Electronic properties of the 1D Frenkel-Kontorova model

Details Electronic properties of the 1D Frenkel-Kontorova model Electronic properties of the 1D Frenkel-Kontorova model

2002-05-16

arxiv.org/abs/cond-mat/0205335v1

Phys. Rev. Lett 88, 046804 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 PRL pages, 5 Eps figures

Scientific paper

10.1103/PhysRevLett.88.046804

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.

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