Dispersion relations of periodic quantum graphs associated with Archimedean tilings (II)

Abstract

© 2019 IOP Publishing Ltd. 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 (4, 6, 12). The computation is done with the help of the symbolic software Mathematica. With these explicit dispersion relations, we perform more analysis on the spectra.

Source or Periodical Title

Journal of Physics A: Mathematical and Theoretical

ISSN

17518113

Document Type

Article

Subject

absolutely continuous spectrum, characteristic functions, Floquet-Bloch theory, uniform tiling

This document is currently not available here.

Share

COinS