Absence of localization in a random-dimer model

David H. Dunlap, H. L. Wu, Philip W. Phillips

Research output: Contribution to journalArticlepeer-review

Abstract

We consider here a 1D tight-binding model with two uncorrelated random site energies μa and ub and a constant nearest-neighbor matrix element V. We show that if one (or both) of the site energies is assigned at random to pairs of lattice sites (that is, two sites in succession), an initially localized particle can become delocalized. Its mean-square displacement at long times is shown to grow in time as t3/2 provided that -2V<μa-μb<2V. Diffusion occurs if μa-μb=+2V and localization otherwise. The dual of the random-dimer model is also shown to exhibit an absence of localization and is shown to be relevant to transmission resonances in Fibonacci lattices.

Original languageEnglish (US)
Pages (from-to)88-91
Number of pages4
JournalPhysical review letters
Volume65
Issue number1
DOIs
StatePublished - 1990
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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