Ordered Phases of the Anisotropic Kagome Lattice Antiferromagnet in a Field

Abstract

The antiferromagnetic Heisenberg model on an anisotropic kagome lattice may be a good minimal model for real magnetic systems as well as a limit from which the isotropic case can be better understood. We therefore study the nearest-neighbor Heisenberg antiferromagnet on an anisotropic kagome lattice in a magnetic field. Such a system should be well described by weakly interacting spin chains, and we motivate a general form for the interaction by symmetry considerations and by perturbatively projecting out the inter-chain spins. In the spin 1/2 case, we find that the system exhibits a quantum phase transition from a ferrimagnetic ordered state to an XY ordered state as the field is increased. Finally, we discuss the appearance of magnetization plateaux in the ferrimagnetic phase.

arXiv comment11 pages, 5 figures, submitted to PRB

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• Chiral Spin Liquids in Arrays of Spin Chains
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet
• Spin dynamics in the high-field phases of volborthite
• High-field Phase Diagram and Spin Structure of Volborthite Cu3V2O7(OH)2/2H2O
• Heterogeneous spin state in the field-induced phase of volborthite as seen via 51V nuclear magnetic resonance
• Partial ferromagnetic ordering and indirect exchange interaction in spatially anisotropic kagome antiferromagnet Cs_2Cu_3CeF_{12}
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• Ferromagnetism induced in anisotropic stacked kagome-lattice antiferromagnet Cs${}_2$Cu${}_3$CeF${}_{12}$
• 1/5 and 1/3 magnetization plateaux in the spin 1/2 chain system YbAlO3
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays