A Schwinger-boson approach to the kagome with Dzyaloshinskii-Moriya interactions: phase diagram and dynamical structure factors

Abstract

We have obtained the zero-temperature phase diagram of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions in Schwinger-boson mean-field theory. We find quantum phase transitions (first or second order) between different topological spin liquids and Neel ordered phases (either the $\sqrt{3}\times \sqrt{3}$ state or the so-called Q=0 state). In the regime of small Schwinger-boson density, the results bear some resemblances with exact diagonalization results and we briefly discuss some issues of the mean-field treatment. We calculate the equal-time structure factor (and its angular average to allow for a direct comparison with experiments on powder samples), which extends earlier work on the classical kagome to the quantum regime. We also discuss the dynamical structure factors of the topological spin liquid and the Neel ordered phase.

8 pages, 9 figures

References in corpus (18)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Properties of an algebraic spin liquid on the kagome lattice
• 17O NMR study of the intrinsic magnetic susceptibility and spin dynamics of the quantum kagome antiferromagnet ZnCu3(OH)6Cl2
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• The magnetic groundstate of an experimental $S=1/2$ kagomé antiferromagnet
• ^{63}Cu, ^{35}Cl, and ^{1}H NMR in the S=1/2 Kagomé Lattice ZnCu_{3}(OH)_{6}Cl_{2}
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Low energy excitations of the kagome antiferromagnet and the spin gap issue
• Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
• Twelve sublattice ordered phase in the J1-J2 model on the kagome lattice
• Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice
• Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the $s=1/2$ kagome system ZnCu_3(OH)_6Cl_2
• Flux expulsion and greedy bosons: frustrated magnets at large N
• Heisenberg antiferromagnet with anisotropic exchange on the Kagome lattice: Description of the magnetic properties of volborthite

Cited by in corpus (72)

• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice
• Interplay of thermal and quantum spin fluctuations on the kagome lattice
• First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
• Projective symmetry group classification of chiral spin liquids
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Chiral Symmetry Breaking, Deconfinement and Entanglement Monotonicity
• Cavity-induced quantum spin liquids
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Field-Induced Freezing of a Quantum Spin Liquid on the Kagome Lattice
• Dzyaloshinsky-Moriya interaction in vesignieite: A route to freezing in a quantum kagome antiferromagnet
• Spin dynamics and disorder effects in the S=1/2 kagome Heisenberg spin liquid phase of kapellasite
• Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
• Chiral spin liquid on kagome antiferromagnet induced by Dzyaloshinskii-Moriya interaction
• Scalar Chiral Spin-1/2 Order on Kagome Lattices in Nd3Sb3Mg2O14
• Theory of Raman response in three-dimensional Kitaev spin liquids: application to $\beta -$ and $\gamma -$Li${}_2$IrO${}_3$ compounds
• Variational study of J1-J2 Heisenberg model on Kagome lattice using projected Schwinger boson wave functions
• Thermal Hall effects in quantum magnets
• Order and excitations in large-$S$ kagomé-lattice antiferromagnets
• A test of the bosonic spinon theory for the triangular antiferromagnet spectrum
• Exchange energies of Kapellasite from high-temperature series analysis of the kagome lattice J1-J2-Jd-Heisenberg model
• Materializing Rival Ground States in the Barlowite Family of Kagome Magnets: Quantum Spin Liquid, Spin Ordered, and Valence Bond Crystal States
• Semiclassical ground-state phase diagram and multi-Q phase of a spin-orbit coupled model on triangular lattice
• Quantum spin liquids in the absence of spin-rotation symmetry: application to Herbertsmithite
• Gapless spin liquid in the kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Spinon Fractionalization from Dynamic Structure Factor of Spin-1/2 Heisenberg Antiferromagnet on the Kagome Lattice
• Reduction of magnetic interlayer coupling in barlowite through isoelectronic substitution
• A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
• Heat Transport in Herbertsmithite: Can a Quantum Spin Liquid Survive Disorder?
• Local study of the insulating quantum kagome antiferromagnets YCu3(OH)6OxCl3-x (x=0,1/3)
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Effect of perturbations on the kagome $S=1/2$ antiferromagnet at all temperatures
• Quantum kagome antiferromagnet: ZnCu3(OH)6Cl2
• Topological thermal Hall effect driven by fluctuation of spin chirality in frustrated antiferromagnets
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Heisenberg antiferromagnet on Cayley trees: low-energy spectrum and even/odd site imbalance
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• Pair Correlations, Short Range Order and Dispersive Excitations in the Quasi-Kagome Quantum Magnet Volborthite
• Topological Magnetic Excitations on the Distorted Kagome Antiferromagnets: Applications to Volborthite, Vesignieite, and Edwardsite
• Unconventional Magnetic Oscillations in Kagome Mott Insulators
• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Spin liquid phase in a spatially anisotropic frustrated antiferromagnet
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Critical metrology of minimally accessible anisotropic spin chains
• Spin-1/2 Heisenberg antiferromanget on kagome: a $Z_2$ spin liquid with fermionic spinons
• ${\mathbb{Z}}_2$ gauge theory for valence bond solids on the kagome lattice
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• How correlations change the magnetic structure factor of the kagome Hubbard model
• Degenerate and chiral states in the extended Heisenberg model in the kagome lattice
• Destruction of valence-bond order in a $S=1/2$ sawtooth chain with a Dzyaloshinskii-Moriya term
• Structure factor of low-energy spin excitations in a S=1/2 kagome antiferromagnet
• Antiferromagnetic magnons from fractionalized excitations
• Schwinger Boson mean field theory of kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction
• Sign structures for short-range RVB states on small kagome clusters
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Ordered ground states of kagome magnets with generic exchange anisotropy
• Nematicity and fractional magnetization plateaus induced by spin-lattice coupling in the classical kagome-lattice Heisenberg antiferromagnet
• Spontaneous dimerization and moment formation in the Hida model of spin-1 kagomé antiferromagnet
• First-principles study of an organometallic S=1/2 kagome compound
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• Rapid filling of the spin gap with temperature in the Schwinger-boson mean-field theory of the antiferromagnetic Heisenberg kagome model
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Magnon Confinement on the Two-Dimensional Penrose Lattice: Perpendicular-Space Analysis of the Dynamic Structure Factor
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model
• Disorder-induced spin-cluster magnetism in a doped kagome spin liquid candidate
• Quantifying the Phase Diagram and Hamiltonian of $S=1/2$ Kagome Antiferromagnets: Bridging Theory and Experiment
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Order-by-disorder from Schwinger bosons in a frustrated honeycomb ferromagnet
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids