Line of Dirac Nodes in Hyperhoneycomb Lattices.

  title={Line of Dirac Nodes in Hyperhoneycomb Lattices.},
  author={K. Mullen and B. Uchoa and D. Glatzhofer},
  journal={Physical review letters},
  volume={115 2},
We propose a family of structures that have "Dirac loops," closed lines of Dirac nodes in momentum space, on which the density of states vanishes linearly with energy. Those lattices all possess the planar trigonal connectivity present in graphene, but are three dimensional. We show that their highly anisotropic and multiply connected Fermi surface leads to quantized Hall conductivities in three dimensions for magnetic fields with toroidal geometry. In the presence of spin-orbit coupling, we… Expand

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