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zbMATH Open
Article
Data sources: zbMATH Open
Journal of Mathematical Physics
Article . 1997 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 1997
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Electronic transport properties of quasicrystals

Authors: Didier Mayou; G. Trambly de Laissardière; Stephan Roche;

Electronic transport properties of quasicrystals

Abstract

We present a review of some results concerning electronic transport properties of quasicrystals. After a short introduction to the basic concepts of quasiperiodicity, we consider the experimental transport properties of electrical conductivity with particular focus on the effect of temperature, magnetic field, and defects. Then, we present some heuristic approaches that tend to give a coherent view of different, and to some extent complementary, transport mechanisms in quasicrystals. Numerical results are also presented and in particular the evaluation of the linear response Kubo–Greenwood formula of conductivity in quasiperiodic systems in the presence of disorder.

Keywords

electrical conductivity, Kubo-Greenwood formula, Micromechanics of solids, Condensed Matter (cond-mat), Transport processes in time-dependent statistical mechanics, quasiperiodicity, temperature, FOS: Physical sciences, magnetic field, Condensed Matter, linear response, Technical applications of optics and electromagnetic theory, Micromechanical theories, Statistical mechanics of crystals, defects

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    95
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
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    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
95
Top 10%
Top 10%
Top 10%
Green
bronze