2}$ Kagome quantum antiferromagnets: a variational study
• Effective Field Theory of Chiral Spin Liquid between Ordered Phases in Kagomé Antiferromagnet
• Topological Aspects of Antiferromagnets
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model
• Chiral Edge States Emerging on Anyon-Net
• Robust semiclassical magnetization plateau in the kagome lattice
• Decision making by Berry's flux