Localization of Electrons in a One-Dimensional Disordered Crystal

Abstract

Localization of electrons in a one-dimensional disorder crystal and suppression of conduction were investigated in the research work. These were achieved by modeling the disorders within the crystal lattice with random potential barriers. The transmission coefficients of the electron (non-interacting electron) in the random potential barriers were determined and analyzed. All the electronic eigenstates were found to be localized and decay asymptotically exponentially. Also, using Landeur formula [3], the conductance of the disordered crystal was found to tend to zero.

Journal of the Nigerian Association of Mathematical Physics, Volume 20 (March, 2012), pp 273 – 284