Three-Dimensional Effects on the Electronic Structure of Quasiperiodic Systems

Details Three-Dimensional Effects on the Electronic Structure of Quasiperiodic Systems Three-Dimensional Effects on the Electronic Structure of Quasiperiodic Systems

1995-06-23

arxiv.org/abs/cond-mat/9506107v1

Physics

Condensed Matter

REVTeX 3.0, 19 pages, 6 figures (available upon request). To appear in Physica B

Scientific paper

10.1016/0921-4526(95)00431-9

We report on a theoreticl 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.

Affiliated with

Also associated with

No associations

Rating

Three-Dimensional Effects on the Electronic Structure of Quasiperiodic Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Three-Dimensional Effects on the Electronic Structure of Quasiperiodic Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three-Dimensional Effects on the Electronic Structure of Quasiperiodic Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-531387