Electronic structure of disclinated polytopes

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Abstract
Discrete curved-space models are a useful paradigm for complex dense-packed structures such as metallic glasses. The idea is to define an ideal structure in a curved space where a given local packing arrangement may propagate and then introduce decurving defects to map it onto a realistic flat-space structure. In the following we study the effect of certain configurations of (partially) decurving defects on the electronic density of states within the tight-binding approximation