Kagome lattice antiferromagnets and Dzyaloshinsky-Moriya interactions

Abstract

We study the consequences of in-plane (D_p) and out-of-plane (D_z) Dzyaloshinsky-Moriya (DM) interactions on the thermodynamic properties of spin-1/2} Heisenberg model on the kagome lattice using numerical linked cluster expansions and exact diagonalization, and contrast them with those of other perturbations such as exchange anisotropy and dilution. We find that different combinations of the DM anisotropies lead to a wide variety of thermodynamic behavior, which are quite distinct from those of most other perturbations. We argue that the sudden upturn seen experimentally in the susceptibility of the material ZnCu3(OH)6Cl2 can be understood in terms of Dzyaloshinsky-Moriya anisotropies with D_p>|D_z|. We also show that the measured specific heat of the material puts further constraints on the allowed DM parameters.

12 pages, 15 figures. Content, references, and comments on recent experiments have been added. Published version

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Cited by in corpus (51)

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• 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-orbit effects in Na${}_4$Ir${}_3$O${}_8$, a hyper-kagomé lattice antiferromagnet
• Dynamic Scaling in the Susceptibility of the Spin-1\2 Kagome Lattice Antiferromagnet Herbertsmithite
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• A Schwinger-boson approach to the kagome with Dzyaloshinskii-Moriya interactions: phase diagram and dynamical structure factors
• Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
• Refining the Spin Hamiltonian in the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$ using Single Crystals
• Synthesis and Characterization of Single Crystal Samples of Spin-$1/2$ Kagome Lattice Antiferromagnets in the Zn-Paratacamite Family Zn${}_x$Cu${}_{4-x}$(OH)${}_6$Cl${}_2$
• Scalar Chiral Spin-1/2 Order on Kagome Lattices in Nd3Sb3Mg2O14
• Singlet Ground State and Spin Gap in S=1/2 Kagome Antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
• Magnetic susceptibilities in a family of S=1/2 Kagome antiferromagnet
• Ground State and Intrinsic Susceptibility of the Kagome Antiferromagnet Vesignieite as seen by 51V NMR
• Exchange energies of Kapellasite from high-temperature series analysis of the kagome lattice J1-J2-Jd-Heisenberg model
• Origin of Magnetic Ordering in a Structurally-Perfect Quantum Kagome Antiferromagnet
• Gapless spin liquid in the kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
• 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
• Spontaneous spin ordering of Dirac spin liquid in a magnetic field
• How to detect weak emergent broken-symmetries of the Kagome antiferromagnet from Raman spectroscopy
• Quantum kagome antiferromagnet: ZnCu3(OH)6Cl2
• Weak Ferromagnetic Exchange and Anomalous Specific Heat in ZnCu3(OH)6Cl2
• Functional renormalization group for frustrated magnets with nondiagonal spin interactions
• Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice
• High temperature series expansion study of the Heisenberg antiferromagnet on the hyperkagome lattice: Comparison with Na${}_4$Ir${}_3$O${}_8$
• Thermodynamics of the Antiferromagnetic Heisenberg Model on the Checkerboard Lattice
• Spin Triplet Excitations for a Valence Bond Solid on the Kagome Lattice
• Studies of non-magnetic impurities in the spin-1/2 Kagome Antiferromagnet
• 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
• Numerical study of the thermodynamics of clinoatacamite
• Destruction of valence-bond order in a $S=1/2$ sawtooth chain with a Dzyaloshinskii-Moriya term
• Field dependent competing magnetic ordering in multiferroic Ni3V2O8
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Emergence of the spin polarized domains in the kagome lattice Heisenberg antiferromagnet Zn-barlowite (Zn${}_{0.95}$Cu${}_{0.05}$)Cu${}_3$(OD)${}_6$FBr
• The Herbertsmithite Hamiltonian: $\mu$SR measurements on single crystals
• Magnetic anisotropy of spin tetramer system SeCuO${}_3$ studied by torque magnetometry and ESR spectroscopy
• Spin Anisotropy in ZnCu_3(OH)_6Cl_2
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• Magnons in a two dimensional transverse field XXZ model
• The SpinParser software for pseudofermion functional renormalization group calculations on quantum magnets
• Thermodynamic Properties of Kagome Antiferromagnets with different Perturbations
• Impact of Dzyaloshinsky-Moriya Interactions and Tilts of the g Tensors on the Magnetization Process of a Spherical Kagome Cluster in {W72V30}
• L-based numerical linked cluster expansion for square lattice models
• Is Herbertsmithite far from an ideal antiferromagnet? Ab-initio answer including in-plane Dzyaloshinskii-Moriya interactions and coupling with extra-plane impurities
• New S=1/2 Kagome Antiferromagnets A${}_2$Cu${}_3$SnF${}_{12}$: A=Cs and Rb