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Electrons and Disorder in Solids$
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V. F. Gantmakher

Print publication date: 2005

Print ISBN-13: 9780198567561

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198567561.001.0001

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Electrons and Disorder in Solids

V.F. Gantmakher

Oxford University Press

This chapter presents an analysis of experimental data which shows that the metal-insulator transition is possible in materials composed of atoms of only metallic elements. Such a transition may occur in spite of the high concentration of valence electrons. It requires stable atomic configurations to act as deep potential many-electron traps absorbing dozens of valence electrons. This means that bulk metallic space transforms into an assembly of quantum dots. Depending on the parameters, such a material either contains delocalized electrons (metal) or does not (insulator). Two types of substances with such properties are discussed: liquid binary intermetallic compounds and thermodynamically stable quasicrystals. The latter contain long-range order but do not have translational symmetry, Penrose tiling is a mathematical example.

Keywords:   atomic configurations, intermetallic compounds, many-electron traps, quasicrystals, Penrose tiling, long-range order, translational symmetry

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