Maciá Barber, Enrique AlfonsoDomínguez-Adame Acosta, Francisco2023-06-202023-06-201995-120921-452610.1016/0921-4526(95)00431-9https://hdl.handle.net/20.500.14352/59373© Elsevier Science BV. This work is supported by CICYT through project MAT95-0325.We report on a theoretical study of the electronic structure of quasiperiodic, quasi-one-dimensional systems where fully three-dimensional interaction potentials are taken into account. In our approach, the actual physical potential acting upon the electrons is replaced by a set of nonlocal separable potentials, leading to an exactly solvable Schrodinger equation. By choosing an appropriate trial potential, we obtain a discrete set of algebraic equations that can be mapped onto a general tight-binding-like equation. We introduce a Fibonacci sequence either in the strength of the on-site potentials or in the nearest-neighbor distances, and we find numerically that these systems present a highly fragmented, self-similar electronic spectrum, which becomes singular continuous in the thermodynamical limit. In this way we extend the results obtained so far in one-dimensional models to the three-dimensional case. As an example of the application of the model we consider the chain polymer case.engjournal articlehttp://dx.doi.org/10.1016/0921-4526(95)00431-9http://www.sciencedirect.comhttp://arxiv.org/abs/cond-mat/9506107open access538.9Fibonacci SuperlatticeQuasi-CrystalsQuasicrystalsResistanceLatticeSpectraFísica de materiales