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Fractal spectrum of charge carriers in quasiperiodic graphene structures
JOURNAL OF PHYSICS-CONDENSED MATTER, (2010)
DOI: 10.1088/0953-8984/22/46/465305
Аннотация
In this work we investigate the interaction of charge carriers in
graphene with a series of p-n-p junctions arranged according to a
deterministic quasiperiodic substitutional Fibonacci sequence. The
junctions create a potential landscape with quantum wells and barriers
of different widths, allowing the existence of quasi-confined states.
Spectra of quasi-confined states are calculated for several generations
of the Fibonacci sequence as a function of the wavevector component
parallel to the barrier interfaces. The results show that, as the
Fibonacci generation is increased, the dispersion branches form energy
bands distributed as a Cantor-like set. Besides, for a quasiperiodic set
of potential barriers, we obtain the electronic tunneling probability as
a function of energy, which shows a striking self-similar behavior for
different generation numbers.
