中文

与阿基米德铺砌相关的周期量子图的色散关系(II)

谱理论 2019-07-30 v3

摘要

我们延续先前论文\cite{LJL}的工作,推导与11种阿基米德铺砌中剩余5种相关的周期量子图的色散关系,即截角六边形铺砌(3,122)(3,12^2)、 rhombi-trihexagonal铺砌(3,4,6,4)(3,4,6,4)、snub square铺砌(32,4,3,6)(3^2,4,3,6)、snub trihexagonal铺砌(34,6)(3^4,6)以及截角三六边形铺砌(4,6,12)(4,6,12)。计算借助符号软件Mathematica完成。利用这些显式色散关系,我们对谱进行了更多分析。

关键词

引用

@article{arxiv.1903.07323,
  title  = {Dispersion relations of periodic quantum graphs associated with Archimedean tilings (II)},
  author = {Yu-Chen Luo and Eduardo O. Jatulan and Chun-Kong Law},
  journal= {arXiv preprint arXiv:1903.07323},
  year   = {2019}
}

备注

43 Pages, 9 figures, 1 table. arXiv admin note: text overlap with arXiv:1809.09581