EFFECTS OF FRUSTRATION AND LOCALIZATION OF STATES IN THE PENROSE LATTICE

Citation
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
Citations number
23
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
50
Issue
14
Year of publication
1994
Pages
9834 - 9842
Database
ISI
SICI code
0163-1829(1994)50:14<9834:EOFALO>2.0.ZU;2-3
Abstract
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.