https://doi.org/10.1140/epjb/e2004-00196-7
Full-band extended states with random phases in one-dimensional disordered system with specific impurities
National Laboratory of Solid State Microstructures and
Department of Physics, Nanjing University, Nanjing 210093, P.R. China
Corresponding author: a dshu@nju.edu.cn
Received:
9
February
2004
Revised:
6
May
2004
Published online:
12
July
2004
We investigate transport properties of electrons in a
one-dimensional (1D) disordered system consisting of a host chain
attached with specific impurities. Every impurity, labelled by j
and possessing site energy , is side-coupled to two
adjacent sites of the host chain with hopping integral
and changes the original nearest-neighbor (NN) hopping to
.
We show that if
and
for all impurities, with t0 being the NN
hopping of the host chain, the states in the whole band are
extended, even though
's and positions of impurities
are random. The phases of these states, however, are spatially
random, corresponding to finite free path and infinite
localization length in such a 1D system.
PACS: 72.15.Rn – Localization effects (Anderson or weak localization) / 72.80.Ng – Disordered solids / 73.20.Jc – Delocalization processes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004