Electronic Properties of Two-dimensional Hexagonal Systems

Rojas-Cuervo, A. M.; Barrera‐Patiño, C. P.; Rey‐González, R. R.

doi:10.1063/1.3666310

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2014

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“…However, not all hexagonal layers exhibit Dirac cones. Our theoretical results indicate that diatomic hexagonal monolayers do not present this behavior [39]. Thus far, our numerical results are in good agreement with the predictions of a simple tight-binding model [40].…”

Section: A Lattice Parameterssupporting

confidence: 84%

Anisotropic Dirac cones in monoatomic hexagonal lattices: a DFT study

2014

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In the last few years, the fascinating properties of graphene have been thoroughly investigated. The existence of Dirac cones is the most important characteristic of the electronic band-structure of graphene. In this theoretical paper, hexagonal monolayers of silicon (h-Si) and germanium (h-Ge) are examined using density functional theory, within the generalized gradient approximation. Our numerical results indicate that both h-Si and h-Ge are chemically stable. The lattice parameters, electronic dispersion relations and densities of states for these systems are reported. The electronic dispersion relations display Dirac cones with the symmetry of an equilateral triangle (the group D3) in the vicinity of the K points. Hence, the Fermi velocity depends on the wave vector direction around K points. Fermi velocities for holes and electrons are significantly different. The maximum and minimum Fermi velocities are also reported.

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Section: A Lattice Parameterssupporting

confidence: 84%