Localization in one-dimensional disordered systems

E. N. Economou, Morrel H. Cohen

Research output: Contribution to journalArticle

114 Scopus citations

Abstract

The basic idea that the convergence of the renormalized perturbation expression for the self-energy Δ0 at a given energy is equivalent to the localizability of the eigenstates, if any, at this energy is applied to one-dimensional random systems, namely, electrons in the tightbinding approximation and phonons. For nearest-neighbor interactions all eigenstates are localized. If second-nearest-neighbor interactions are present, the possibility of the existence of extended states remains; we have shown that existing theories are unable to give a definite answer to the problem in this case.

Original languageEnglish (US)
Pages (from-to)396-404
Number of pages9
JournalPhysical Review B
Volume4
Issue number2
DOIs
StatePublished - Jan 1 1971
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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