New trends in localization theory

Gerardo G. Naumis

Physica A: Statistical Mechanics and its Applications, 2006, vol. 372, issue 2, 243-248

Abstract: In this article we discuss some recent trends in the research of electron and phonon localization, specially in the field of quasiperiodic potentials. Then, a new scheme to detect and classify localization is developed by studying the band scaling of a related supercrystal made from replicas of the system. For one dimension, this leads to the use of dynamical systems theory to obtain the localization length and the scaling exponents of the wave functions.

Keywords: Dynamical systems; Localization; Quasicrystals; Quasiperiodic (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:372:y:2006:i:2:p:243-248

DOI: 10.1016/j.physa.2006.08.012

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