Effect of disorder correlation in random mers

摘要

A widely held view in solid-state physics is that disorder precludes the presence of long-range transport in one-dimension. Recently a series of models has been proposed that do not conform to this view such as the well known Random Dimer Model (RDM). In the following paper, we must present a generalization of the RDM. In particular, the nature of the eigenstates of a non-interacting electron is investigated by means of a popular one-dimensional Kronig-Penney Hamiltonian in which n-mers have been placed at random on a regular lattice. Mainly in each allowed energy band of the spectrum, it is found that n-mers exhibits n - 1 resonances associated to extended states. Moreover these resonances appear to be narrower if the potential is attractive against repulsive, i.e. constituted of wells instead barriers, which discriminates the ability in localizing the eigenstates. Attention has been paid to the energy transition as one approaches the two resonances of the random trimer within the first allowed band. The transition exhibits a smooth behaviour for the lower energy when compared to the higher one with respect to the first resonance and shows quite a similar behaviour for both sides close to the second resonance. The discrepancy is attributed to the typical nature of the eigenstates for each resonance. Correspondingly, the wave functions associated to the first resonance are not like Bloch-waves while for the second one they look like the crystal wave functions displaying only minor distortions. (author). 44 refs, 6 figs. (Atomindex citation 27:052409)