Abstract
We continue the work of a previous paper (Luo et al 2019 J. Phys. A. Math. Theor. 52 165201) to derive the dispersion relations of the periodic quantum graphs associated with the remaining 5 of the 11 Archimedean tilings, namely the truncated hexagonal tiling (3,122), rhombi-trihexagonal tiling , snub square tiling (32,4,3,6), snub trihexagonal tiling (34,6), and truncated trihexagonal tiling . The computation is done with the help of the symbolic software Mathematica. With these explicit dispersion relations, we perform more analysis on the spectra.
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More From: Journal of Physics A: Mathematical and Theoretical
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