Spectrum and diffusion for a class of tight-binding models on hypercubes
介观与纳米尺度物理
2007-05-23 v1
摘要
We propose a class of exactly solvable anisotropic tight-binding models on an infinite-dimensional hypercube. The energy spectrum is analytically computed and is shown to be fractal and/or absolutely continuous according to the value hopping parameters. In both cases, the spectral and diffusion exponents are derived. The main result is that, even if the spectrum is absolutely continuous, the diffusion exponent for the wave packet may be anything between 0 and 1 depending upon the class of models.
引用
@article{arxiv.cond-mat/9811323,
title = {Spectrum and diffusion for a class of tight-binding models on hypercubes},
author = {J. Vidal and R. Mosseri and J. Bellissard},
journal= {arXiv preprint arXiv:cond-mat/9811323},
year = {2007}
}
备注
5 pages Latex