ANDERSON TRANSITION ZONE IN THE SOUKOULIS-ECONOMOU MODEL OF ONE-DIMENSIONAL INCOMMENSURATE SYSTEMS

Using numerical calculation method, we have studied the Anderson transition in the Soukoulis-Economou model of one-dimensional incommensurate systems. Our results in-dicate that the Anderson transition in this model should take place gradually, i.e., the transition from the extended state to the localized state should pass through a zone in which the intermediate state is located. We call it the Anderson transition zone of the Soukoulis-Economou model. This new conclusion differs from the traditional concept, which holds that the Anderson transition of the Soukoulis-Economou model occurs abruptly at the mobility edges of this model.