Wave transmission, phonon localization, and heat conduction of a one-dimensional Frenkel-Kontorova chain

Peiqing Tong, Baowen Li, Bambi Hu

Research output: Contribution to journalJournal articlepeer-review

48 Citations (Scopus)

Abstract

We study the transmission coefficient of a plane wave through a one-dimensional finite quasiperiodic system-the Frenkel-Kontorova (FK) model-embedding in an infinite uniform harmonic chain. By varying the mass of atoms in the infinite uniform chain, we obtain the transmission coefficients for all eigenfrequencies. The phonon localization of the incommensurated FK chain is also studied in terms of the transmission coefficients and the Thouless exponents. Moreover, the heat conduction of the Rubin-Greer-like model for the FK chain at low temperature is calculated. It is found that the stationary heat flux J(N)∼Nα, and α depends on the strength of the external potential.

Original languageEnglish
Pages (from-to)8639-8645
Number of pages7
JournalPhysical Review B
Volume59
Issue number13
DOIs
Publication statusPublished - Apr 1999

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