We numerically compute the distribution of localization lengths ξq for the qth moments of the wave function in the one-dimensional discrete Schrödinger equation with diagonal disorder, for the case in which the distribution of the potential has a power-law tail. We find a nonzero ‘‘mean’’ localization length ξ0, but zero ξq for q>q¯ (with q¯ depending on the probability distribution). The case therefore falls between the standard situation with a bounded potential (all ξq>0) and the ultralocalization case (all ξq=0).
Localization Properties of the One Dimensional Anderson Model with a Selfsimilar Random Potential / Crisanti, Andrea; G., Paladin; Vulpiani, Angelo. - In: PHYSICAL REVIEW. B, CONDENSED MATTER. - ISSN 0163-1829. - STAMPA. - 35:(1987), pp. 7164-7166. [10.1103/PhysRevB.35.7164]
Localization Properties of the One Dimensional Anderson Model with a Selfsimilar Random Potential
CRISANTI, Andrea;VULPIANI, Angelo
1987
Abstract
We numerically compute the distribution of localization lengths ξq for the qth moments of the wave function in the one-dimensional discrete Schrödinger equation with diagonal disorder, for the case in which the distribution of the potential has a power-law tail. We find a nonzero ‘‘mean’’ localization length ξ0, but zero ξq for q>q¯ (with q¯ depending on the probability distribution). The case therefore falls between the standard situation with a bounded potential (all ξq>0) and the ultralocalization case (all ξq=0).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
