RT Journal Article
T1 Three-dimensional effects on the electronic structure of quasiperiodic systems
A1 Maciá Barber, Enrique Alfonso
A1 Domínguez-Adame Acosta, Francisco
AB 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.
PB Elsevier Science BV
SN 0921-4526
YR 1995
FD 1995-12
LK https://hdl.handle.net/20.500.14352/59373
UL https://hdl.handle.net/20.500.14352/59373
LA eng
NO © Elsevier Science BV.This work is supported by CICYT through project MAT95-0325.
NO CICYT
DS Docta Complutense
RD 5 abr 2025