Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagome lattice

Abstract

Due to the particular geometry of the kagomé lattice, it is shown that antisymmetric Dzyaloshinsky-Moriya interactions are allowed and induce magnetic ordering. The symmetry of the obtained low temperature magnetic phases are studied through mean field approximation and classical Monté Carlo simulations. A phase diagram relating the geometry of the interaction and the ordering temperature has been derived. The order of magnitude of the anisotropies due to Dzyaloshinsky-Moriya interactions are more important than in non-frustrated magnets, which enhances its appearance in real systems. Application to the jarosites compounds is proposed. In particular, the low temperature behaviors of the Fe and Cr-based jarosites are correctly described by this model.

6 (revtex4) twocolumn pages, 6 .eps figures. Submitted to Phys. Rev. B

References in corpus (1)

• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis

Cited by in corpus (148)

• Quantum Spin Liquids
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Spin chirality on a two-dimensional frustrated lattice
• Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
• 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${}_2$
• Quantum Kagome antiferromagnet ZnCu3(OH)6Cl2
• Spin waves in the Frustrated Kagome Lattice Antiferromagnet KFe3(OH)6(SO4)2
• Spin-orbit effects in Na${}_4$Ir${}_3$O${}_8$, a hyper-kagomé lattice antiferromagnet
• Ordering in the pyrochlore antiferromagnet due to Dzyaloshinsky-Moriya interactions
• Field dependence of magnetic ordering in Kagome-staircase compound Ni3V2O8
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Damped Topological Magnons in the Kagomé-Lattice Ferromagnets
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Non-collinearity and spin frustration in the itinerant kagome ferromagnet Fe3Sn2
• A Schwinger-boson approach to the kagome with Dzyaloshinskii-Moriya interactions: phase diagram and dynamical structure factors
• Single domain magnetic helicity and triangular chirality in structurally enantiopure Ba3NbFe3Si2O14
• Topological Thermal Hall Effect in Frustrated Kagomé Antiferromagnets
• Interaction-stabilized topological magnon insulator in ferromagnets
• Refining the Spin Hamiltonian in the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$ using Single Crystals
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Twelve sublattice ordered phase in the J1-J2 model on the kagome lattice
• Toward Perfection: Kapellasite, Cu3Zn(OH)6Cl2, a New Model S = 1/2 Kagome Antiferromagnet
• Renormalization group analysis of competing quantum phases in the J1-J2 Heisenberg model on the kagome lattice
• Quantum Magnetism in Minerals
• Spin torque and Nernst effects in Dzyaloshinskii-Moriya ferromagnets
• Magnetic Structure and Spin Waves in the Kagomé Jarosite compound $\mathbf{KF}{\mathbf{e}}_3(\mathbf{S}{\mathbf{O}}_4{)}_2(\mathbf{OH}{)}_6$
• Low-field anomalous magnetic phase in the kagome-lattice shandite Co3Sn2S2
• Kagome lattice antiferromagnets and Dzyaloshinsky-Moriya interactions
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Origin of the Magnetic Spin Hall Effect: Spin Current Vorticity in the Fermi Sea
• Dzyaloshinskii-Moriya interaction and spin re-orientation transition in the frustrated kagome lattice antiferromagnet
• Topological Magnetoelastic Excitations in Non-Collinear Antiferromagnets
• Dzyaloshinsky-Moriya interaction in vesignieite: A route to freezing in a quantum kagome antiferromagnet
• Weak ferromagnetic order breaking the threefold rotational symmetry of the underlying kagomé lattice in CdCu${}_3$(OH)${}_6$(NO${}_3$)${}_2\cdot$H${}_2$O
• Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the $s=1/2$ kagome system ZnCu_3(OH)_6Cl_2
• Frustration and entanglement in the $t_{2g}$ spin--orbital model on a triangular lattice: valence--bond and generalized liquid states
• Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
• Chiral spin liquid on kagome antiferromagnet induced by Dzyaloshinskii-Moriya interaction
• Superexchange-Driven Magnetoelectricity in Magnetic Vortices
• Scalar Chiral Spin-1/2 Order on Kagome Lattices in Nd3Sb3Mg2O14
• Haydeeite: a spin-1/2 kagome ferromagnet
• Thermal Hall effects in quantum magnets
• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
• Order and excitations in large-$S$ kagomé-lattice antiferromagnets
• Magnetic susceptibilities in a family of S=1/2 Kagome antiferromagnet
