Phys Rev Lett. 2002 Jan 28;88(4):046804. doi: 10.1103/PhysRevLett.88.046804. Epub 2002 Jan 14.
Physical review letters
Peiqing Tong, Baowen Li, Bambi Hu
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.