Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-Dimensional Effects on the Electronic Structure of Quasiperiodic
  Systems   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.

28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th