Electronic Properties of the 1D Frenkel-Kontorova Model

Peiqing Tong; Baowen Li; Bambi Hu

doi:10.1103/PhysRevLett.88.046804

Electronic Properties of the 1D Frenkel-Kontorova Model

Peiqing Tong, Baowen Li, and Bambi Hu

Phys. Rev. Lett. 88, 046804 – Published 14 January 2002

Abstract

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.

Received 23 May 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.046804

Authors & Affiliations

Peiqing Tong^1,3, Baowen Li², and Bambi Hu^3,4

¹Department of Physics, Nanjing Normal University, Nanjing, Jiangsu, 210097, China
²Department of Physics, National University of Singapore, 117542 Singapore
³Department of Physics and Centre of Nonlinear Studies, Hong Kong Baptist University, Hong Kong, China
⁴Department of Physics, University of Houston, Houston, Texas 77204-5506