Heisenberg-Kitaev models on hyperhoneycomb and stripy-honeycomb lattices: 3D-2D equivalence of ordered states and phase diagrams

  title={Heisenberg-Kitaev models on hyperhoneycomb and stripy-honeycomb lattices: 3D-2D equivalence of ordered states and phase diagrams},
  author={Wilhelm G. F. Kr{\"u}ger and Matthias Vojta and Lukas Janssen},
  journal={Physical Review Research},
We discuss magnetically ordered states, arising in Heisenberg-Kitaev and related spin models, on three-dimensional (3D) harmonic honeycomb lattices. For large classes of ordered states, we show that they can be mapped onto two-dimensional (2D) counterparts on the honeycomb lattice, with the classical energetics being identical in the 2D and 3D cases. As an example, we determine the phase diagram of the classical nearest-neighbor Heisenberg-Kitaev model on the hyperhoneycomb lattice in a… 

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