Abstract
The electronic spectrum of one-dimensional quasiperiodic materials such as A B 1- x C x (0≤ x ≤1) is calculated herein within the framework of the off-diagonal tight-binding model by using a simple scheme of the theory of the binary quasiperiodic lattices. The spectrum shows a Cantor-set of energy bands and consists of a center band gap for the whole range of x . We find that unless the potential difference is too strong, the magnitude of the center band gap Δ x is interpolated by a Vegard's law type linear relation with respect to x as Δ x =(1- x )Δ a b + x Δ a c , where Δ a b (Δ a c ) is the band gap for the regular A B ( A C ) alloy. This means that this system is a semiconductor for 0≤ x ≤1. We also show that the center gap follows the Saxon-Hutner-Luttinger theorem.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
