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Title: Pinning and phonon localization in Frenkel-Kontorova models on quasiperiodic substrates
Authors: Van Erp, Titus ×
Fasolino, A
Radulescu, O
Janssen, T #
Issue Date: Sep-1999
Publisher: Published for the American Physical Society by the American Institute of Physics
Series Title: Physical Review B, Condensed Matter vol:60 issue:9 pages:6522-6528
Abstract: We show that the static and dynamic properties of the Frenkel-Kontorova (FK) model drastically change when an incommensurate harmonic is added to the periodic potential. Our model consists of a harmonic chain with spacing I on a quasiperiodic substrate potential of the form V(x)= sigma K/(2 pi)(2) [1 - cos(2 pi x)] +(1-sigma)K/(2 pi tau)(2)[1-cos(2 pi tau x)], where the three relevant lengths I, 1, and tau(-1) are chosen to be mutually incommensurate. Within this model we identify two classes of behavior. One presents a sliding mode up to an analyticity breaking, as in the FK model, and another is pinned for any strength of the additional harmonic. Besides, we show that in all cases if sigma not equal 0 or 1, localization of phonons exists beyond a critical value of the potential strength. [S0163-1829(99)12629-8].
ISSN: 0163-1829
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Centre for Surface Chemistry and Catalysis
× corresponding author
# (joint) last author

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