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Phase recurrences and metastability in a one-dimensional solid

Research output: Contribution to journalComment/debate

Published

Journal publication date12/05/1983
JournalPhysical Review B
Journal number9
Volume27
Number of pages4
Pages5860-5863
Original languageEnglish

Abstract

The inverse localization length α (and hence resistance) of a one-dimensional disordered solid can be expressed in terms of a cumulative phase ε which obeys a nonlinear finite-difference equation. We examine this equation in the limit of zero disorder and obtain an expression for probability distribution P(ε). In the band-gap region, there is a stable fixed point leading to a nonzero α. At discrete points within a band there are metastable attractors with period ≥ 2 which for a small amount of disorder can lead to anomalies in α.