Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction

Abstract

We theoretically study the spatially anisotropic spin-1/2 kagome antiferromagnet with Dzyaloshinskii-Moriya (DM) interaction using a renormalization group analysis in the quasi-one-dimensional limit. We identify the various temperature and energy scales for ordering in the system. For very weak DM interaction, we find a low-temperature spiral phase with the plane of the spiral selected by the DM interaction. This phase is similar to a previously identified phase in the absence of the DM interaction. However, above a critical DM interaction strength we find a transition to a phase with coexisting antiferromagnetic and dimer order, reminiscent of one-dimensional antiferromagnetic systems with a uniform DM interaction. Our results help shed light on the fate of two dimensional systems with both strong interactions and significant spin-orbit coupling.

Accepted for publication in Phys. Rev. B

References in corpus (39)

• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• 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
• 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
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Vesignieite BaCu3V2O8(OH)2 as a Candidate Spin-1/2 Kagome Antiferromagnet
• 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${}_2$
• Spin waves in the Frustrated Kagome Lattice Antiferromagnet KFe3(OH)6(SO4)2
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• Dynamic Scaling in the Susceptibility of the Spin-1\2 Kagome Lattice Antiferromagnet Herbertsmithite
• Ordering in spatially anisotropic triangular antiferromagnets
• Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• 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${}_2$
• Spin-orbital effects in magnetized quantum wires and spin chains
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Mott Physics on Helical Edges of 2D Topological Insulators
• Spin Liquid Ground State in the Frustrated Kagome Antiferromagnet MgCu3(OH)6Cl2
• Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the $s=1/2$ kagome system ZnCu_3(OH)_6Cl_2
• Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
• Magnetization Plateaus in the Spin-1/2 Kagome Antiferromagnets: Volborthite and Vesignieite
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet
• A Fractionalized Quantum Spin Hall Effect
• Quantum and Classical Spins on the Spatially Distorted Kagome Lattice: Applications to Volborthite
• Spin dynamics in the S =1/2 kagome compound vesignieite, Cu3Ba(VO5H)2
• Gauge-field fluctuations in 3D topological Mott insulators
• Collapse of Ferrimagnetism in Two-Dimensional Heisenberg Antiferromagnet due to Frustration
• Topological Insulators and Quantum Spin Liquids
• Heisenberg antiferromagnet with anisotropic exchange on the Kagome lattice: Description of the magnetic properties of volborthite
• Dzyaloshinskii-Moriya interactions in valence bond systems
• Heterogeneous spin state in the field-induced phase of volborthite as seen via 51V nuclear magnetic resonance
• Destruction of valence-bond order in a $S=1/2$ sawtooth chain with a Dzyaloshinskii-Moriya term
• Ordered Phases of the Anisotropic Kagome Lattice Antiferromagnet in a Field
• How Do You Want That Insulator?

Cited by in corpus (4)

• Spin-1/2 Heisenberg antiferromagnet on an anisotropic kagome lattice
• Topological Magnetic Excitations on the Distorted Kagome Antiferromagnets: Applications to Volborthite, Vesignieite, and Edwardsite
• Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
• High-Field Expansion Approach to Kagome Antiferromagnets with Dzyaloshinskii-Moriya Interactions