Transport in the random Kronig-Penney model
Mathematical Physics
2016-10-28 v1 math.MP
Abstract
The Kronig-Penney model with random Dirac potentials on the lattice has critical energies at which the Lyapunov exponent vanishes and the density of states has a van Hove singularity. This leads to a non-trivial quantum diffusion even though the spectrum is known to be pure-point.
Keywords
Cite
@article{arxiv.1207.0295,
title = {Transport in the random Kronig-Penney model},
author = {Maxim Drabkin and Werner Kirsch and Hermann Schulz-Baldes},
journal= {arXiv preprint arXiv:1207.0295},
year = {2016}
}