Existence and localization of surface states on Fibonacci quasicrystals: Atight-binding study

Authors
Zijlstra, ES Fasolino, A Janssen, T
Citation
Es. Zijlstra et al., Existence and localization of surface states on Fibonacci quasicrystals: Atight-binding study, PHYS REV B, 59(1), 1999, pp. 302-307
Citations number
24
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICAL REVIEW B-CONDENSED MATTER
ISSN journal
01631829 → ACNP
Volume
59
Issue
1
Year of publication
1999
Pages
302 - 307
Database
ISI
SICI code
0163-1829(19990101)59:1<302:EALOSS>2.0.ZU;2-5
Abstract
Surface states of the Fibonacci chain are studied within the tight binding off-site model for clusters and approximants by numerical and transfer matr ix methods. In each gap of the bulk spectrum a surface stale can exist. The existence and energy of a surface state depend on the boundary conditions at the surface. The exponential envelope of surface states is used to defin e a localization length, which is shown to depend only on the energy of a s pecific state. [S0163-1829(99)05901-9].