TY - JOUR
T1 - Schrödinger Operators on a Zigzag Supergraphene-Based Carbon Nanotube
AU - Hiroaki Niikuni
JO - Communications in Computational Physics
VL - 5
SP - 1434
EP - 1475
PY - 2018
DA - 2018/04
SN - 23
DO - http://doi.org/10.4208/cicp.120715.080517a
UR - https://global-sci.org/intro/article_detail/cicp/11222.html
KW - Carbon nanotube, zigzag nanotube, supergraphene, quantum graph, spectral gap, band structure, Floquet–Bloch theory, Hill operator.
AB - <p style="text-align: justify;">Throughout this paper, we study the spectrum of a periodic Schrödinger
operator on a zigzag super carbon nanotube, which is a generalization of the zigzag
carbon nanotube. We prove that its absolutely continuous spectrum has the band structure.
Moreover, we show that its eigenvalues with infinite multiplicities consisting of
the Dirichlet eigenvalues and points embedded in the spectral band for some corresponding
Hill operator. We also give the asymptotics for the spectral band edges.</p>