Transport in the random Kronig-Penney model

The Kronig-Penney model with random Dirac potentials on the lattice \documentclass[12pt]{minimal}\begin{document}${\mathbb {Z}}$\end{document} Z 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 dif...

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Veröffentlicht in:	Journal of mathematical physics 2012-12, Vol.53 (12), p.1
Hauptverfasser:	Drabkin, Maxim, Kirsch, Werner, Schulz-Baldes, Hermann
Format:	Artikel
Sprache:	eng
Schlagworte:	Density of states Diffusion Exact sciences and technology Lattice theory Lattices Lyapunov exponents Mathematical functions Mathematical methods in physics Mathematical models Mathematics Physics Quantum physics Schrodinger equation Sciences and techniques of general use Singularities Transport
Online-Zugang:	Volltext
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Zusammenfassung:	The Kronig-Penney model with random Dirac potentials on the lattice \documentclass[12pt]{minimal}\begin{document}${\mathbb {Z}}$\end{document} Z 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.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.4769219