• Coexistence of magnetic order and persistent spin dynamics in a quantum kagome antiferromagnet with no intersite mixing
• Barlowite as a canted antiferromagnet: theory and experiment
• Ground State and Intrinsic Susceptibility of the Kagome Antiferromagnet Vesignieite as seen by 51V NMR
• Uniform and staggered magnetizations induced by Dzyaloshinskii-Moriya interactions in isolated and coupled spin 1/2 dimers in a magnetic field
• Chirality-driven Hall Transport Phenomena of Spins
• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• Quantum spin liquids in the absence of spin-rotation symmetry: application to Herbertsmithite
• Magnetic Order in the Spin-1/2 Kagome Antiferromagnet Vesignieite
• Orbital Magnetic Moment of Magnons
• Negative-vector-chirality 120${}^{\circ }$ spin structure in the defect- and distortion-free quantum kagome antiferromagnet YCu${}_3$(OH)${}_6$Cl${}_3$
• Weyl magnons in noncoplanar stacked kagome antiferromagnets
• Green's function approach to the magnetic properties of the kagome antiferromagnet
• Ising Like Order by Disorder In The Pyrochlore Antiferromagnet with Dzyaloshinskii-Moriya Interactions
• A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
• Antichiral spin order its Goldstone modes and their hybridization with phonons in the topological semimetal Mn3Ge
• Spin Seebeck and Spin Nernst Effects of Magnons in Noncollinear Antiferromagnetic Insulators
• Easy-Axis Kagomé Antiferromagnet: Local-Probe Study of Nd${}_3$Ga${}_5$SiO${}_{14}$
• Anomalous Hall Effect due to the spin chirality in the Kagomé lattice
• Local study of the insulating quantum kagome antiferromagnets YCu3(OH)6OxCl3-x (x=0,1/3)
• Magnonic Analogs of Topological Dirac Semimetals
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Intrinsic susceptibility and bond defects in the novel 2D frustrated antiferromagnet Ba${}_2$Sn${}_2$ZnCr${}_{7p}$Ga${}_{10-7p}$O${}_{22}$
• Influence of the Dzyaloshinskii-Moriya exchange interaction on quantum phase interference of spins
• Role of Antisymmetric Exchange in Selecting Magnetic Chirality in Ba${}_3$NbFe${}_3$Si${}_2$O${}_{14}$
• A Proposal to Use Neutron Scattering to Measure Scalar Spin Chirality Fluctuations in Kagome Lattices
• $\mathbf{q}=0$ long-range magnetic order in centennialite CaCu${}_3$(OD)${}_6$Cl${}_2$$\cdot$0.6D${}_2$O: A spin-1/2 perfect kagome antiferromagnet with $J_1$-$J_2$-$J_d$
• Heterogeneous freezing in a geometrically frustrated spin model without disorder: spontaneous generation of two time-scales
• Quantum kagome antiferromagnet: ZnCu3(OH)6Cl2
• Functional renormalization group for frustrated magnets with nondiagonal spin interactions
• Topological thermal Hall effect driven by fluctuation of spin chirality in frustrated antiferromagnets
• Topological Magnetic Excitations on the Distorted Kagome Antiferromagnets: Applications to Volborthite, Vesignieite, and Edwardsite
• Weak antiferromagnetism and dimer order in quantum systems of coupled tetrahedra
• Magnon Hall Effect without Dzyaloshinskii-Moriya Interaction
• Field-induced pseudo-skyrmion phase in the antiferromagnetic kagome lattice
• Evolution of the 2D antiferromagnetism with temperature and magnetic field in multiferroic Ba${}_2$CoGe${}_2$O${}_7$
• Topological Magnon Bands and Unconventional Thermal Hall Effect on the Frustrated Honeycomb and Bilayer Triangular Lattice
• Strong quantum effects in an almost classical antiferromagnet on a kagome lattice
• Macroscopic Anisotropy and Symmetry Breaking in the Pyrochlore Antiferromagnet Gd${}_2$Ti${}_2$O${}_7$}
• Frustrated Magnetism of the Maple-Leaf-Lattice Antiferromagnet MgMn${}_3$O${}_7$$\cdot$3H${}_2$O
• Correlations, spin dynamics, defects: the highly-frustrated Kagomé bilayer
• Dzyaloshinskii-Moriya interactions in valence bond systems
• The symmetry of the spin Hamiltonian in herbertsmithite, a spin-1/2 kagomé lattice
• Dynamical spin correlations of the kagome antiferromagnet
• Magnetic structure and high-field magnetization of the distorted kagome lattice antiferromagnet Cs${}_2$Cu${}_3$SnF${}_{12}$
• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• Reentrance of disorder in the anisotropic shuriken Ising model
• High-field Phase Diagram and Spin Structure of Volborthite Cu3V2O7(OH)2/2H2O
• Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
• Degenerate and chiral states in the extended Heisenberg model in the kagome lattice
• From frustrated magnetism to spontaneous Chern insulators
