Extended electronic states in disordered 1-d lattices: an example

We discuss a very simple model of a 1-d disordered lattice, in which all the electronic eigenstates are extended. The nature of these states is examined from several viewpoints, and it is found that the eigenfunctions are not Bloch functions although they extend throughout the chain. Some typical wavefunctions are plotted. This Problem originated in the earlier study of extended states in the quasiperiodic copper-mean lattice of Sil, Karmakar, Moitra and Chakrabarti [Phys. Rev. B (1993)]. In the present investigation extended states are found to arise from a different kind of correlation than that of the well-known dimer-type.