1998/02/13 by Jukka A. Ketoja, Ketoja, Jukka A., Indubala I. Satija +1
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Quantum and electron transport phenomena #Rare-earth and actinide compounds #Topological Materials and Phenomena #chao-dyn #cond-mat.dis-nn #nlin.CD
paper · pdf · doi:10.48550/arxiv.cond-mat/9802149
4 pages, RevTeX, 3 figures
arxiv created 1998/02/13 · openalex publication_date 1998/02/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The incommensurability of the supercritical Frenkel-Kontorova model is decomposed into a family of dimer type "defects" by appropriate decimations. Interestingly, this hidden dimer results in Bloch-wave type excitations of the renormalized chain which appear in the disguised form of multi-step phonon modes for the original system. We call these intriguing excitations stepon modes and conjecture that they play a key role in determining the localization boundary in systems exhibiting Anderson localization.