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Localisation with phase correlations and the effect of periodic cycles

Research output: Contribution to journalJournal article

Published

Journal publication date10/05/1984
JournalJournal of Physics C: Solid State Physics
Journal number13
Volume17
Number of pages14
Pages2401-2414
Original languageEnglish

Abstract

This paper examines anomalies that arise in the transport properties of a disordered solid. The anomalies are associated with the period-r>or=2 marginally stable cycles of a keyphase recurrence relation. Their presence is signalled by divergences in standard nondegenerate perturbation theory. A 'degenerate' perturbation theory is developed within which anomalies can be computed by expanding about the cycles of interest. The low-order anomalies at energies corresponding to r=2 and 3 are evaluated and a possible extension to a system with an incommensurate potential is discussed.