Ordered Phases of the Anisotropic Kagome Lattice Antiferromagnet in a Field

Details Ordered Phases of the Anisotropic Kagome Lattice Antiferromagnet in a Field Ordered Phases of the Anisotropic Kagome Lattice Antiferromagnet in a Field

2007-12-14

arxiv.org/abs/0712.2269v1

Phys. Rev. B 77, 174414 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 5 figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.77.174414

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.

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