Delocalization and wave-packet dynamics in one-dimensional diluted Anderson models

Details Delocalization and wave-packet dynamics in one-dimensional diluted Anderson models Delocalization and wave-packet dynamics in one-dimensional diluted Anderson models

2003-10-14

arxiv.org/abs/cond-mat/0310307v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 figures, to appear in EPJB

Scientific paper

10.1140/epjb/e2003-00319-8

We study the nature of one-electron eigen-states in a one-dimensional diluted Anderson model where every Anderson impurity is diluted by a periodic function $f(l)$ . Using renormalization group and transfer matrix techniques, we provide accurate estimates of the extended states which appear in this model, whose number depends on the symmetry of the diluting function $f(l)$. The density of states (DOS) for this model is also numerically obtained and its main features are related to the symmetries of the diluting function $f(l)$. Further, we show that the emergence of extended states promotes a sub-diffusive spread of an initially localized wave-packet.

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