Gg. Naumis et al., EFFECTS OF FRUSTRATION AND LOCALIZATION OF STATES IN THE PENROSE LATTICE, Physical review. B, Condensed matter, 50(14), 1994, pp. 9834-9842
The central gap in the density of states and the localization of state
s on a Penrose lattice are investigated within a tight-binding model f
or the vertex problem. The results show that the gap is a consequence
of frustration. There are surface states within the gap in a finite la
ttice. The correlation between the appearance of the gap and the local
ization of states is also studied.