Equality of the density of states in a wide class of tight-binding Lorentzian random models

Abstract

We prove directly the equality of the density of states in a wide class of tight-binding Lorentzian random models, including the Lloyd model, the $tan(2\ensuremath{\pi}\ensuremath{\alpha}n+\ensuremath{\theta})$ model of Grempel, Fishman, and Prange, and a model with potential $\ensuremath{\Sigma}{i}^{}{\ensuremath{\psi}}_{i}tan(2\ensuremath{\pi}{\ensuremath{\alpha}}_{i}n)$, where $\ensuremath{\Sigma}{i}^{}{\ensuremath{\psi}}_{i}=1$ and the ${\ensuremath{\alpha}}_{i}$ are rationally independent.

Locations

• Physical review. B, Condensed matter - View
• CaltechAUTHORS (California Institute of Technology) - View - PDF