Electronic properties of the octagonal tiling : a new renormalization-group calculation
نویسندگان
چکیده
we present a new renormalization-group calculation of the octagonal tiling excitation spectrum. Two new self-;imilar octagonal tilings are introduced, a triangle-Lite and a triangle-dan tiling, which are entangled with the standard rhombus-~quare tiling. The decimation procedure involved in the renormalization group calculation transforms each tiling enta a different one and goe; back tu the (rescaled) original tiling after three steps. The local and average density of state; are calculated. In the case of a Laplacian-like tight-binding Hamiltonian, on the standard rhombussquare octagonal tiling, Dur results compare reasonably well to numerically denved
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