Transport in the random Kronig-Penney model

Abstract

The Kronig-Penney model with random Dirac potentials on the lattice $\ZM$ 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.

References in corpus (1)

• Scaling diagram for the localization length at a band edge

Cited by in corpus (5)

• A self-adjointness criterion for the Schrödinger operator with infinitely many point interactions and its application to random operators
• Transport in quantum multi-barrier systems as random walks on a lattice
• Pseudo-gaps for random hopping models
• Eigenvalue statistics for Schrödinger operators with random point interactions on ${\mathbb{R}}^d$, $d=1,2,3$
• Gaussian fluctuations of products of random matrices distributed close to the identity