Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions

Abstract

We investigate the zero-temperature phase diagram of the nearest-neighbor kagome antiferromagnet in the presence of Dzyaloshinksii-Moriya interaction. We develop a theory for the transition between Z2 spin liquids with bosonic spinons and a phase with antiferromagnetic long-range order. Connections to recent numerical studies and experiments are discussed.

arXiv comment8 pages, 7 figures; (v2) corrected figure

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Cited by in corpus (48)

• Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice
• Frustration and quantum criticality
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Interplay of thermal and quantum spin fluctuations on the kagome lattice
• Universal Signatures of Fractionalized Quantum Critical Points
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Spin Liquid State in the 3D Frustrated Antiferromagnet PbCuTe2O6: NMR and muSR Studies
• Constraints on topological order in Mott Insulators
• 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
• Chiral spin liquid on kagome antiferromagnet induced by Dzyaloshinskii-Moriya interaction
• Scalar Chiral Spin-1/2 Order on Kagome Lattices in Nd3Sb3Mg2O14
• Variational study of J1-J2 Heisenberg model on Kagome lattice using projected Schwinger boson wave functions
• Thermal Hall effects in quantum magnets
• Emergent ${\mathbb{Z}}_2$ gauge theories and topological excitations in Rydberg atom arrays
• Order and excitations in large-$S$ kagomé-lattice antiferromagnets
• Materializing Rival Ground States in the Barlowite Family of Kagome Magnets: Quantum Spin Liquid, Spin Ordered, and Valence Bond Crystal States
• Quantum spin liquids in the absence of spin-rotation symmetry: application to Herbertsmithite
• Mechanisms for Sub-Gap Optical Conductivity in 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
• A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
• Heat Transport in Herbertsmithite: Can a Quantum Spin Liquid Survive Disorder?
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Measuring space-group symmetry fractionalization in Z${}_2$ spin liquids
• Quantum kagome antiferromagnet: ZnCu3(OH)6Cl2
• Instabilities of Spin-Liquid States in a Quantum Kagome Antiferromagnet
• Topological thermal Hall effect driven by fluctuation of spin chirality in frustrated antiferromagnets
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• Entanglement Structure of Deconfined Quantum Critical Points
• $\mu$SR Insight into the Impurity Problem in Quantum Kagome Antiferromagnets
• 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
• Destruction of valence-bond order in a $S=1/2$ sawtooth chain with a Dzyaloshinskii-Moriya term
• U(1) symmetry of the spin-orbit coupled Hubbard model on the Kagome lattice
• Order by disorder in classical kagome antiferromagnets with chiral interactions
• Schwinger Boson mean field theory of kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• Ferrimagnetic 120${}^{\circ }$ magnetic structure in Cu2OSO4
• 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
• Uncovering gauge-dependent critical order-parameter correlations by a stochastic gauge fixing at O($N$)${}^{\ast }$ and Ising${}^{\ast }$ continuous transitions
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Quantifying the Phase Diagram and Hamiltonian of $S=1/2$ Kagome Antiferromagnets: Bridging Theory and Experiment
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model