Absence of Anderson localization in certain random lattices
Physical Review E
American Physical Society
© 2017 American Physical Society
We report on the transition between an Anderson localized regime and a conductive regime in a one-dimensional microwave scattering system with correlated disorder. We show experimentally that when long-range correlations are introduced, in the form of a power-law spectral density with power larger than 2, the localization length becomes much bigger than the sample size and the transmission peaks typical of an Anderson localized system merge into a pass band. As other forms of long-range correlations are known to have the opposite effect, i.e., to enhance localization, our results show that care is needed when discussing the effects of correlations, as different kinds of long-range correlations can give rise to very different behavior.
J.B. acknowledge support from the Leverhulme Trust's Philip Leverhulme Prize. I.R.H. acknowledges financial support from the Engineering and Physical Sciences Research Council (EPSRC) of the United Kingdom, via the EPSRC Centre for Doctoral Training in Metamaterials (Grant No. EP/L015331/1).
This is the final version of the article. Available from American Physical Society via the DOI in this record.
Vol. 96, article 022122