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Phys Rev Lett. 2002 Jan 28;88(4):046804. doi: 10.1103/PhysRevLett.88.046804. Epub 2002 Jan 14.

Electronic properties of the 1D Frenkel-Kontorova model.

Physical review letters

Peiqing Tong, Baowen Li, Bambi Hu


  1. Department of Physics, Nanjing Normal University, Nanjing, Jiangsu, 210097, China.

PMID: 11801152 DOI: 10.1103/PhysRevLett.88.046804


The energy spectra and quantum diffusion of an electron in a 1D incommensurate Frenkel-Kontorova model are studied numerically. We found that the spectral and dynamical properties of an electron display quite different behaviors in the invariance circle regime and in the 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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