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Three-dimensional effects on the electronic structure of quasiperiodic systems

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Maciá Barber, Enrique Alfonso and Domínguez-Adame Acosta, Francisco (1995) Three-dimensional effects on the electronic structure of quasiperiodic systems. Physica B, 216 (1-2). pp. 53-62. ISSN 0921-4526

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Official URL: http://dx.doi.org/10.1016/0921-4526(95)00431-9




Abstract

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.


Item Type:Article
Additional Information:

© Elsevier Science BV.
This work is supported by CICYT through project MAT95-0325.

Uncontrolled Keywords:Fibonacci Superlattice, Quasi-Crystals, Quasicrystals, Resistance, Lattice, Spectra
Subjects:Sciences > Physics > Materials
ID Code:27674
Deposited On:10 Dec 2014 12:46
Last Modified:12 Feb 2018 18:30

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