2 papers
math.SP2019
Dispersion relations of periodic quantum graphs associated with Archimedean tilings (II)
Yu-Chen Luo, Eduardo O. Jatulan, Chun-Kong Law
We continue the work of a previous paper \cite{LJL} to derive the dispersion relations of the periodic quantum graphs associated with the remaining 5 of the 11 Archimedean tilings,…
math.SP2018
Dispersion relations of periodic quantum graphs associated with Archimedean tiling (I)
Yu-Chen Luo, Eduardo O. Jatulan, Chun-Kong Law
There are totally 11 kinds of Archimedean tiling for the plane. Applying the Floquet-Bloch theory, we derive the dispersion relations of the periodic quantum graphs associated with…