Abstract
A tight-binding approach to the electronic structure of disordered systems is developed for a simple one-orbital model of a liquid metal. An equation is derived for a one-electron continuum Green's function from which the electronic density of states can be obtained. Utilizing an analogy between this Green's function and the $T$ matrix of multiple-scattering theory, results are obtained corresponding to the quasicrystalline approximation (QCA) of Lax and the self-consistent approximation (SCA) of Schwartz and Ehrenreich. Moments of the spectral function are also analyzed. Calculations were made using random and hard-sphere pair distribution functions. The QCA in this model is quite inadequate, and the SCA, while a considerable improvement, proves to involve a questionable approximation to the three-body distribution function.
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.
