Abstract
We have examined the elementary excitation spectra of continuous random networks having only even rings or both even and odd rings. We have shown that odd rings introduce localized states and suppress the density of states near a spectral bound associated with sign alteration in the spatial dependence of the state. While this is a general conclusion, we show it explicitly only for the nearest-neighbor tight-binding s-band and related magnon and phonon models. In the latter case, phonon softening or phonon hardening can result. In the former case, we show that frustration leads to localized magnons.
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.
