Abstract

We study the electronic properties of a class of two-dimensional dodecagonal quasilattices characterized by a unique bond length. We have numerically calculated the integrated density of states, and investigated the localization of the electronic states by the use of the generalized first moment, second moment, and the inverse participation ratio. The results are very different from those of the two-dimensional Penrose quasilattices. It is found that there are no highly degenerate studies, and no local topological structure which supports a localized state. All of the states are intermediate ones.

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