Localization-delocalization transition in a presence of correlated disorder: The random dimer model
Abstract
The one dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at Ec = εa,b of two possible values of the chemical potential in case of εa-εb ≤ 2 is confirmed and the corresponding indices of the localization length were calculated. The singular integral equation connecting the density of states with the inverse localization length is solved and the analytic expression for the density of states compared with the numerical calculations.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.