https://doi.org/10.1140/epjb/e2003-00319-8
Delocalization and wave-packet dynamics in one-dimensional diluted Anderson models
1
Departamento de Física, Universidade Federal
de Alagoas, 57072-970 Maceió, AL, Brazil
2
Departamento de Física, Universidade
Federal do Piaui, 64048550 Teresina, PI, Brazil
3
Departamento de Física, Fac.
de Ciencias, U. de Tarapacá, Casilla 7-D, Arica, Chile
Corresponding author: a marcelo@fis.ufal.br
Received:
7
July
2003
Published online:
19
November
2003
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.
PACS: 63.50.+x – Vibrational states in disordered systems / 63.22.+m – Phonons or vibrational states in low-dimensional structures and nanoscale materials / 62.30.+d – Mechanical and elastic waves; vibrations
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
