https://doi.org/10.1140/epjb/e2002-00330-7
Localization-delocalization transition in one-dimensional system with long-range correlated diagonal disorder
National Laboratory of Solid State Microstructures
and Department of Physics, Nanjing University, Nanjing 210093, PR China
Corresponding author: a sjxiong@nju.edu.cn
Received:
18
December
2001
Revised:
2
May
2002
Published online:
14
October
2002
We show that the electronic states in a one-dimensional (1D)
Anderson model of diagonal disorder with long-range correlation
proposed by de Moura and Lyra exhibit localization-delocalization
phase transition in varying the energy of electrons. Using
transfer matrix method, we calculate the average resistivity
and investigate how it changes with the size of the
system N. For given value of 
(>2) we find critical
energies 
and 
such that the resistivity decreases
with N as a power law 
for
electron energies within the range of ![$[E_{c1},E_{c2}]$](/articles/epjb/abs/2002/19/b01631/b01631_tex_eq6.png)
, and
exponentially grows with N outside this range. Such behaviors
persist in approaching the transition points and the exponent
is in the range from 0.92 to 0.96. The origin of the
delocalization in this 1D model is discussed.
PACS: 73.20.Jc – Delocalization processes / 72.15.Rn – Localization effects / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
