The Landauer resistance of generalized Fibonacci lattices: the dynamical maps approach

We study the electronic properties of the generalized Fibonacci lattices containing finite numbers of rectangular barriers distributed quasi-periodically. In the framework of the Kronig-Penney model we derive the dynamical maps which allow to calculate the Landauer resistance of the considered systems. The maps obtained are an extension of the existing results to: (1) the more general class of distributions of rectangular barriers; and (2) the case of complex unimodular matrices.