Absence of localization in a model with correlation measure as a random lattice
2004 (English)In: Physical Review B, Condensed matter and materials physics, Vol. 69, no 9, 094204- p.Article in journal (Refereed) Published
A coherent picture of localization in one-dimensional aperiodically ordered systems is still missing. We show the presence of purely singular continuous spectrum for a discrete system whose modulation sequence has a correlation measure which is absolutely continuous, such as for a random sequence. The system showing these properties is modeled by the Rudin-Shapiro sequence, whose correlation measure even has a uniform density. The absence of localization is also supported by a numerical investigation of the dynamics of electronic wave packets showing weakly anomalous diffusion and an extremely slow algebraic decay of the temporal autocorrelation function.
Place, publisher, year, edition, pages
2004. Vol. 69, no 9, 094204- p.
IdentifiersURN: urn:nbn:se:liu:diva-14652DOI: 10.1103/PhysRevB.69.094204OAI: oai:DiVA.org:liu-14652DiVA: diva2:24116