Hidden Dimer in the Frenkel-Kontorova model

Details Hidden Dimer in the Frenkel-Kontorova model Hidden Dimer in the Frenkel-Kontorova model

1998-02-13

arxiv.org/abs/cond-mat/9802149v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, RevTeX, 3 figures

Scientific paper

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.

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