Absence of localization in certain statically disordered lattices in any spatial dimension

D. H. Dunlap, Kalyan Kundu, Philip Phillips

Research output: Contribution to journalArticlepeer-review

Abstract

We present a statically disordered electronic system in which under certain circumstances an initially localized particle necessarily becomes delocalized at long times regardless of the spatial dimension and the magnitude of the disorder. The model is based on correlations between diagonal and off-diagonal matrix elements and is shown to be applicable to structurally induced disorder in solids. Numerical and analytical calculations in one dimension indicate that transport is superdiffusive, with the mean-square displacement growing in time as t3/2, regardless of the magnitude of the disorder. Transport is shown to arise in this model from a set of measure-zero unscattered states at a particular energy in the parent-ordered band. It is argued that, when the Fermi level coincides with the energy of the unscattered states, an enhancement of transport should obtain. In addition, it is shown that superdiffusive motion persists for a wide range of correlations between the diagonal and off-diagonal matrix elements when the disorder is structurally induced and chosen from a bivalued distribution. The relevance of these results to transport experiments is discussed.

Original languageEnglish (US)
Pages (from-to)10999-11006
Number of pages8
JournalPhysical Review B
Volume40
Issue number16
DOIs
StatePublished - Jan 1 1989
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'Absence of localization in certain statically disordered lattices in any spatial dimension'. Together they form a unique fingerprint.

Cite this