Nature of the transmission and localization properties in one-dimensional disordered wells

A one-dimensional electrified Kronig-Penney model is examined to investigate the nature of the electronic states and transport properties of non-interacting electron disordered systems having a uniform distribution for the negative strengths of the δ-functions, i.e. the considered systems is constituted by wells. It is shown that the δ-functions, i.e. the considered system is constituted by wells. It is shown that the ordered limit exhibits jumps in the transmission coefficient versus momentum and a short localization length occurs before the first jump. In the disordered case, the phase diagram in the energy-disorder plane yields a detailed picture of the localization properties of the eigenstates (''superlocalization'', exponential localization, power-law localization and extended states). In particular, a short range localization is observed by means a peak occurring in the inverse participation ratio and a minimum in the localization length. Further, the present data reveal two distinctive behaviours corresponding to a negative differential resistance and resonances at particular energies, these being close to the edges of the Brillouin zones. (author). 27 refs, 10 figs