Multiple gaps in the tight-binding band of a pentagonal lattice
Mesoscale and Nanoscale Physics
2017-02-28 v2
Abstract
Multiple gaps in the tight-binding band of a pentagonal lattice are found. Unlike the Cairo pentagonal lattice this lattice is made of irregular pentagons with arms of different lengths. The tight-binding Hamiltonian is exactly solved to obtain analytic expressions of dispersion relations and eigenvectors. Four different band-gaps are identified along with two distinct indirect band-gaps at the Harrison point. Multiple band-gaps in this model may give rise to exotic electronic properties.
Keywords
Cite
@article{arxiv.1611.06029,
title = {Multiple gaps in the tight-binding band of a pentagonal lattice},
author = {Susobhan Paul and Asim Kumar Ghosh},
journal= {arXiv preprint arXiv:1611.06029},
year = {2017}
}
Comments
This paper has been withdrawn by the authors to rectify crucial errors in the derivations