Localization in one-dimensional disordered systems

E. N. Economou, Morrel H. Cohen

Research output: Contribution to journalArticlepeer-review

114 Scopus citations


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
Issue number2
StatePublished - 1971
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


Dive into the research topics of 'Localization in one-dimensional disordered systems'. Together they form a unique fingerprint.

Cite this