Statistics of transmission in one-dimensional disordered systems: Universal characteristics of states in the fluctuation tails

Article

关键词: RANDOM LASER;    SEMICONDUCTOR SUPERLATTICES;    ANDERSON MODEL;    SCALING THEORY;    LOCALIZATION;    EIGENFUNCTIONS;    CONDUCTIVITY;    CONDUCTORS;    DIFFUSION;    CRYSTALS;   

DOI  :  10.1103/PhysRevB.68.174203

来源: SCIE

【 摘 要 】

We numerically study the distribution function of the conductance (transmission) in the one-dimensional tight-binding Anderson and periodic-on-average superlattice models in the region of fluctuation states where single parameter scaling is not valid. We show that the scaling properties of the distribution function depend upon the relation between the system's length L and the length l(s) determined by the integral density of states. For long enough systems, Lmuch greater thanl(s), the distribution can still be described within a new scaling approach based upon the ratio of the localization length l(loc) and l(s). In an intermediate interval of the system's length L, l(loc)much less thanLmuch less thanl(s), the variance of the Lyapunov exponent does not follow the predictions of the central limit theorem and this scaling becomes invalid.

【 授权许可】

Free