• Magnetic Properties of the Spin-1/2 Deformed Kagome Antiferromagnet Edwardsite
• Ordering phenomena of spin trimers accompanied by large geometrical Hall effect
• U(1) symmetry of the spin-orbit coupled Hubbard model on the Kagome lattice
• Determination of the single-ion anisotropy energy in a S = 5/2 kagome antiferromagnet using X-ray absorption spectroscopy
• Perfect kagome-lattice antiferromagnets with J${}_{eff}$ = 1/2: The Co${}^{2+}$-analogs of copper minerals volborthite and vesignieite
• Tunneling and inversion symmetry in single-molecule magnets: the case of the Mn12 wheel molecule
• Spin superfluidity in noncollinear antiferromagnets
• Anisotropic magnetic excitations from single-chirality antiferromagnetic state in Ca-kapellasite
• Persistence of the flat band in a kagome magnet with dipolar interactions
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• The Herbertsmithite Hamiltonian: $\mu$SR measurements on single crystals
• Nematicity and fractional magnetization plateaus induced by spin-lattice coupling in the classical kagome-lattice Heisenberg antiferromagnet
• Magnetic State Selected by Magnetic Dipole Interaction in Kagome Antiferromagnet NaBa${}_2$Mn${}_3$F${}_{11}$
• Ordered ground states of kagome magnets with generic exchange anisotropy
• Low Temperature Static and Dynamic Behaviour of the Easy-Axis Heisenberg Antiferromagnet on the Kagome Lattice
• Dzyaloshinsky-Moriya interaction and the ground state in S=3/2 perfect kagome lattice antiferromagnet $\mathbf{KC}{\mathbf{r}}_3(\mathbf{OH}{)}_6(\mathbf{S}{\mathbf{O}}_4{)}_2$ (Cr-jarosite) studied by X-band and high-frequency ESR
• Canted Antiferromagnetic Order in the Kagome Material Sr-Vesignieite
• A new inelastic neutron spectrometer HODACA
• Resonant inelastic x-ray scattering study of vector chiral ordered kagome antiferromagnet
• Topological thermal Hall effect due to Weyl magnons
• Comment on "Influence of Dzyaloshinskii-Moriya Exchange Interaction on Quantum Phase Interference of Spins"
• Inhomogeneous magnetism in the doped kagome lattice of LaCuO2.66
• Pressure induced collapse of magnetic order in jarosite
• Spinon quantum spin Hall state in the kagome antiferromagnet with a Dzyaloshinskii-Moriya interaction
• S=1/2 Kagome antiferromagnets Cs${}_2$Cu${}_{3}MF$_{12}$ with M=Zr and Hf
• 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
• The SpinParser software for pseudofermion functional renormalization group calculations on quantum magnets
• Dzyaloshinskii-Moriya Induced Spin-Transfer Torques in Kagome Antiferromagnets
• Thermodynamic Properties of Kagome Antiferromagnets with different Perturbations
• Dynamic Spin Fluctuations at $T\to 0$ in a Spin-1/2 Ferromagnetic Kagome Lattice
• Polarized neutron scattering studies of the kagome lattice antiferromagnet KFe3(OH)6(SO4)2
• High-Field Expansion Approach to Kagome Antiferromagnets with Dzyaloshinskii-Moriya Interactions
• Photo-induced Floquet Weyl magnons in noncollinear antiferromagnets
• Topological transitions of spin-excitations in insulating chiral antiferromagnets
• Impact of Dzyaloshinskii-Moriya and anisotropic exchange interactions on the cubic kagome antiferromagnets Mn${}_3$X and Mn${}_3$AB
• A study of long range order in certain two-dimensional frustrated lattices
• Is Herbertsmithite far from an ideal antiferromagnet? Ab-initio answer including in-plane Dzyaloshinskii-Moriya interactions and coupling with extra-plane impurities
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• A Series Expansion Study for Large Negative Quantum Renormalization of Magnon Spectra in the $S=1/2$ Kagome-Lattice Heisenberg Antiferromagnet Cs${}_2$Cu${}_3$SnF${}_{12}$
• Magnetic order in the chemically-substituted frustrated antiferromagnet CsCrF${}_4$
• Degenerate magnetic ground state and metastable state on trihexagonal Co-sublattices in Co3Sn2(S,Se)2 single crystals
• Topological Aspects of Antiferromagnets
• Magnetic Order in Laser-Irradiated Kagome Antiferromagnets
• Quantifying the Phase Diagram and Hamiltonian of $S=1/2$ Kagome Antiferromagnets: Bridging Theory and Experiment
• Gauge flux generations of weakly magnetized Dirac spin liquid in a kagomé lattice
• Disorder-induced spin-cluster magnetism in a doped kagome spin liquid candidate
• Spin liquid and ferroelectricity close to a quantum critical point in PbCuTe${}_2$O${}_6$
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order
• Evidence for magnetoelastic coupling and chiral magnetic ground state in quasi-van der Waals tr-Cr${}_{1.22}$Te${}_2$