Statistical crossover characterization of the heterotic localized-extended transition.
We investigated the spectral statistics of a quantum particle in a superlattice consisting of a disordered layer and a clean layer, possibly accompanied by random magnetic fields. Because a disordered layer has localized states and a clean layer has extended states, our quantum system shows a heterotic phase of an Anderson insulator and a normal metal. As the ratio of the volume of these two layers changes, the spectral statistics change from Poissonian to one of the Gaussian ensembles which characterize quantum chaos. A crossover distribution specified by two parameters is introduced to distinguish the transition from an integrable system to a quantum chaotic system during the heterotic phase from an Anderson transition in which the degree of random potentials is homogenous.
Ugajin
Ryuichi
R
Fusion Domain Laboratory, Sony Corporation, 5-21-15 Higashikojiya, Ota-ku, Tokyo 144-0033, Japan. Ryuichi.Ugajin@jp.sony.com