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I focus on one of the simplest states of magnetized triangular lattice antiferromagnets, a 1/3 magnetization plateau state, and describe how it can be used, with a help of proper
deformation of the model, as a convenient gateway to other nontrivial states of magnetic matter.
The first of these is a spin nematic, which appears as a result of a two-magnon (bound pair) condensation near the end-point of the magnetization plateau. The two-magnon instability leads to a novel 2D vector chiral phase with alternating spin currents but no magnetic order in the direction transverse to the field. I show that the transition can be described as a spontaneous generation of the Dzyaloshinskii-Moriya interaction. The second interesting state is a half-metal, supporting fractional magnetization plateau, which can be realized in a weakly interacting Hubbard model on triangular and other frustrated lattices. |
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