Comment on article "Line of Dirac Nodes in Hyperhoneycomb Lattices"

preprint2016arXivOpen access

Abstract

Recently, carbon hyperhoneycomb (H\mathcal{H}-n) lattices have been proposed to be, through a one-pp orbital tight-binding (TB) model with nearest-neighbor (n.n.) hopping, a family of strong 3D topological insulators (K. Mullen, B. Uchoa and D. T. Glatzhofer, Phys. Rev. Lett. 115, 026403 (2015)) . In this Comment we show, through Density Functional Theory (DFT) and Extended Hückel Theory (EHT) calculations for the H\mathcal{H}-0 lattice, that the TB Hamiltonian used by the authors is inadequate, invalidating the presented conclusions.

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