Abstract
We theoretically investigate the character of electronic eigenstates and transmission properties of a one-dimensional array of stubs with Cantor geometry. Within the framework of real space renormalization group (RSRG) and transfer matrix methods we analyze the resonant transmission and extended wave functions in a Cantor array of stubs, which lack translational order. Apart from resonant states with high transmittance we unravel a whole family of wave functions supported by such an array clamped between two-infinite ordered leads, which have an extended character in the RSRG scheme but, for such states the transmission coefficient across the lead-sample-lead structure decays following a power law as the system grows in size. This feature is explained from renormalization group ideas and may lead to the possibility of trapping of electronic, optical, or acoustic waves in such hierarchical geometries.
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.
