Electronic properties of the 1D Frenkel-Kontorova model

Abstract

The energy spectra and quantum diffusion of an electron in a 1D incommensurate Frenkel-Kontorova (FK) model are studied numerically. We found that the spectral and dynamical properties of electron display quite different behaviors in invariance circle regime and in Cantorus regime. In the former case, it is similar to that of the Harper model, whereas in the latter case, it is similar to that of the Fibonacci model. The relationship between spectral and transport properties is discussed.

5 PRL pages, 5 Eps figures

References in corpus (2)

• Can disorder induce a finite thermal conductivity in 1D lattices?
• Mode-locking of incommensurate phase by quantum zero point energy in the Frenkel-Kontorova model

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• Complete escape from localization on a hierarchical lattice: A Koch fractal with all states extended
• Two-strand ladder network variants: localization, multifractality, and quantum dynamics under an Aubry-André-Harper kind of quasiperiodicity
• Proximity-induced flat bands and topological properties in a decorated diamond chain
• Fluctuation-stable generalized entropy probes of spectral heterogeneity