Self-similarity and localization

Jukka A. Ketoja, Indubala I. Satija

Research output: Contribution to journalArticleScientificpeer-review

40 Citations (Scopus)

Abstract

The localized eigenstates of the Harper equation exhibit universal self-similar fluctuations once the exponentially decaying part of the wave function is factorized out. For a fixed quantum state, we show that the whole localized phase is characterized by a single strong coupling fixed point of the renormalization equations. This fixed point also describes the generalized Harper model with next nearest neighbor interaction below a certain threshold. Above the threshold, the fluctuations in the generalized Harper model are described by a strange invariant set of the renormalization equations.

Original languageEnglish
Pages (from-to)2762-2765
Number of pages4
JournalPhysical Review Letters
Volume75
Issue number14
DOIs
Publication statusPublished - 1 Jan 1995
MoE publication typeNot Eligible

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