Comment on “Delocalization in the 1D Anderson Model with Long-Range Correlated Disorder”

2000 ◽  
Vol 84 (1) ◽  
pp. 198-198 ◽  
Author(s):  
Jan W. Kantelhardt ◽  
Stefanie Russ ◽  
Armin Bunde ◽  
Shlomo Havlin ◽  
Itzhak Webman
Keyword(s):  
Long Range ◽  
Anderson Model

ANDERSON LOCALIZATION FOR A MULTIDIMENSIONAL MODEL INCLUDING LONG RANGE POTENTIALS AND DISPLACEMENTS

2002 ◽  
Vol 14 (03) ◽  
pp. 273-302 ◽  
Author(s):  
HERIBERT ZENK
Keyword(s):  
Long Range ◽  
Anderson Model ◽  
Anderson Localization ◽  
Short Range ◽  
Energy Interval ◽  
Multidimensional Model ◽  
Short Summary

We give a short summary on how to combine and extend results of Combes and Hislop [2] (short range Anderson model with additional displacements), Kirsch, Stollmann and Stolz [13] and [14] (long range Anderson model without displacements) to get localization in an energy interval above the infimum of the almost sure spectrum for a continuous multidimensional Anderson model including long range potentials and displacements.

Critical behavior of the two-dimensional Anderson model with long-range correlated disorder

2007 ◽  
Vol 19 (47) ◽  
pp. 476213 ◽  
Author(s):  
I F dos Santos ◽  
F A B F de Moura ◽  
M L Lyra ◽  
M D Coutinho-Filho
Keyword(s):  
Long Range ◽  
Critical Behavior ◽  
Anderson Model ◽  
Two Dimensional

Multifractality–Monofractality Phase Transition in the Anderson Model

1998 ◽  
Vol 12 (22) ◽  
pp. 921-927
Author(s):  
A. Bershadskii
Keyword(s):  
Phase Transition ◽  
Numerical Simulations ◽  
Specific Heat ◽  
Long Range ◽  
Anderson Model ◽  
Wave Functions ◽  
Bernoulli Distribution ◽  
Dipole Interactions

It is shown that statistics of multifractality–monofractality phase transition is described by a generalization of the Bernoulli distribution (multifractal Bernoulli distribution). It is also shown that this distribution is observed in numerical simulations of multifractal wave functions which use the Anderson model, both for short- and long-range disorder. In the last case (corresponding to the dipole interactions) the multifractal specific heat of the most eigenstates — c ≃ d/3, where d is dimension of the space.

Are the phases in the Anderson model long-range correlated?

1999 ◽  
Vol 266 (1-4) ◽  
pp. 461-464 ◽  
Author(s):  
Jan W. Kantelhardt ◽  
Richard Berkovits ◽  
Shlomo Havlin ◽  
Armin Bunde
Keyword(s):  
Long Range ◽  
Anderson Model

Diffusive, super-diffusive and ballistic transport in the long-range correlated 1D Anderson model

2006 ◽  
Vol 138 (12) ◽  
pp. 585-589 ◽  
Author(s):  
B. Santos ◽  
L.P. Viana ◽  
M.L. Lyra ◽  
F.A.B.F. de Moura
Keyword(s):  
Long Range ◽  
Anderson Model ◽  
Ballistic Transport

Delocalization in the 1D Anderson Model with Long-Range Correlated Disorder

1998 ◽  
Vol 81 (17) ◽  
pp. 3735-3738 ◽  
Author(s):  
Francisco A. B. F. de Moura ◽  
Marcelo L. Lyra
Keyword(s):  
Long Range ◽  
Anderson Model
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