most citedPhonon modes in the Frenkel-Kontorova chain: exponential localization and the number theory properties of frequency bands

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cond-mat.dis-nn2005★ 1 cited

Phonon modes in the Frenkel-Kontorova chain: exponential localization and the number theory properties of frequency bands

O. V. Zhirov, G. Casati, D. L. Shepelyansky

We study numerically phonon modes of the classical one-dimensional Frenkel-Kontorova chain, in the regime of pinned phase characterized by the phonon gap and devil's staircase, as…